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3 years ago

Emily is building a square bookshelf. She wants to add a diagonal support beam to the back to strengthen it. The

Mathematics

1 answer:

Rina8888 [55]3 years ago

7 0

Answer: 4√2

The sides of a 45-45-90 triangle are in the ratio 1 : 1 : √2. In this case, the ratio is 4 : 4 : 4√2.

i hope this helped! :D

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A rope tied from a tent pole to a take in the ground forms 55 degrees angle with the ground. The pole is 3 feet from the stake,

grin007 [14]

Given:

A rope tied from a tent pole to a stake in the ground forms 55 degrees angle with the ground.

The pole is 3 feet from the stake.

To find:

The length of the rope to the nearest tenth of a foot.

Solution:

First draw a diagram according to the given information as shown below.

We know that, in a right angled triangle,

$\cos \theta = \dfrac{Base}{Hypotenuse}$

In triangle ABC,

$\cos 55^\circ=\dfrac{BC}{AC}$

$0.573576=\dfrac{3}{AC}$

$AC=\dfrac{3}{0.573576}$

$AC=5.23034$

$AC\approx 5.2$

Therefore, the length of the rope is 5.2 foot.

8 0

3 years ago

The number of social media followers of a company is modeled by the equation F(t)=32500(0.91)^t. Is the number of followers incr

zysi [14]

Answer

The number of followers is decreasing

Step-by-step explanation:

The function is decreasing over time since the base of the exponent is less than 1. The value is greater when t is 0 and decreases as t increases.

7 0

3 years ago

WHEN gEORGE AND aNTHEA WERE MARRIED 120 OF THE GUEST aNTHEA'S FAMILY OR FRIENDS. THIS WAS 60 PERCENT OF THE TOTAL number of gues

Mama L [17]

Answer:

Step-by-step explanation:

In this problem, we will use ratios

60%------->120 guests

30%-------->60guests

10%---------->20guests

Multiply by 10 to both sides to get 200

100%--------> 200 guests

hope this helps!

3 0

2 years ago

Match the estimated value of each expression with its position on the number line

allochka39001 [22]

Answer:going down d,c,e,a

Step-by-step explanation:

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3 years ago

Read 2 more answers

3. Find to the nearest thousandth: log7 80

enot [183]

Answer:

I believe 1000

Step-by-step explanation:

6 0

2 years ago