Answer:
63.4°
Step-by-step explanation:
Use the right triangle with vertices (0, 4), (6, 4), and (6, 7).
We are looking for the measure of the interior angle of the triangle at vertex (6, 7).
Call that angle, <A.
tan A = opp/adj
tan A = 6/3
A = 63.4°
The angle between the Serengeti Stream and the x-axis at the point (6, 7) is approximately 63.4°.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
The equation of the straight line that goes through the points (0, 4) and (6, 7),
First, let's calculate the slope:
m = (7 - 4) / (6 - 0) = 3/6 = 1/2
Now we can use the point-slope formula with the point (0, 4) and slope m = 1/2:
(y - 4) = (1/2)(x - 0)
y = (1/2)x + 4
Next, we need to find where this line intersects the Crocodile River, which is represented by the x-axis.
Setting y = 0 in the equation above, we get:
0 = (1/2)x + 4
x = -8
So, the Serengeti Stream flows into the Crocodile River at the point (-8, 0).
The slope of the Serengeti Stream at (6, 7) is:
m = (7 - 4) / (6 - 0) = 1/2
The slope of the line perpendicular to the Serengeti Stream at (6, 7) is the negative reciprocal of the slope of the Serengeti Stream:
m_perpendicular = -1/m = -1/(1/2) = -2
So the equation of the line perpendicular to the Serengeti Stream at (6, 7) is:
(y - 7) = (-2)(x - 6)
y = -2x + 19
The arctangent of the slope:
angle = arctan(-2)
angle ≈ -63.4° (CCW)
Therefore, the angle between the Serengeti Stream and the x-axis at the point (6, 7) is approximately 63.4°.
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In circle O, AC and BD are diameters. Circle O is shown. Line segments B D and A C are diameters. A radius is drawn to cut angle C O C into 2 equal angle measures of x. Angles A O C and B O C also have angle measure x. What is mArc A B?
Answer:
120
Step-by-step explanation:
Got it right on the assigment
Answer:
c. 120
Step-by-step explanation:
Two rectangles are joined together to form a single large area. The rectangles do not overlap. The first rectangle has side lengths of 333 meters and 555 meters. The second rectangle has side lengths of 777 meters and 444 meters. What is the combined area?
Answer:
Step-by-step explanation:
333 times 555=184815
777 times 444=344988
now add 184815+344988=529803
Please answer it now
Answer:
1306.90≅ 1307 rounded to the nearest tens
Step-by-step explanation:
r= radius = 13 cm
l is the slant height =19 cm
surface area of the cone= area of the circle + area of the curved of the cone
SA=πrl +πr²
SA=π(13)(19) +169π
SA= 247π +169π= 416π=1306.90≅ 1307 rounded to the nearest tens
Find the missing the side of the triangle A. 130−−−√ m B. 179−−−√ m C. 42–√ m D. 211−−−√ m
Answer:
The answer is option AStep-by-step explanation:
Since the triangle is a right angled triangle we can use the Pythagoras theorem to find the missing side
Using the Pythagoras theorem
That's
[tex] {a}^{2} = {b}^{2} + {c}^{2} [/tex]
From the question
x is the hypotenuse or the longest side of the triangle
Substituting the values into the above formula we have
[tex] {x}^{2} = {9}^{2} + {7}^{2} [/tex]
[tex] {x}^{2} = 81 + 49[/tex]
[tex] {x}^{2} = 130[/tex]
Find the square root of both sides
We have the final answer as
x = √130 mHope this helps you
nikhil has RS 80000 from this,he gives 30% to his wife and 20% to his father. Find the amount received by wife and father
Answer:
Amount received by wife = RS 24000
Amount received by father = RS 16000
Step-by-step explanation:
His income is RS 80000
He gave 30% of his income to his wife
That's
[tex] \frac{30}{100} \times RS \: \: 80000[/tex]
Which is RS 24000
He gave 20% of his income to his father
That's
[tex] \frac{20}{100} \times RS \: \: 80000[/tex]
Which is RS 16000
Hope this helps you
The marketing department at Quality Home Improvement Center (QHIC) uses simple linear regression analysis to predict home upkeep expenditure on the basis of home value. Predictions of home upkeep expenditures are used to help determine which homes should be sent advertising brochures promoting QHIC's products and services.
