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4 years ago

In Exercises 26-28, write an equation. Then solve.

Mathematics

1 answer:

saul85 [17]4 years ago

7 0

Answer:

The temperature outside is 75.6°F

Step-by-step explanation:

We are given the following in the question:

The temperature of dry ice = - 109.3°F

Let x be the temperature outside in Fahrenheit.

It is given that the temperature of dry ice is 184.9°F less than the outside temperature.

Thus, we can write the equation:

$x - 184.9 = -109.3$

Solving, the above equation, we get:

$x - 184.9 = -109.3\\x = -109.3 + 184.9\\x = 75.6$

Thus, the temperature outside is 75.6°F

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Lin is playing hand ball and wants the ball to bounce off wall CB and land at D. Where on the wall should she aim if she's stand

ASHA 777 [7]

The triangles formed by the path of the ball and the wall in the given diagram are similar triangles.

<h3>Correct Response;</h3>

The point on the wall she should aim is; <u>A. 7.8 feet away from point B</u>

<h3 /><h3>Method by which the above value is obtained;</h3>

The possible diagram in the question is attached

Let <em>x</em> represent the distance from point <em>B</em> where the ball lands.

ΔCDE is similar to ΔABE, by Angle-Angle similarity postulate.

By trigonometric ratio, the tangent of the angles ∠CDE and ∠BAE are;

$tan(\angle CDE) = \mathbf{\dfrac{20 - x}{25}}$

$tan(\angle BAE) = \mathbf{ \dfrac{x}{16}}$

tan(∠CDE) = tan(∠BAE)

Therefore;

$\dfrac{20 - x}{25} = \dfrac{x}{16}$

Which gives;

16 × (20 - x) = 25·x

320 = 41·x

x = 320 ÷ 41 ≈ 7.8

The point on the wall she should aim if she's standing at point <em>A</em> is therefore;

<u>A, 7.8 feet away from point </u><u><em>B</em></u>

Learn more about trigonometric ratios here:

brainly.com/question/4326804

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3 years ago

Apply the rules for order of operations to simplify 2 + 3 - 4 + (5 x 4).

soldier1979 [14.2K]

Answer:

Step-by-step explanation:

PEDMAS

P - parentheses

E - exponent

D - division

M - multiplication

A - addition

S - subtraction

2 + 3 - 4 + (5 x 4)

P - parentheses.

(5 × 4) = 5 × 4 = 20

2 + 3 - 4 + 20

A - Addition and S - subtraction (left to right)

2 + 3 = 5

5 - 4 + 20

5 - 4 = 1

1 + 20 = 21

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3 years ago

How do you determine the number of zeros to annex in the product of 0.002 and 0.003?

tatyana61 [14]

Okay so, 0.005,..................

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3 years ago

The equation cosx+sinx= √3+1/2 is an identity. true or false

Mama L [17]

False - Correct on apex!!!

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3 years ago

Read 2 more answers

Which equation represents the line that passes through the point (1,5) And has a slope of -2?

posledela

The correct answer would be A.

We can immediately eliminate C and D because they have the slope listed as 2 rather than -2.

Because we're looking for the line that passes through (1, 5), we know that the y-intercept has to be 7, because from (0, 7) we get to (1, 5) when we apply the slope of -2.

Thus, the answer is A.

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3 years ago