Answer: B
Step-by-step explanation:
To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides. If you begin with the smaller figure, your scale factor will be less than one. If you begin with the larger figure, your scale factor will be greater than one. The ratio of any two corresponding lengths in two similar. geometric figures. Corresponding Angles: Angles in matching locations of two shapes
What is the total surface of the pyramid in square centimeters? A: 17.5 B:70 C:140 D:35
Answer:
C:140
Step-by-step explanation:
because 7 x 5 in the tiangle.
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35models of Make A and 35 models of Make B. The mean braking distance for Make A is 41feet. Assume the population standard deviation is 4.6 feet.The mean braking distance for Make B is 45feet. Assume the population standard deviation is 4.3 feet.At alphaequals0.10,can the engineer support the claim that the mean braking distances are different for the two makes of automobiles
Answer:
There is sufficient evidence to support the claim.
Step-by-step explanation:
Given
[tex]\alpha = 0.10[/tex]
Make A
[tex]\bar x_1 = 41[/tex]
[tex]\sigma_1= 4.6[/tex]
[tex]n = 35[/tex]
Make B
[tex]\bar x_2 = 45[/tex]
[tex]\sigma_2 = 4.3[/tex]
[tex]n = 35[/tex]
First, we state the null and alternate hypothesis
[tex]H_0 : \mu_1 = \mu_2[/tex]
[tex]H_1 : \mu_1 \ne \mu_2[/tex]
Next, calculate test statistic:
[tex]z = \frac{(\bar x_1 - \bar x_2)-(\mu_1 - \mu_2)}{\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}}[/tex]
[tex]z = \frac{(41- 45)-0}{\sqrt{\frac{4.6^2}{35}+\frac{4.3^2}{35}}}[/tex]
[tex]z = \frac{-4}{\sqrt{0.6046+0.5283}}[/tex]
[tex]z = \frac{-4}{\sqrt{1.1329}}[/tex]
[tex]z = \frac{-4}{1.0643}[/tex]
[tex]z = -3.7583[/tex]
The critical value at [tex]\alpha = 0.10[/tex] is: [tex]\±1.282[/tex]
[tex]-3.7583 < -1.282[/tex]
So, we reject [tex]H_0[/tex]
This implies that; there is sufficient evidence to support the claim.
Can someone please help meeee I’m desperateeee
Answer:
Step-by-step explanation:
1)(-3x+10)(50-x)=180
-4x+60=180
-4x=120
x=-30
2)6x+2+2x=90
8x=88
x=11
larger angle: 68°
3) a=3x°
4)(7x-5)=-2x+22
9x=27
x=3
DBE=16°
5)(x-39)=2x-59)
x=20
Combine like terms
x + 10x-30= -8
Answer: x=2
Isolate the variable by dividing each side by the factors that don't contain variables.
Figure A is a scale image of Figure B. Figure A: 7.2 , 4. Figure B: 3 , x. What is the value of x
Answer: 5.4
Step-by-step explanation:
Answer:
5.2
Step-by-step explanation:
A rock is thrown upward from the top of a high cliff overlooking the ocean at a speed of 96 feet per second . The rock's height above ocean can be modeled by the equation H(t) = - 16t ^ 2 + 96t + 112 . How long will it take seconds for the rock to hit the ocean? Do not include units in your answer.
Answer:
7
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
In this question:
The height of the rock after t seconds is given by the following equation:
[tex]H(t) = -16t^2 + 96t + 112[/tex]
How long will it take in seconds for the rock to hit the ocean?
This is t for which:
[tex]H(t) = 0[/tex]
So
[tex]-16t^2 + 96t + 112 = 0[/tex]
Simplifying by -16
[tex]t^2 - 6t - 7 = 0[/tex]
So a quadratic equation with [tex]a = 1, b = -6, c = -7[/tex]
[tex]\Delta = b^{2} - 4ac = (-6)^2 - 4*1*(-7) = 36 + 28 = 64[/tex]
[tex]t_{1} = \frac{-(-6) + \sqrt{64}}{2*1} = 7[/tex]
[tex]t_{2} = \frac{-(-6) - \sqrt{64}}{2*1} = -1[/tex]
Since time is a positive measure, it will take 6 seconds for the rock to hit the ocean, and the answer is 7.