Full question :
The Tasty Sub Shop Case:
A business entrepreneur uses simple linear regression analysis to predict the yearly revenue for a potential restaurant site on the basis of the number of residents living near the site. The entrepreneur then uses the prediction to assess the profitability of the potential restaurant site.
And
The QHIC Case:
The marketing department at Quality Home Improvement Center (QHIC) uses simple linear regression analysis to predict home upkeep expenditure on the basis of home value. Predictions of home upkeep expenditures are used to help determine which homes should be sent advertising brochures promoting QHIC’s products and services.
Discuss the difference in the type of prediction in both cases and provide rational of the reasons that these predictions were used.
Answer and explanation:
In the first case, The Tasty Sub Shop Case, the entrepreneur aims to utlilize the predicted values from his regression analysis in ascertaining profit of his potential business. He does this using the values from number of residents in the area(independent variables) to predict the revenue for his business(dependent variables). His predictions using the number of residents in the area are largely because the residents in the area are his target consumers and are the ones to buy food from his restaurant and increase his revenue.
In the other case, the marketing department in QHIC utilizes the predicted values in determining their customers who need to be aware of their products. They get the predicted values(home upkeep expenditure and dependent variable) by plotting their relationship with home value(independent variable) and then use predicted values of home upkeep expenditures in determining their customers who they will market their products to. They do this because predicting home upkeep expenditures will enable them determine what homes can afford or will need their products and services.
one utilizes his predictions at ascertaining profit while the other uses his predictions in determining potential customer base to market products to. The first case is making a revenue/ profitability prediction while the other is making a market prediction
Someone please help me!! Tyy
Answer:
x² = 900
Step-by-step explanation:
ΔABC is an equilateral triangle because its sides are equal lengths
this means their angles are also equal.
180 / 3 = 60
∠BCA and ∠DCA are supplementary angles - add up to 180º
if ∠BCA = 60º, then ∠DCA = 120º
ΔACD is an isosceles triangle because two sides are equal lengths. this means their angles are equal.
∠CAD ≅ ∠CDA
180 - ∠DCA = 2(∠CAD)
180 - 120 = 60
60 / 2 = 30º
x = 30º
x² = 900
What is the value of the expression below when w = 3?
4w2 – 7w – 8
Step-by-step explanation:
w=3
4w^2-7w-8
4*3^2-7*3-8
4*9-21-8
4*9-29
36-29
7
hope this helps
Answer:
7
Step-by-step explanation:
9.Find the perimeter of the triangle formed by points (0,4), (0,0) and (3,0)
(1 Point)
55
1212
1111
None of these
Answer:
12Step-by-step explanation:
A(0,0) ∧ B(3,0) ⇒ AB = 3
A(0,0) ∧ C(0,4) ⇒ AC = 4
From Pythagorean theorem:
AB² + AC² = AB²
3² + 4² = AB²
AB² = 9+16 = 25
AB = 5
Perimeter:
AB + AC + BC = 3 + 4 + 5 = 12
For what real numbers x is x 2 − 10 x + 25 negative?
Answer:
no real numbers
Step-by-step explanation:
x^2 − 10 x + 25
Factor
What 2 numbers multiply to 25 and add to -10
-5*-5 = 25
-5+-5 = -10
( x-5) (x-5)
This touches the graph at x =5
The parabola is positive so there are no values where the graph is negative
Answer:
No real solutions
Step-by-step explanation:
Part 1: Factoring the quadratic
The equation is in quadratic form - ax² + bx + c = 0.
Therefore, we can use a factoring technique to solve for x. I will use the quadratic formula - [tex]x=\frac{-b \pm \sqrt{b^{2}-4ac} }{2a}[/tex].
