Answer:
B) 4 miles
Step-by-step explanation:
the big triangle CAB and small triangle CED are simular (given)
this means the ratio between their corresponding sides will be the same.
find corresponding sides with alternate interior angle theorem
m CDE= m CBA
vertical angles theorem
m ACB = m DCE
therefore, AC corresponds to CE
find ratio of sides
7 miles = 36960 feet
36960/ corresponding side 21 ft
36960/ 21= 1780 ft
multiply by 1780 to get from small side to big side
small side CE = 12 ft
12*1780
=21120 ft =AC (in ft)
convert to miles (ft to miles is ft/5280)
21120/5280
=4 miles
hope this helps
If 12 is the greatest common factor of y and 36, how many possible values for y are in between 20 and 80 ?
Answer: 3
Step-by-step explanation: I don’t have an explanation but I got the same question on a quiz and 3 was the correct answer.
the possible values for y are in between 20 and 80 will be 3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
If 12 is the greatest common factor of y and 36.
The value of y will be a multiple of 12 and greater than 36.
Then the numbers will be
12 x 4 = 48
12 x 5 = 60
12 x 6 = 72
Then the possible values for y are in between 20 and 80 will be 3.
More about the Algebra link is given below.
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simplify.
[tex] {y }^{ - 3} [/tex]
Options:
3/y
-1/y^3
-3y
1/y^3
Answer:
Rewrite the expression using the negative exponent rule [text]{b}^{-n } = 1/bn
Step-by-step explanation:
1/y^3
What is the equation of a straight line which passes through (-1,4) and parallel to the line 3x+27-7-0?*
Step-by-step explanation:
3x+27-7-0=3x+20
gradient=3
y=mx+c
4=3(-1)+c
4+3=7
c=7
y=3x+7
pleasee help asapp:)
They gave you the length of the two sides of the triangular part. Calculate the circumference of the semi circle on top.
Circumference of a semi circle is 1/2 x 2 x radius x PI
The radius is given as 3 ft.
Circumference = 1/2 x 2 x 3 x 3.14 = 9.42ft
Perimeter is the length of the circumference of the semi circle plus the side lengths of the triangle:
5 + 5 + 9.42 = 19.42 feet
Answer: 19.42 feet
Answer:
10 + 3[tex]\pi[/tex]
19.42
Step-by-step explanation:
Someone plz help me on this one
Answer:
76
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan ? = opp side/ adj side
tan ? = 40 / 10
tan ? = 4
Taking the inverse of each side
tan ^ -1 (tan ?) = tan ^-1(4)
? =75.96375653
To the nearest degree
? = 76
The robotics team purchased 3 androids for the purpose of programming. Each of the robots was $398, which included tax. If the tax rate is 8%, what is the TOTAL TAX to be paid?
Answer:
$95.52
Step-by-step explanation:
Number of robots = 3
Cost of each robots = $398
Tax rate = 8%
Amount of tax of each robots = 8% of $398
= 8/100 × $398
= 0.08 × $398
= $31.84
TOTAL TAX to be paid = Amount of tax of each robots × Number of robots
= $31.84 × 3
= $95.52
TOTAL TAX to be paid = $95.52
Which of the following are true statements about the expression 12^5?
Check all that apply.
A. 12 is the base.
B. 12 is the exponent and tells us how many times we should
multiply 5 by itself.
C. 5 is the exponent and tells us how many times we should multiply 12 by itself.
D. 5 is the base.
Write as an equation: a triangle has two equal sides and a third side that is 15cm long. How long is each of the equal sides if the perimeter is 50?
Answer:
Step-by-step explanation:
X+x+15=50
What is Index Law 2?
please give definition
LAW 2: The second law of indices tells us that when dividing a number with an exponent by the same number with an exponent, we have to subtract the powers. In algebraic form, this rule is as follows . The a represents the number that is divided by itself and m and n represent the powers.
Answer:
The second law of indices tells us that when dividing a number with an exponent by the same number with an exponent, we have to subtract the powers. The a represents the number that is divided by itself and m and n represent the powers. Here is an example for this rule.
I am getting an amazing offer of 50% +50% discount. How much i have to pay for the shoes priced Rs. 6500? Explain Your Answer.