Stuck on this problem, can't find 3x
Answer:
x equals 10, angle measure is 30°
Step-by-step explanation:
By using the Vertical Angles Theorem which states that opposite angles formed by 2 intersecting lines are congruent we can find that the measure of the angle with 3x is equal to the measure of it's opposite angle or 30°. Using this we can make an equation that can find us our answer.
3x = 30
Divide both sides by 3
3x/3 = 30/3
x = 10
What is the percentage of data between 90 and 140?
Answer:
50%
Step-by-step explanation:
tell what place the digit is in for the following number 14,632.708
4
0
7
Answer:
4 is in the one thousands place. The 0 is in the hundredths place. The 7 is in the tenths place.
True or False: x is the same/equal to 1x
Answer:
Yes
Step-by-step explanation:
Because you're multiplying by 1 so it stays the same value
HELP HELP HELP!!! NUMBER 3 PLEASE!!!
Answer:
see the attachment, answers there
Kylee bought a backpack at Tilly's for $32. The same backpack is on sale today for $24. What is the percent
of change? Round your answer to the nearest tenth.
Answer:
25
Step-by-step explanation:
Solve for n. 24 = 3(n-5)
Answer:
Step-by-step explanation:
Given
24 = 3(n - 5)
24/3 = n - 5
n- 5 = 8
n = 8+5
n = 13
hope it helps :)
Answer:
n = 13
Step-by-step explanation:
8=n-5
-n=-5-8
-n=-13
n=13
A container has 3 blue marbles, 2 red marbles, and 4 yellow marbles. You are going to pull out one marble, record its color, put it back in the container and draw another marble. What is the probability of pulling out a yellow marble, followed by a blue marble?
Which of the following shapes have an area of 48 square feet? Select all that apply.
A scalene triangle with a base of 8 feet and a height of 6 feet.
A right triangle with a base of 9 feet and a height of 10 2/3 feet.
A rectangle with a base of 19.2 feet and a height of 2.5 feet.
A parallelogram with a base of 16 feet and a height of 3 feet.
Maurice Luken deposited $3,021 in a savings account that paid 5.5 percent interest
compounded daily. How much interest did he earn in 31 days?
9514 1404 393
Answer:
$14.14
Step-by-step explanation:
The amount of interest earned is ...
I = P((1 +r/365)^n -1) . . . . interest on principal P at annual rate r compounded daily for n days
I = 3021(1 +0.055/365)^31 -1) ≈ 14.14
$14.14 in interest is earned in 31 days.
Sofie makes and sells scarves. Her profit depends on what price she charges for a scarf.
She writes the expression (−5)(50−2) to represent her profit based on the price per scarf,
Use the drop-down menus to complete the statements about Sofie's profit.
Answer:
The first part is 5
The maximum it can be is 200
Step-by-step explanation:
Because I said So
Sofie will not make a profit if she sells her scarves for $5 or less.
The maximum profit Sofie can make is $200.
What is a parabola?A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.
According to the given problem,
y = (x - 5)(50 - 2x)
⇒ y + (-(x - 5)(50 - 2x) = (x - 5)(50 - 2x) + (-(x - 5)(50 - 2x)
⇒ y - (x - 5)(50 - 2x) = (x - 5)(50 - 2x) - (x - 5)(50 - 2x)
⇒ y - (x - 5)(-2x + 50) = 0
⇒ y - (-x *2x + x*50 + 5*2x -5*50) = 0
⇒ y - ( -2x² + 50x + 10x - 250) = 0
⇒ y - ( - 2x² + 60x - 250 ) = 0
⇒ y + 2x² - 60x + 250 = 0
⇒ 2x² -60x + y + 250 = 0
⇒ ( 2x² - 60x ) + y + 250 = 0
⇒ 2 ( x² - [tex]\frac{60}{2}[/tex]x) + y + 250 = 0
⇒ 2 ( x² - [tex]\frac{2^{2} *3*5}{2}[/tex]x) + y + 250 = 0
⇒ 2 ( x² - 30x ) + y + 250 = 0
⇒ 2( x² + 2(-15)x + 225 -225 +y + 250 = 0
⇒ 2( x - 15 )² + 2(-225) + y + 250 = 0
⇒ 2( x - 15 )² + y = -2(-225) - 250
⇒ 2( x - 15 )² + y = 450 - 250
⇒ 2( x - 15 )² + y = 200
⇒ y = -2( x - 15 )² + 200
This equation is in the form of y = a(x - h)² + k where the vertex of the parabola is (h , k).
