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stepan [7]
2 years ago
4

Ellen's teacher wants her to draw a triangle. She starts by drawing a line 10 centimeters long and two angles, 40° and 70°. What

will the third angle measure?
A) 40°
B) 50°
C) 60°
D) 70°
please explain!!!
Mathematics
2 answers:
horrorfan [7]2 years ago
8 0
The total must be 180
40 + 70 + X = 180
the third one is = D.70
Leya [2.2K]2 years ago
7 0

Answer:

 

Ellen's teacher wants her to draw a triangle. She starts by drawing a line 10 centimeters long and two angles, 40° and 70°. What will the third angle measure?

A) 40°  wrong

B) 50°  wrong

C) 60°  wrong

D) 70° correct

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A muffin recipe calls for 3 times as much flour as sugar. Write a expression that can be used to find the amount of flour needed
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Answer:

3S - F

Step-by-step explanation:

Let Flour be represented with F

Sugar be represented with S

3S = F

3S - F = 0

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A sports company wants to package a ball with a 1.5-inch radius in sets of two. They have two options: a cylinder or a square pr
guajiro [1.7K]

Step 1

Find the Volume of the two balls

we know that

the Volume of a sphere is equal to

V=\frac{4}{3} \pi r^{3}

In this problem we have

r=1.5\ in

Substitute

V=\frac{4}{3} \pi 1.5^{3}=4.5\pi\ in^{3}

so

the volume of the two balls is equal

V=2*4.5\pi=9 \pi\ in^{3}

Step 2

Find the volume of a cylinder

we know that

The Volume of a cylinder is equal to    

V=\pi r^{2}h

In this problem we have

r=1.5\ in

h=4*r=4*1.5=6\ in    

Substitute

V=\pi (1.5^{2})(6)=13.5 \pi\ in^{3}

Step 3

Find the amount of wasted space in the cylinder

Subtract the volume of the two balls from the volume of the cylinder

13.5\pi\ in^{3}-9\pi\ in^{3}=4.5\pi\ in^{3}=14.14\ in^{3}    

Step 4

Find the volume of the square prism

The volume of the prism is equal to

V=Bh

where

B is the area of the base of the prism

h is the height of the prism

In this problem we have

B=(2*1.5)^{2}=9\ in^{2} -----> the base is equal to the diameter    

h=4*r=4*1.5=6\ in  

Substitute

V=9*6=54\ in^{3}

Step 5

Find the amount of wasted space in the prism

Subtract the volume of the two balls from the volume of the prism

54\ in^{3}-9\pi\ in^{3}=25.73\ in^{3}  

Step 6

Compare the amount of wasted space

the amount of wasted space in the cylinder is 14.14\ in^{3}

the amount of wasted space in the prism is  25.73\ in^{3}

Find the difference

25.73\ in^{3}-14.14\ in^{3}=11.59\ in^{3}=11.6\ in^{3}

The package that has the least amount of wasted space is the cylinder

therefore

<u>the answer is the option</u>

the cylinder because it has approximately 11.6 in.3 less wasted space than the prism

5 0
2 years ago
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A semicircular flower bed has a diameter of 3 metres. What is the area of the flower bed?
Yuri [45]

The area of circle is

A_{\text{circle}}=\pi r^2.

Then the area of semicircular region is

A_{\text{semicircular region}}=\dfrac{1}{2} \pi r^2.

If r=3 m, you have

A_{\text{semicircular region}}=\dfrac{1}{2} \pi \cdot 3^2=\dfrac{9\pi}{2}=4.5\pi \approx 14.13 sq. m.

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3 0
2 years ago
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Louise begins factoring the polynomial, which has four terms.
ad-work [718]

Louise wants to factorize completely the given polynomial 4x^{3}+12x^{2}+5x+15

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Taking 4x^{2} common from first and second terms of the given expression and taking 5 common from the third and fourth terms.

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Taking (x+3) common from the given expression,

==(4x^{2}+5)(x+3) is the completely factored form.

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2 years ago
Diddy Corp. Stock has a beta of 1.2, the current risk-free rate is 6 percent, and the expected return on the market is 14.50 per
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Answer: 16.2%

Step-by-step explanation:

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= 6% + 10.2%

= 16.2%

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