[tex]x=\frac{-(-10)\pm \sqrt{(-10)^{2}-4(1)(25)} }{2(1)}\\\\x=\frac{10\pm\sqrt{100-4(25)} }{2}\\\\x=\frac{10\pm\sqrt{100-100}}{2}\\\\x=\frac{10\pm\sqrt{0}}{2}\\\\x=\frac{10\pm0}{2}\\\\x=\frac{10}{2}\\\\\boxed{x=5}[/tex]
Part 2: Using discriminant to determine roots
Because the discriminant (square root portion of formula) was equivalent to zero, this is the only solution that proves the equation correctly. Therefore, there is no possible negative value that can be substituted for x without altering the final value that the equation is equal to.
Solve for y.
y/-1 +-7=-11
Answer:
y = 4
Step-by-step explanation:
Move all terms not containing y to the right side of the equation.
-y = -4
Multiply each term in − y = − 4 by − 1
y = 4
Hope this can help you
Two birds sit at the top of two different trees. The distance between the first bird and a birdwatcher on the ground is 32 feet. The distance between the birdwatcher and the second bird is 45 feet. A triangle is created from point Bird Watcher, point First Bird, and point Second Bird. Angle First Bird is a right angle, and angle Second Bird measures x degrees. What is the angle measure, or angle of depression, between this bird and the birdwatcher? Round your answer to the nearest tenth. 35.4° 44.7° 45.3° 54.6°
Answer:
Step-by-step explanation:
When you draw out that picture (and very good description, btw!) basically what you have is a right triangle that has a base of 32 and a hypotenuse of 45. The right angle is one of the base angles and x is the vertex angle. We need to find the vertex angle before we can find the angle of depression from the second bird to the watcher. The side of length 32 is opposite the angle x, and 45 is the hypotenuse, so the trig ratio we need is the only one that directly relates side opposite to hypotenuse, which is the sin ratio:
[tex]sin(x)=\frac{32}{45}[/tex] and
sin(x) = .711111111
Go to your calculator and hit the 2nd button then the sin button and on your screen you will see:
[tex]sin^{-1}([/tex]
and after that open parenthesis enter in your decimal .711111111 and hit equals. You should get an angle of 45.325. That's angle x. But that's not the angle of depression. The angle of depression is the one complementary to angle x.
Angle of depression = 90 - angle x and
Angle of depression = 90 - 45.325 so
Angle of depression = 44.67 or 44.7 degrees.
Answer:
Its 45.3!!!
Step-by-step explanation:
Study the samples below to answer questions
26 and 27.
pls brainiest
Answer:
1 st pattern 48+122 = 170
2 nd pattern 8½+3½ = 5
so, 3rd pattern 41+13= 54 (B)
41+13=54 this is the ans
the tripled product of 12 and a number is 102. what is the number
Answer:
Step-by-step explanation:
Let
The known number = 12
The unknown number = x
Result = 102
Product of 12 and a number= 12*x
= 12x
Tripled product of 12x= 3(12x)
=36x
36x = 102
Divide both sides by 36
x = 102/36
= 2.833
x=2.833
PLEASE HELP! WILL GIVE BRAINLIEST!
Answer:
f(1) = 45
f(n) = f(n-1)*(4/5)
Step-by-step explanation:
f(1)
= 45(4/5)^(1-1)
= 45(4/5)^(0) use law of exponents
= 45*1
= 45
f(1) = 45
f(n) = f(n-1)*(4/5)
Can someone help me? Thanks!
Answer:
question 11: A
question 12: B
Step-by-step explanation:
Thanks calculator :)
Answer:
11. less than
12.less than
hope this helps
Step-by-step explanation:
Please help! I’m this figure, which angles are congruent? Find the measure of all the angles if m< 2= 76 degrees
Problem 1.
Yes it is true that vertical angles are congruent, but that's not what your teacher is asking. Instead, your teacher is asking basically how the term "congruent" is defined.
Two segments are congruent if they are the same length. Two angles are congruent if they are the same measure. Two triangles are congruent if they have the same angles and sides.
So in short, "congruent" just means "same". You can think of having mirror copies.
==========================================
Problem 2.
Angles 2 and 4 are one pair of vertical angles. They are opposite one another in this X shape formed by the two lines. The other pair of vertical angles are angle 1 and angle 3.
Angle 2 is given to be 76 degrees, so this means angle 4 is this measure as well.
Angle 1 = 180 - (angle 2) = 180 - 76 = 104, which is also the measure of angle 3 as well. I'm using the idea that the adjacent angles form a straight angle. This is known as a linear pair (ie the angles form a straight line).
==========================================
Problem 3.
If all three angles are the same (all 60 degrees), then we have an equilateral triangle. We could say it's equiangular, but it's also equilateral as well meaning all 3 sides are the same length. "equi" means "equal", "angular" means what you'd expect, and "lateral" means "side".
If only two angles are equal with the third one different, then we have an isosceles triangle. An isosceles triangle is one where only two sides are the same length.
If none of the angles are the same, then we have a scalene triangle. As you probably expect, none of the sides are the same length with a scalene triangle.
----
If all three angles are less than 90 degrees, then the triangle is acute
If one angle is 90 degrees, then we have a right triangle
If one angle is over 90 degrees (but less than 180), then the triangle is obtuse
---
Often you'll see the terms of the previous two sections combined. For instance, we could have an isosceles right triangle. Or we might have an obtuse scalene triangle. Any equilateral triangle is acute (as all three angles are less than 90).
To solve this problem we have to understand what congruent angles are and then find the angles that are congruent to one other in this given question.
What are Congruent Angles?Congruent angles are angles that are equal to one another and in the given question, we were given m<2 = 76 degrees.
Data;
m<2 = 76 degreesIf we look critically at the angles, we can use opposite angle theorem here to predict angles that are congruent to another here.
angles 2 and angle 4 are congruent to one another while angle 1 and angle 3 are congruent to one another.
This implies that
m<2 = 76°m<4 = 76°Let's solve for other angles.
But the some of angles at a point is equal to 360°
Applying that theorem here,
[tex]m > 1=x\\m > 2 = 72^0\\m > 3 = x\\m > 4 = 72^0[/tex]
Let's substitute the values and solve.
[tex]x+ x + 72+72 = 360\\2x + 144 = 360\\2x = 360 - 144\\2x = 216\\x = \frac{216}{2} \\x = 108^0[/tex]
This can be further summarized as
m<1 = 108°m<2 = 72°m<3 = 108°m<4 = 72°Learn more on corresponding angles here;
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If BH = 108, find DE.
Answer:
BH= 108 --> 1st until 6th space
so, 108/6 = 18 for each space
DE...?
DE only use 1 space so the answers is 18 unit
I hope this helps^_^
You are selling lemonade for $1.50, a bag of kettle corn for $3, and a hot dog for $2.50 at a fair. Write and simplify an expression for the amount of money you receive when p people buy one of each item
Answer:
1.5p + 3p + 2.5p
Step-by-step explanation:
This expression, 1.5p + 3p + 2.5p, will represent the amount of money received when p people buy one of each food item.
Since the price of each is the coefficient for p, this will represent how much money will be gained from each food item. All 3 terms will be added together to represent the total amount of money gained from selling all 3 items.
A group of students is arranging squares into layers to create a project. The first layer has 4 squares. The second layer has 8 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer?
Answer:
answer is d
Step-by-step explanation:
Simplify to create an equivalent expression. 8-4(-x+5)
Answer:= -12+4x
Step-by-step explanation:
Distribute -4 through the parentheses
8+4x=20
Calculate the difference
-12+4x
For the function f(x) = x + 7, what is the ordered pair for the point on the graph where x = 2b? (2b, 2b + 7) (2b, x + 7) (x, x + 7) (x, 2b + 7)
Answer:
(2b, 2b + 7).
Step-by-step explanation:
y = x + 7 and x = 2b ,
therefore y = 2b + 7.
Answer:
(2b, 2b + 7)
Step-by-step explanation:
i need help on figuring this out and the answer plz!!
Answer:
$76
Step-by-step explanation:
The amount changed is the total amount of the whole entire thing.
Therefore, we use absolute value or simply find the difference.
21 - (-55) = 76
So the bank account changed $76 over the 2 days.