Therefore the vertex of the parabola is at (15 , 200)
Hence, we can conclude that Sofie will maximum profit of $200 if she sells a scarf at 15$ and will make the least profit if she sells the scarf at $5 or less.
Learn more about parabola here:
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For each ordered pair determine if it is a solution to 7x+5y=9
(-4,-3)
(-3,6)
(5,0)
(2,-1)
A drone is flying at kilometers per hour at a constant altitude of km above a straight road. The drone pilot uses radar to determine that an oncoming motorcycle is at a distance of exactly kilometers from the drone, and that this distance is decreasing at kph. Find the speed of the motorcycle. Note: Round to the nearest hundredth. Hint: At the end, remember to consider that the drone is moving towards the motorcycle at kph. Speed cannot be negative. Note: Round to the nearest tenth.
Answer:
Hello your question is poorly written attached below is the complete question
answer : 166.41 kph
Step-by-step explanation:
Given data :
Drone speed = 180 kph
Altitude of drone = 1 km
distance of motorcycle from drone = 2 km
distance of motorcycle decreases at 200 kph
calculate the speed in kph of the motorcycle
attached below is a detailed solution of the problem
HELP PLSSSSS I BEG YOUUUUUUUUUUUUUUUUU
Answer:
just shade in the same thing
just shade in the same thing
What is the value of 8+(7+1)^2÷4(1/2)^4
Will Mark Brainliest
^=exponents
Answer:
264
Step-by-step explanation:
8+(7+1)^2 / 4(1/2)^4
8+ 8^2 / 4(1/2)^4
8+64/4(1/16)
8+64 / 1/4
8 + (64*4)
8+256
264
What is the perimeter of the shape?
40 feet
43 feet
51 feet
67 feet
Answer:
40 feet?
Step-by-step explanation:
11 ft + 3 ft + 4 ft + 6 ft + 3 ft + 3 ft + 4 ft + 6 ft = 40
A researcher found that 55% of families in the United States have one child under the age of 21, 22% have two children under the age of 21, 15% have three children under the age of 21, 5% have 4 children under the age of 21and 3% have 5 or more children under the age of 21. If a family is selected at random, what is the probability the family has at least 3 children under the age of 21? (Express your answer as a percent, Please include the % symbol.)
Answer:
23% probability the family has at least 3 children under the age of 21.
Step-by-step explanation:
If a family is selected at random, what is the probability the family has at least 3 children under the age of 21?
15% have three children under the age of 21
5% have 4 children under the age of 21
3% have 5 or more children under the age of 21.
So:
15% + 5% + 3% = 23%
23% probability the family has at least 3 children under the age of 21.
The number line is 0 to 1 true or false 2/8 is close to 0
Answer:
True
Step-by-step explanation:
from the scale 0-1, 2/8 is closer to 0 because you round 2 down to 0, which gives you 0.
In ΔGHI, i = 64 inches, g = 91 inches and ∠H=134°. Find the length of h, to the nearest inch.
Answer:
143
Step-by-step explanation:
delta math
The length of h, to the nearest inch. is 57.4 inch.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
Here, given that,
In ΔGHI, i = 64 inches, g = 91 inches and ∠H=134°
Now. we know that,
a sinA =b sinB =c sinC
We get,
length of h = 57.4 inch.
hence, The length of h, to the nearest inch. is 57.4 inch.
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PLEASE HELP! I NEED HELP Use synthetic division!
what is the simplified expression of 6h +(-7.1d)-15+4d-3.4h
Answer:
6h+ (-7.1d) -15+4d-3.4h
Step-by-step explanation:
Question 6
If a truck can drive 24,4 miles in 1 gallon, how many miles would I be able to drive with a filled 30 gallon tank?
Answer: 732 mi
Step-by-step explanation:
Assuming you meant 24.4
The square pyramid has a base area of 144 square centimeters and a height of 12 centimeters. Find the volume.
Step-by-step explanation:
the answer is 576 cubic centimetre.
Answer:
Its 576 cubic centimeters
Step-by-step explanation:
Definition the value of a number regardless of its sign Definition