Answer:
1.39 m
Step-by-step explanation:
sin 63 = x/13.5 (x = CD)
sin 52 = x/13.5 (x=AC)
take the difference between the two
Given the following terms of a geometric sequence: a1=7, a11=7340032 ; Determine r and a8
Answer:
r = 4
a8 = 114,688
Step-by-step explanation:
a1=7
a11 = 7340032
a11 = a1*r^10
7340032 = 7 * r^10
7340032 = 7r^10
r^10 = 7340032/7
r^10 = 1,048,576
Find the 10th root of both sides
10√r^10 = 10√1,048,576
r = 4
a8 = a1 * r^7
= 7 * 4^7
= 7 * 16,384
= 114,688
a8 = 114,688
Mrs. Kelly's brother is 15 year younger than her. Their combined ages add up to 62 years. What is Mrs. Kelly's age
Answer:
38.5 years old
Step-by-step explanation:
Let us represent Mrs.Kelly's age with the parameter (k). It is given that her brother is (15) years younger than her, thus his age is (k - 15). It is given that the sum of their ages is (62). Therefore one can form an equation with the given information and solve for the unknown.
(Mrs.Kelly's age) + (Brother) = (62)
Substitute,
(k) + (k - 15) = 62
Simplify,
k + k - 15 = 62
2k - 15 = 62
Inverse operations,
2k - 15 = 62
2k = 77
k = 38.5
H. E. L. P. ! ! ! !
Answer:
(D) $1 050
Step-by-step explanation:
Simple interest = 7000 × 3 × 5/100 =
70 x 15 = 1 050
What is the equation of the line that passes through the point (−4,−8) and has a slope of 4?
Answer:
i hatee maths thank u
Step-by-step explanation:
The equation of a circle is (x-5)^2+(y-7)^2=36. What is the radius of the circle?
[tex] \boxed{ \huge\boxed{ \mathcal{A}\mathfrak {nswer...}}}[/tex]
The equation of a circle is represented as :
[tex] \large\boxed{(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} }[/tex]
where,
"h" represents x - coordinate of the center of circle "k" represents y - coordinate of the center of circle" r " represents Radius of the given circleSo, from above equation we get:
[tex] {r}^{2} = 36[/tex][tex]r = 6[/tex]Therefore, Radius of the given circle measures 6 units.
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
What is the volume of the rectangular prism below
Answer:
D. 501,120mm^3
Step-by-step explanation:
Volume of a rectangle:
length x width x height
So, plug in what you know:
80*104.4*60=
501,120mm^3
PLSS HELP NEED ANSWER RIGHT NOW BEFORE THE TIME ENDS!
THANK YOU!!
Answer:
third box
first box
second box
Step-by-step explanation:
1/3x + 1/4 -2/3x; combine like terms
-1/3x + 1/4 (third box)
1/3x + 1/4 + 2/3x; combine like terms
(3/3)x +1/4 (first box)
3/3 is 1, so we don't have to write it
2/3 + 3/4x -1/3; combine like terms
1/3 + 3/4x (swap, and is second box)
Given a standard six-sided die, what is 1 point the probability of rolling a 2? Please use a fraction bar (/) OR a colon (:) to represent your answer.
Answer:
1/6
Step-by-step explanation:
We know that a die has 6 sides. What would be the probability to roll 1 of those sides? (to rephrase the question)
well. the probability to roll one of the sides on a 6 side dice is 1/6, 1 side on the 6 sided die.
Answer:
1/6
Step-by-step explanation:
There are six possible outcomes when rolling a die
1,2,3,4,5,6
P(rolling a 2) = number of outcomes that is a 2/ total outcomes
= 1/6
HELP FAST TO WHOEVER CAN PLEASE !!
Which table represents exponential growth?
