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3 years ago

Pls help question is on picture

Mathematics

1 answer:

brilliants [131]3 years ago

5 0

Answer:

9/15 = 3/5 (simplified)

Step-by-step explanation:

In a right triangle, the cosine is the ratio of the adjacent side to the hypotenuse:

$\cos\theta = \frac{\text{adjacent}}{\text{hypotenuse}}$

The adjacent side is the side that makes up the angle but is not the hypotenuse.

I'm assuming the answer box should ask for cos(theta) rather than cos(x).

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A recipe calls for 1/3 cup of sugar for every 1/2 cup of flour. In cups, how much sugar is needed per one cup of flour?

Gelneren [198K]

Answer:

1 equals two of 1/2 which means you get the equation 1/3 x 2 for the answer

4 0

3 years ago

-12 = -5(x - 3) ......

Gnoma [55]

Answer:

x = 27/5

Step-by-step explanation:

Step 1: Write equation

-12 = -5(x - 3)

Step 2: Solve for x

Distribute -5: -12 = -5x + 15
Subtract 15 on both sides: -27 = -5x
Divide both sides by -5: x = 27/5

Step 3: Check

Plug in x to verify it's a solution.

-12 = -5(27/5 - 3)

-12 = -5(12/5)

-12 = -12

4 0

3 years ago

Read 2 more answers

By your cell phone contract, you pay a monthly fee plus some money for each minute you use the phone during the month. In one mo

Andrei [34K]

Answer:

(a) $y = 0.025x+15$

(b) 18.5 minutes

Step-by-step explanation:

Given

$290\ minutes = \$22.25$

$360\ minutes = \$24.00$

Solving (a): Determine the linear equation

First, we need to calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (290,22.25)$

$(x_2,y_2) = (360,24.00)$

So, we have:

$m = \frac{24.00 - 22.25}{360 - 290}$

$m = \frac{1.75}{70}$

Multiply through by 100

$m = \frac{1.75 * 100}{70 * 100}$

$m = \frac{175}{7000}$

Next, is to calculate the equation of the line using:

$y - y_1 = m(x - x_1)$

Recall that:

$(x_1,y_1) = (290,22.25)$

$m = \frac{175}{7000}$

$y - 22.25 = \frac{175}{7000}(x - 290)$

$y - 22.25 = \frac{175x}{7000} - \frac{175}{7000} * 290$

$y - 22.25 = \frac{175x}{7000} - \frac{50750}{7000}$

Add 22.25 to both sides

$y = \frac{175x}{7000} - \frac{5075}{700} + 22.25$

$y = \frac{175x}{7000} + \frac{-5075 + 15575}{700}$

$y = \frac{175x}{7000} + \frac{10500}{700}$

$y = 0.025x+15$

(b) Solve for y when x = 140

$y = 0.025x+15$

Substitute 140 for x

$y = 0.025 * 140 + 15$

$y = 3.5 + 15$

$y = 18.5$

(c) Solve for x when y = 26.25

$y = 0.025x+15$

Substitute 26.25 for y

$26.25 = 0.025x + 15$

Solve for 0.025x

$0.025x = 26.26 - 15$

$0.025x = 11.26$

Solve for x

$x = 11.26/0.025$

$x = 450.4\ minutes$

3 0

3 years ago

EXERCISE 9.4 Simplify, if possible: 1. 2 x 2

iren [92.7K]

2 × 2 = 4

●● + ●● = ●●●●

●● × ●● = ●●●●

4 0

3 years ago

Quintin set a goal to do 15 push-ups each day. By how much would he exceed his goal if he did 17 push-ups in a day?

igor_vitrenko [27]

17-15 =2

he would exceed by 2 a day

8 0

3 years ago