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3 years ago

Please help me with the questions

Mathematics

1 answer:

GREYUIT [131]3 years ago

6 0

Answer:

$\cos(B) = \frac{12}{15}$

Step-by-step explanation:

$\cos(B) = \frac{adjacent}{hypotenuse}$

$\cos(B) = \frac{12}{15}$

You might be interested in

In hopes of encouraging healthier snacks at school, Zack brought in a tray of carrot sticks and apple slices to share. The tray

Alex787 [66]

Answer:

48% were carrot sticks.

52% were apple slices.

Step-by-step explanation:

Given that:

Total number of snacks in the tray = 25

Number of carrot sticks = 12

Number of apple slices = 25 - 12 = 13

Percent of carrot sticks = $\frac{Number\ of\ carrot\ sticks}{Total\ Number}*100$

Percent of carrot sticks= $\frac{12}{25}*100$

Percent of carrot sticks = 0.48 * 100 = 48%

Percent of apple slices = $\frac{13}{25}*100$

Percent of apple slices = 52%

Hence,

48% were carrot sticks.

52% were apple slices.

6 0

3 years ago

The period 7 (in seconds) of a pendulum is given by T = 2pi√( L divided by 32) where L stands for the length (in feet) of the pe

oksano4ka [1.4K]

Answer:

128 feet

Step-by-step explanation:

$t = 2\pi \sqrt{\frac{l}{32} }$

So now we will substitute the values of T and π into the equation.

$12.56 = 2 \times 3.14 \sqrt{ \frac{l}{32} }$

$12.56 = 6.28 \sqrt{ \frac{l}{32} }$

Divide both sides by 6.28

$2 = \sqrt{ \frac{l}{32} }$

Square both sides.

$4 = \frac{l}{32}$

Multiply both sides by 32

$l = 4 \times 32 \\ l = 128 \: feets$

5 0

1 year ago

Geometry :))), please help me

amm1812

Answer:

x = -5

Step-by-step explanation:

Since these two triangles are similar, the ratio between the corresponding lengths of each triangle will be the same.

This means the ratio between one side of each triangle (e.g. AD and DC) will be the same as the ratio between a different side of each triangle (e.g. BE and BC).

So, to create an equation for the sides which contain the unknown 'x', we must first find the ratio between the two sides by using a different set of sides.

On the right side we are given 9 for AD, and 18 for DC.

9/18 = 0.5

This means that the extra length of the larger triangle from the smaller one (AD) is half the length of the smaller triangle (DC). We can use this to make an equation for x:

If AD/DC = 0.5, then BE/EC will also = 0.5

BE = x+23

EC = x+41

Therefore:

$\frac{x+23}{x+41} = 0.5$

Now we can solve by multiplying both sides by x+41 to eliminate the fraction:

$x+23=0.5(x+41)$

Now we multiply out the brackets and move the terms to different sides:

$x+23=0.5x+20.5$

$0.5x = -2.5$

$x = -5$

And if we substitute the -5 into the equations:

-5+23 = 18

-5 + 41 = 36

We will see that -5 does indeed give us the same ratio between the lengths:

18/36 = 0.5

Hope this helped!

4 0

3 years ago

Whats a quadratic equation that has the roots of 6 and negative 9

Komok [63]

Answer:

x^2-3x-54

Step-by-step explanation:

(x+6)(x-9) Setup the roots

x^2-9x+6x-54 FOIL out the terms

x^2-3x-54 Add like terms together

5 0

3 years ago

What does ! mean in a math problem?

sergey [27]

Answer:

Factorial

Step-by-step explanation:

Factorial: Denoted by the exclamation mark (!). Factorial means to multiply by decreasing positive integers. For example, 5! = 5 ∗ 4 ∗ 3 ∗ 2 ∗ 1 = 120.

Hope this helped you<33

8 0

2 years ago

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