Answer:
1625
6500 * .5 * .5 =
6500 * .25 = 1625
Step-by-step explanation:
One vertex of a polygon is located at (3, –2). After a rotation, the vertex is located at (2, 3). Which transformations could have taken place? Select two options. R0, 90° R0, 180° R0, 270° R0, –90° R0, –270°
Answer:
R0, 90°
R0, –270
Step-by-step explanation:
Answer:
A, E
Step-by-step explanation:
Which of the following is an example of rigid transformations?
A. Moving the glass from one place to other
B. Cutting a piece of bread
C. Squeezing the cherry
D. All of the choices
Answer:
Moving the glass from one place to other is rigid transformation.
Step-by-step explanation:
The rigid transformation includes rotation, translation, reflection or their combination.
So, Moving the glass from one place to other place is translation. It is example of rigid transformation.
Now, cutting a piece of bread is not rotation or translation or reflection. So, it is NOT rigid transformation.
Squeezing the cherry is not rotation or translation or reflection. So, it is too NOT rigid transformation.
If the value of a is 8 in f(x)=ax^2, what does the graph look like?
Step-by-step explanation:
the answer is in the image above
please help!! 15 points! I need 5 and 9 answered
Answer:
B: Subtraction property of equality
the inverse of f(x) is a function true or false
Can someone help me with this please
Answer:
.574
Step-by-step explanation:
This can be inputted in a calculator to achieve .57357643
To three decimal places that is .574
here are the first five terms of a quadratic sequence (1 8, 21, 40, 65). the nth term of this sequence can be written in the form (an2 + bn). where a and b are integers. work out the value of a and the value of b
Answer:
a=3 and b=-2
Step-by-step explanation:
We are given that five terms of a quadratic sequence are
1 8, 21, 40, 65.
The nth term of this sequence
=[tex]an^2+bn[/tex]
We have to find the value of a and b where a and b are integers.
For n=1
[tex]a+b=1[/tex] ......(1)
For n=2
[tex](2)^2a+2b=8[/tex]
[tex]4a+2b=8[/tex]
[tex]2a+b=4[/tex] .....(2)
Subtract equation (1) from (2) we get
[tex]2a-a=4-1=3[/tex]
[tex]a=3[/tex]
Using the value of a=3 in equation (1)
[tex]3+b=1[/tex]
[tex]b=1-3=-2[/tex]
Hence, the value of
a=3 and b=-2
A rectangular park of length 60 m breadth 50 m encloses w volleyball court of length 18 m and breadth 10 m. Find the area of the park excluding the court at the rate of Rs 110 per square meter.
Given
A rectangular park of length 60 m breadth 50 m encloses with volleyball court of length 18 m and breadth 10 m.
To find:
The area of the park excluding the court at the rate of Rs 110 per square meter.
Solution:
Area of a rectangle is:
[tex]Area=length \times breadth[/tex]
Area of whole park is:
[tex]A_1=60 \times 50[/tex]
[tex]A_1=3000[/tex]
Area of volleyball court is:
[tex]A_2=18 \times 10[/tex]
[tex]A_2=180[/tex]
Now, the area of the park excluding the court is:
[tex]A=A_1-A_2[/tex]
[tex]A=3000-180[/tex]
[tex]A=2820[/tex]
Therefore, the area of the park excluding the court is 2820 square meter.
S is the centroid of the triangle. Find IT if ST =9
Answer:
27
Step-by-step explanation:
The centroid divide a median in two parts, with ratio 1/3 and 2/3.
In particular the part between the centroid and the point where the median touches the side is 1/3 of the median.
We can build this proportion:
ST : 1/3 = IT : 3/3
9 : 1/3 = IT : 1
IT = 9 * 3 = 27
The number of booker borrowed from a library each week follows a normal distribution. When sample is taken for several weeks, the mean is found to be 190 and the standard deviation is 30
Answer:
2.5%
Step-by-step explanation:
Given :
Mean, μ = 190
Standard deviation, σ = 30
Probability that more than 250 books are borrowed ;
x = 250
P(Z > z)
Z = (x - μ) / σ
P[Z > (x - μ) / σ] = P[Z > (250 - 190) / 30]
P(Z > z) = P(Z > 2)
P(Z > 2) = 1 - P(Z < 2) = 1 - 0.97725
P(Z > 2) = 1 - P(Z < 2) = 0.02275
(0.02275 * 100)% = 2.275%
2.5% is closest to 2.275%
A delivery truck driver work shift is between 4 - 6 hours (240 - 360 minutes). It takes
the driver 45 minutes to load the truck and an average of 15 minutes per stop to deliver the packages. How many stops on average can he deliver packages during his shift 2
(Plz help)
Answer:
You are good on it
Step-by-step explanation:
Woplor
anyone know the answer?
