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Artemon [7]
3 years ago
10

Davida bought a pair of earrings, each in the shape of an isosceles triangle with equal side lengths of 24 mm and a base length

of 16 mm. She used one earring to make another pair of earrings, similar in shape, with the base length equal to 11 mm.
What is the length of the equal-length sides of this new pair of earrings?
Mathematics
1 answer:
zubka84 [21]3 years ago
3 0
If the base is 11 mm the side lengths are 19 mm
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Ted has a shelf that is 75 over 4 inches wide. How many books can Ted arrange on the shelf if each book is 5 over 4 inches thick
den301095 [7]
75/4 divided by 5/4 is 15 exactly, so 15 books.
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3 years ago
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The width of a rectangle is 2x + 4 and the length of the
iren [92.7K]

Given:

Width of a rectangle = 2x+4

Length of the rectangle = 6x+12

To find:

The ratio of the width to the length.

Solution:

We need to find the ratio of the width to the length.

\text{Required Ratio}=\dfrac{\text{Width}}{\text{Length}}

Putting the given values, we get

\text{Required Ratio}=\dfrac{2x+4}{6x+12}

\text{Required Ratio}=\dfrac{2(x+2)}{6(x+2)}

\text{Required Ratio}=\dfrac{2}{6}

\text{Required Ratio}=\dfrac{1}{3}

\text{Required Ratio}=1:3

Therefore, the ratio of the width to the length is 1:3.

8 0
3 years ago
A temperature of F degrees Fahrenheit is the same as 5/9
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Answer:

113 degrees Fahrenheit is 45 degrees Celsius

Step-by-step explanation:

Hope this helps

7 0
2 years ago
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The kittens, Annie and Josie, are pushing a ball, Annie with a force magnitude of 80 N in a direction of 133 degrees, and Josie
kvv77 [185]

Answer: Then the magnitude of the force is 37.86N, and the direction is 54.35°

Step-by-step explanation:

We can write the forces as vectors.

We know that Annie pushes with a magnitude of 80N in a direction of 133° (Remember that the angles are always measured from the x-axis)

The components of this force, (Ax, Ay), are then:

Ax = 80N*cos(133°)

Ay = 80N*sin(133°)

And we know that Josie pushes with a magnitude of 95N in direction of 290°

The components of this force, (Jx, Jy), are:

Jx = 95N*cos(290°)

Jy = 95N*sin(290°)

When we add these forces, the total force acting on the ball is:

F = (80N*cos(133°) ,  80N*sin(133°)) + (95N*cos(290°), 95N*sin(290°))

F = (80N*cos(133°) + 95N*cos(290°), 80N*sin(133°) + 95N*sin(290°))

Now, the third kitten wants to do a force K, in a direction θ, such that the net force acting on the ball is zero.

Then we must have that, each component of the force of the third cat (K*cos(θ)  on the x-axis and k*sin(θ) on the y-axis), is such that:

K*cos(θ) + 80N*cos(133°) + 95N*cos(290°) = 0

k*sin(θ)  + 80N*sin(133°) + 95N*sin(290°) = 0

Now we need to solve that system for k and θ

if we simplify the equations we get:

k*cos(θ) - 22.07N = 0

k*sin(θ)  -30.76N  = 0

Now we can rewrite them as:

k*cos(θ) = 22.07N

k*sin(θ)   = 30.76N  

Now we can take the quotiet between both equations to get:

(k*sin(θ))/(k*cos(θ)) = 30.76N/22.07N

Tan(θ) = 1.394

θ = Atan(1.394) = 54.35°

Now that we know the angle, we can find the value of the magnitude k, by using one of the two equations of the system:

k*cos(54.35°) = 22.07N

k = 22.07N/cos(54.35°) = 37.86N

Then the magnitude of this force is 37.86N, and the direction is 54.35°

7 0
2 years ago
Find the measure of side XY.
Ymorist [56]

Answer:

XY = 18

Step-by-step explanation:

The figures are similar so the ratios of corresponding sides are equal, that is

\frac{XY}{BC} = \frac{YZ}{CD} , substitute values

\frac{XY}{12} = \frac{15}{10} ( cross- multiply )

10 XY = 180 ( divide both sides by 10 )

XY = 18

4 0
2 years ago
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