Step-by-step explanation:
the second is ur answer
x|y
1|2
2|4
3|8
4|16
solve for x round to the nearest tenth if necessary
Answer:
x ≈ 7.7
Step-by-step explanation:
Using the sine ratio in the right triangle
sin69° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{HI}{GI}[/tex] = [tex]\frac{7.2}{x}[/tex] ( multiply both sides by x )
x × sin69° = 7.2 ( divide both sides by sin69° )
x = [tex]\frac{7.2}{sin69}[/tex] ≈ 7.7 ( to the nearest tenth )
X+y=0
x-y+2=0
Help, also write on paper please? I wanna learn how to do this
Step-by-step explanation:
Y=x
Y=x+2
Plot graph but not up to scale just for u to understand
Someone help me please
Answer:
-32..............
......
Answer:
-32.
Step-by-step explanation:
This is basically the same thing as multiplying -2 5 times (-2x-2x-2x-2x-2), and you get -32.
Given right triangle ABC, which of the following statements must be true
Check all that apply.
A. sin A = Cos(90° - A)
B. cosA = sin C
C. ZA and ZC are supplementary
D. sin A = Cos(90°-C)
A + B are correct
via a p e x
The correct statements are A and B
What is a right-angled triangle?
'A triangle in which one of the interior angles is 90° is called a right-angled triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.'
According to the given problem,
cos(A−B) = cosAcosB + sinAsinB .
Let A=90∘, B = a
Therefore.
cos(90∘−a) = cos90∘cosa + sin90∘sina.
Here, we have,
cos90∘ = 0, sin90∘ = 1.
cos(90∘−a) = sina
Now, we know,
sin∅ = [tex]\frac{Perpendicular}{Hypotenuse}[/tex]
cos∅ = [tex]\frac{Base}{Hypotenuse}[/tex]
For ∠BAC,
cosA = [tex]\frac{AB}{AC}[/tex]
For ∠ACB,
sinC = [tex]\frac{AB}{AC}[/tex]
Hence, we can conclude, A and B are the true statements for the given right-angled triangle.
Learn more about right-angled triangle here:
https://brainly.com/question/13263113
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factorise using suitable identities
x^2 - 2x + 1
Answer:
(x - 1)^2
Step-by-step explanation:
using middle term break method
x^2 - 2x + 1
here, we need to numbers which gives 1 when multiplied and 2 when add .
=x^2 - (1 + 1)x + 1
=x^2 - x - x + 1
=x(x - 1) -1(x - 1)
=(x -1)(x - 1)
=(x - 1)^2
Step-by-step explanation:
by middle term factorisation method
x^2 -2x + 1
= x^2 -( 1+1)x + 1
= x^2 -x -x + 1
= x(x-1) -1( x -1)
= (x-1)(x-1)
OR
we know above polynomial ( quadratic ) equation is in form
(a - b )^2 = a^2 -2ab + b^2
so it's factories form is
( a- b)( a- b)
3. (05.02 LC) You can draw a quadrilateral with no parallel lines and at least one right angle. (1 point) True or False
======================================================
Explanation:
If you have exactly one right angle, then it is possible to have no parallel lines. See the diagram below. Refer to the upper figure.
If you had exactly 2 right angles, then that would form a trapezoid. A trapezoid has exactly one pair of parallel lines.
If you had 4 right angles, then it would form a rectangle. Any rectangle is a parallelogram, so we have 2 pairs of parallel lines by this point.
It's not possible to have a quadrilateral with exactly 3 right angles (and the fourth angle is some non-right angle). This is because all four angles of any quadrilateral must add to 360 degrees.
What is the value of tan (–3 pi/4 )?
Fill in the blanks with two consecutive integers to complete the following inequality.
? < √97 < ?
Answer:
9 < √97 < 10
Step-by-step explanation:
√97 is a little less than √100
Which is 10
9 < √97 < 10
=====================================================
Explanation:
Consider that 81 < 97 < 100 is a true statement. Note the 81 and 100 are perfect squares such that 81 = 9^2 and 100 = 10^2
We can apply the square root to all three sides to get the following
[tex]81 < 97 < 100\\\\\sqrt{81} < \sqrt{97} < \sqrt{100}\\\\\sqrt{9^2} < \sqrt{97} < \sqrt{10^2}\\\\9 < \sqrt{97} < 10\\\\\text{The number }\sqrt{97} \text{ is between 9 and 10}\\\\[/tex]
Using a calculator, we can help verify this
[tex]\sqrt{97} \approx 9.85[/tex]
PLEASE HELP LIKE RIGHT NOW LOL
Identify all expressions equivalent to 3.8-2-1.