Answer:
26.97
find side km using cos,after you find km you can then use tan to find the angle
hope this helps
Instructions: Find the missing side. Round your answer to the nearest
tenth.
49
х
66°
X
[tex]\sin(66) = \frac{49}{x} \\ 0.913 = \frac{49}{x} \\ x = 53.6 \\ x = 54[/tex]
The missing side is 53.6 units for the given right triangle.
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 right triangle is given in the question, as shown.
The ratio of the length of the side opposite the angle to the length of the hypotenuse of the triangle. The sine function is denoted by the symbol "sin" and is defined as follows:
sin(θ) = opposite / hypotenuse
Here, θ = 66°
Using the sine ratio in the given triangle, we get
sin 66° = perdenicular/hypertanuas
Substitute the known values in the above ratio,
sin 66° = 49/x
x = 49/sin 66°
x = 53.63717
Rounded to the nearest tenth,
x ≈ 53.6
Thus, the missing side is 53.6 units for the given right triangle.
Learn more about the right triangle here:
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which expression is equivalent to 13-(-18)
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{13 - (-18)}[/tex]
[tex]\huge\textsf{= 13 + 18}[/tex]
[tex]\huge\textsf{= \bf 31}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your answer is most likely: \textsf{31}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\text{Amphitrite1040:)}[/tex]
Answer:
[tex] \displaystyle 31[/tex]
Step-by-step explanation:
we want to simplify the following expression:
[tex] \displaystyle 13 - ( - 18)[/tex]
remove parentheses and change its sign because we know that two negatives make positive Thus:
[tex] \displaystyle 13 + 18[/tex]
finally simplify addition:
[tex] \displaystyle\bf \fbox{31}[/tex]
hence,
[tex] \displaystyle 13 - ( - 18) = \boxed{31}[/tex]
see screenshot below
Answer:
4x^2 +2x +1
Step-by-step explanation:
(4x^3 -14x^2 -7x-4) / (x-4)
Using synthetic division
Bringing down the 4 and multiplying and adding
4 4 -14 -7 -4
↓ 16 8 4
-------------------------------
4 2 1 0
The quotient is 4x^2 +2x +1 and the remainder is 0
Answer:
[tex] {4x}^{2} + 2x + 1[/tex]
Step-by-step explanation:
the most handy way to solve the question is Polynomial long division which is done below:
[tex] \begin{array}{ccc} \qquad {4x}^{2} + 2x + 1 \\ \hline x - 4 \Bigg)4 {x}^{3} - {14x}^{2} - 7x - 4 \\ - {4x}^{3} + 16 {x}^{2} \\ \hline \qquad \qquad \qquad {2x}^{2} - 7x - 4 \\ \qquad \qquad- {2x}^{2} + 8x \\ \hline \qquad \qquad \qquad \qquad \qquad x - 4 \\ \qquad \qquad \qquad \qquad \qquad - x + 4 \\ \hline\qquad \qquad \qquad \qquad \qquad0 \end{array}[/tex]
since our remainder is 0 we'll put the answer in P(x) form only
note: please see the answer in the brainly app for a better view
Tony runs 100 meters in 10.36 seconds and neal runs the same distance in 10.26 seconds who is the faster runner?
Need helppppp I’m stuckkkk
Answer:
b) 94
Step-by-step explanation:
The Total Degree of a Triangle is 180 degrees. Knowing this, set up an equation.
68+26+x=180.
x is the complementary angle of the "?" angle.
Solve the equation.
94+x=180
x=86
Then Subtract 86 from 180 to find "?"
180-86=94
I hope this helps!
Answer:
94;b
Step-by-step explanation:
68+26=94. 180-94=86. 180-86=94.
please help me solve the equations, I re-wrote the question under each of them so you can read it better. Ty
Answer:
45:13/36
46:86/63
47:19/42
48:9/10
49:1/12
Find the slope.
Directions: For problems 1 through 3, graph the line by using the given X values and find its slope.
Answer:
Answer is in the picture.
Question 2 of 10
The function Fx) = log 0.5 x is decreasing. true or false
Answer:
True
Step-by-step explanation:
log0.5= -1.6990
so,anwer is negative than the statement is true