Help!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x > - 8 or x < 2
Step-by-step explanation:
Given
- 8 < 2(x + 4) or - 3x + 4 > x - 4
Solve each part separately
- 8 < 2(x + 4) ← divide both sides by 2
- 4 < x + 4 ( subtract 4 from both sides )
- 8 < x , thus
x > - 8
OR
- 3x + 4 > x - 4 ( subtract x from both sides )
- 4x + 4 > - 4 ( subtract 4 from both sides )
- 4x > - 8
Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity
x < 2
Solution is x > - 8 or x < 2
-2x-7+9-2= Please can i have an answer
Answer:
-2x
Step-by-step explanation:
-2x-7+9-2
Combine like terms
-2x +0
-2x
Answer:
-2x
Step-by-step explanation:
from the question
-2x-7+9-2=
step 1
collect the like terms
we have,
-2x-7+9-2
-2x + 2 -2
-2x + 0
-2x
therefore the answer to the question -2x-7+9-2 is equal to -2x
What is the slope of the line represented by the equation y
4 X - 3?
0.-
to
Answer:
The slope is 4/1
Step-by-step explanation:
for every 4 units you go up on the y-axis, you go 1 unit on the x-axis.
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Answer:
See explanation
Step-by-step explanation:
a) 15:20 - 12:35 = 14:80 - 12:35 = 2 hours and 45 minutes
b) 13:05 - 10:15 = 12:65 - 10:15 = 2 hours and 50 minutes
c) 6:50 - 4:30 = 2 hours and 20 minutes
d) 1:15pm - 9:55am = 13:15 - 9:55 = 12:75 - 9:55 = 3 hours and 20 minutes
Answer:
a) 15:20 - 12:35 = 14:80 - 12:35 = 2 hours and 45 minutes
b) 13:05 - 10:15 = 12:65 - 10:15 = 2 hours and 50 minutes
c) 6:50 - 4:30 = 2 hours and 20 minutes
d) 1:15pm - 9:55am = 13:15 - 9:55 = 12:75 - 9:55 = 3 hours and 20 minutes
Step-by-step explanation:
The Ruiz family is exchanging euros for US dollars. The exchange rate is 1 euro equals 1.35261 USD. Since the Ruiz family knows that USD are stated to the nearest hundredth of a dollar, they used the conversion ratio. Will this give the Ruiz family the correct exchange?
Answer:
It will depend on how many euros they intend to convert. If they were only converting one euro they would get $1.35 whichever rate they used, but imagine it was a thousand euros - at the correct rate they would get $1352.61, at the proposed rate they would only get $1350.
Step-by-step explanation:
No, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. Using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion.
Answer:
No, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. Using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion.
Step-by-step explanation:
just copy/paste
divide this decimals 5.2 divided 4
Answer:
1.3
Step-by-step explanation:
5.2/4 = 1.3
To check, 1.3 multiplied by four is 5.2.
Answer:
It’s 1.3
Step-by-step explanation:
Make meeee brainliest
Find the length of the arc. A. 187π/12 ft B. 16π/3 ft C. 49π/6 ft D. 343π/12 ft
Answer:
[tex]\huge \boxed{\mathrm{Option \ C}}[/tex]
Step-by-step explanation:
Length of arc formula = θ/360 × 2[tex]\pi[/tex]r
The angle is 210 degrees.
The radius is 7 ft.
210/360 × 2[tex]\pi[/tex](7)
Simplify the expression.
210/360 × 14[tex]\pi[/tex]
2940/360[tex]\pi[/tex]
49/6[tex]\pi[/tex]
The length of the arc of circle having radius 7 feet is 49π/6 which is option C.
What is arc?An arc is a part of circumference of a circle which is formed from two radius of the circle. The length of arc is equal to Θr in which r is radius and Θ is angle in radian form.
How to find length of arc?We have been given the radius of the circle be 7 feet and angle be 210°.
The length of arc will be Θr in which r is the radius and Θ is the angle in radian form.
First we have to convert angle in radian form=210*π/180=7π/6.
Length of arc=7π/6*7
=49π/6
Hence the length of the arc of circle having radius 7 feet is 49π/6 which is option C.
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