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guajiro [1.7K]
3 years ago
9

Write a slope-intercept equation for a line that passes through ( - (4,5) and (4, - 11).

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
6 0

Answer and work down below

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In right triangle DEF, ∠E is a right angle, m∠D=26∘, and DF=4.5.
jok3333 [9.3K]

Answer:

The measurement of EF is 1.98 units

Step-by-step explanation:

In Δ DEF

∵ m∠E = 90°

∴ FD is the hypotenuse of the triangle

∵ m∠D = 26°

∵ EF is opposite to angle D

- We can use the sine ratio to find it

∵ sin D = \frac{EF}{FD} ⇒ (opposite side / hypotenuse)

∵ FD = 4.5 units

∴ sin(26) = \frac{EF}{4.5}

- Multiply both sides by 4.5

∴ 4.5 sin(26) = EF

∵ sin 26° ≈ 0.44

∴ 4.5(0.44) = EF

∴ 1.98 = EF

The measurement of EF is 1.98 units

3 0
3 years ago
A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.
Mariulka [41]

ANSWER

672cm²

EXPLANATION

The area of a regular hexagon is given by the formula,

Area =  \frac{1}{2} ap

where a=14cm is the apothem and p=96cm is the perimeter of the regular hexagon.

We substitute the values into the formula,

Area =  \frac{1}{2}  \times 14 \times 96 {cm}^{2}

Area =672 {cm}^{2}

Therefore the approximate area of the hexagon is 672cm²

8 0
3 years ago
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What is 142% of 469?
arsen [322]
\begin{array}{ccc}100\%&-&469\\\\142\%&-&x\end{array}\\\\\\cross\ multiply\\\\100x=142\times469\\\\100x=66598\ \ \ \ |divide\ both\ sides\ by\ 100\\\\\boxed{x=665.98}
8 0
2 years ago
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Below are the steps for solving an inequality. What is the final step required to solve the inequality?
Klio2033 [76]

Answer:

Step-by-step explanation:

Final step: Check your answer.

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2 years ago
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PLEASE HELP WITH THESE QUESTIONS! WILL GIVE 100 POINTS!
Oduvanchick [21]

Answer:

1. 1/6 2. 80

Step-by-step explanation:

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3 years ago
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