4
0 6₃3
-1 + 3
3
4.5-1
3
•8+1
4.
Answer:
It's definitely not the first one or the second one, not sure about the third one but the last one is equivalent to it.
3/4 x . 8 = 6
2-1=1
Ravi and Bella start watching a dvd a 7:40. The dvd lasts for 2 hours 25 minutes. At what time do they stop watching the dvd.
Answer:
10:05
Step-by-step explanation:
10:05
7:40+2 hours =9:40+25=10:05
Factor the following expression.
x4 + x2 – 20
Answer:
2(2x+x-10)
Step-by-step explanation:
The common factor of this expression is 2 so when you factor out a 2 you have to divide everything in the expression by 2.
Answer: (−2)(+2)(/2+5)
Solve for X answer as a whole number
Step-by-step explanation:
[tex] {a}^{2} = {4}^{2} + {2}^{2} \\ {a}^{2} = 16 + 4 \\ {a}^{2} = 20 \\ a= \sqrt{20} \\ {x}^{2} = {( \sqrt{20} )}^{2} + {3}^{2} \\ {x}^{2} = 20 + 9 \\ {x}^{2} = 29 \\ x = 5.385[/tex]
as a whole number = 5
y< 3x + 12
y> 5x + 7
Answer:y< 3x + 12
y> 5x + 7
Step-by-step explanation:
What is the domain of the function graphed below?
Greater than or equal- >=
Less than or equal -<=
A)x<7
B)x<=7
C)-2<=x<=3
D) all real numbers
Answer:
A
Step-by-step explanation:
The domain of the function graphed below is set of all numbers less than 7 or x<7.
What is the domain of a function?The domain of a function f(x) is the set of points(representing independent variable x) to define the function.
In the shown graph of the function,
The given function is defined everywhere except 7 and greater than 7.
So, the domain of the function is x<7.
Hence, the domain of the function graphed below is set of all numbers less than 7 or x<7.
To get more about domain visit:
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You begin solving the equation 4−5=59 4 - 5 x = 59 by subtracting 4 4 from both sides. Which is the best choice for Step 2 2 ?
Answer:
4 – 5x = 59, x = -11
Step-by-step explanation:
The given equations is :
4 – 5x = 59
Subtracting 4 both sides,
4 – 5x -4 = 59-4
-5x = 55
Dividing both sides by -5.
x = -11
So, the answer of the given equation is -11.
Please someone help quickly!!!
Answer:
f (-1) = 3
f (0) = -7
f (2) = -7
f (5) = -7
Step-by-step explanation:
f (-1) = 3
f (0) = -7
f (2) = -7
f (5) = -7
Raj is travelling to another country.
He flies for 5 hours at an average speed of 950 km/h on one plane.
He then flies for 6 hours 30 minutes at an average speed of 830 km/h on a second plane.
What is the total distance, in km, he travelled by plane?
Answer:
9,315 km
Step-by-step explanation:
Recall that distance = rate times time.
The distance flown at 950 km/h is (950)(5) km = 4,740 km
and:
The distance flown at 830 km/h is (830)(5.5) km = 4,565 km
Then the total distane Raj traveled is (4,740 km + 4,565 km) = 9,315 km
The value of a car is deprecting at the rate of 12% Find the correct value of car when cost of car was rs 350000 last year
Answer:
The cost of the car is $ RS 308,000.
Step-by-step explanation:
Given that the value of a car is deprecting at the rate of 12%, to find the correct value of car when cost of car was $ RS350,000 last year, the following mathematical calculation must be performed:
100 - 12 = 88
88/100 = 0.88
350,000 x 0.88 = X
308,000 = X
Therefore, the cost of the car is $ RS 308,000.
simplify (5+1)2 - (12+32) /3
Answer:
-8/3
Step-by-step explanation:
(5+1)2 - (12+32) /3
(6)(2) - (44)/3
12 - 44/3
-8/3
Find the volume of the triangular prism.
Answer:
18 i think
Step-by-step explanation: