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3 years ago

Will give brainlesr please help im 25% blind

Mathematics

1 answer:

My name is Ann [436]3 years ago

3 0

Answer:

Option D

Step-by-step explanation:

the height of the first rectangle ( 30 ) over the height of the other rectangle ( 3 ) is 30/3 and equals 10

the length of the first rectangle ( 60 ) over the length of the second rectangle ( 6 ) is 60/6 and equals 10

the ratio of the sides of both rectangles are equivalent therefore the are similar

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10. A 50-ft ladder leans against a building so that the base of the ladder is 15 feet from the

Hunter-Best [27]

By applying the trigonometry ratio, SOH, the angle that the ladder makes with the building is calculated as: 17.5°

<em><u>Recall:</u></em>

Trigonometry ratios that can be used to solve a right triangle are: SOH CAH TOA.

SOH represents: sin ∅ = Opp/Hyp

CAH represents: cos ∅ = Adj/Hyp

TOA represents: tan ∅ = Opp/Adj

The diagram attached below depicts the problem given.

∅ = x

Opp = 15 ft

Hyp = 50 ft

Thus, applying the trigonometry ratio, SOH, we have:

sin x = 15/50

x = $sin^{-1}(15/50)$

x = 17.5°

In conclusion, by applying the trigonometry ratio, SOH, the angle that the ladder makes with the building is calculated as: 17.5°

Learn more about trigonometry ratio on:

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6 0

2 years ago

Elsa and two of her closest friends went out to dinner to celebrate Elsaś birthday. The bill for dinner totaled $74.80. If they

yuradex [85]

Answer:

$29.92

Step-by-step explanation:

Step one:

given data

The bill for dinner totaled $74.80

Then the tip is 20%

Required

The amount paid by each person after the tip was added to the cost of the dinner

Step two:'

the amount of the tip is

=20/100*74.80

= 0.2*74.80

=$14.96

The total is 14.96+74.80

=$89.76

The number of persons including the celebrant is = 3

so each person will pay

=89.76/3

=$29.92

8 0

3 years ago

Marques earned a grade of 54% on his multiple choice math final that had a total of 200 problems. How many problems on the final

seraphim [82]

Answer:

108

Step-by-step explanation:

8 0

3 years ago

2.3 divided by 1.4 please

Ket [755]

The answer is 1.642857143, rounded to three decimals it is 1.643

4 0

3 years ago

Read 2 more answers

Can anyone help me!

zhenek [66]

Answer:

$\large \text{$ \sf 2^{-64}$}$

Step-by-step explanation:

Given:

$\large \text{$ \sf (256)^{-4^{\frac{3}{2}}}$}$

This reads as: 256 to the power of "-4 to the power of 3/2".

Therefore, we need to deal with the "-4 to the power of 3/2" first.

Rewrite the 4 as 2²:

$\large \text{$ \sf \implies -(2^2)^{\frac{3}{2}}$}$

$\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\large \text{$ \sf \implies -2^{\left(2 \times \frac{3}{2}\right)}$}$

$\large \text{$ \sf \implies -2^{3}$}$

Therefore:

$\large \text{$ \sf \implies -2^3=(-2)(-2)(-2) = -8$}$

Replace "-4 to the power of 3/2" with -8 :

$\large \text{$ \sf \implies 256^{-8}$}$

Rewrite 256 as 2⁸ :

$\large \text{$ \sf \implies (2^8)^{-8}$}$

$\textsf{Again, apply exponent rule} \quad (a^b)^c=a^{bc}:$

$\large \text{$ \sf \implies 2^{(8 \times -8)}$}$

$\large \text{$ \sf \implies 2^{-64}$}$

In one complete calculation:

$\large\begin{aligned} \sf (256)^{-4^{\frac{3}{2}}} & = \sf (256)^{-(2^2)^{\frac{3}{2}}}\\& = \sf (256)^{-2^{\left(2 \times \frac{3}{2}\right)}}\\& =\sf (256)^{-2^{3}}\\& = \sf (256)^{-8}\\& \sf = (2^8)^{-8}\\& = \sf 2^{(8 \times -8)}\\& =\sf 2^{-64}\end{aligned}$

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4 0

2 years ago

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