What is the y-intercept of the function?

nikitadnepr [17]

The other expression that has a value of $\frac{7}{25}$ is A) sin B.

Step-by-step explanation:

Step 1:

$sin\theta = \frac{oppositeside}{hypotenuse} ,$ $cos\theta = \frac{adjacentside}{hypotenuse} ,$ $tan \theta = \frac{opposite side}{adjacent side} .$

For angle B, the opposite side measures 7 units, the adjacent side measures 24 units and the hypotenuse measures 25 units.

$sinB= \frac{oppositeside}{hypotenuse} = \frac{7}{25} ,$ $tan B = \frac{opposite side}{adjacent side} = \frac{7}{24} ,$ $cosB = \frac{adjacentside}{hypotenuse} = \frac{24}{25}.$

Step 2:

For angle A, the opposite side measures 24 units, the adjacent side measures 7 units and the hypotenuse measures 25 units.

$tan A = \frac{opposite side}{adjacent side} = \frac{24}{25} .$

Step 3:

tan C cannot be determined as C is the right angle. The opposite side and hypotenuse of the triangle would be the same.

So sin B also has a value of $\frac{7}{25}.$ This is option A.

7 0

3 years ago

Gregory drinks 6 liters of water over 2 days. And how many days would he consume another 12 liters?

Mashutka [201]

4 days because he drinks 6 in two and 12 in 4 days.

5 0

3 years ago

The yield of strawberry plants depends on the amount of fertilizer fed to the plants. Agricultural research shows that an acre o

andre [41]

Answer:

657 pounds

Step-by-step explanation:

Given

Represent the amount of fertilizer with x and the yield with y.

So, we have:

$(x_1,y_1) = (70,630)$

$(x_2,y_2) = (100,900)$

Required:

Determine the yield (y) when fertilizer (x) is 73ft^3

Using linear interpolation, we have:

$y = y_1 + (x - x_1)\frac{(y_2 - y_1)}{(x_2 - x_1)}$

Substitute the x and y values using

$(x_1,y_1) = (70,630)$ and $(x_2,y_2) = (100,900)$ ;

We have:

$y = y_1 + (x - x_1)\frac{(y_2 - y_1)}{(x_2 - x_1)}$

$y = 630 + (x - 70)\frac{(900 - 630)}{(100 - 70)}$

$y = 630 + (x - 70)\frac{270}{30}$

$y = 630 + (x - 70)*9$

Open bracket

$y = 630 + 9x - 630$

$y = 9x - 630+630$

$y = 9x$

To solve for y when x = 73.

We simply substitute 73 for x

$y = 9x$

$y = 9 * 73$

$y = 657$

Hence, the yield for 73 cubic feet is 657 pounds

6 0

2 years ago

-1/7(14+28p)-13=4(1/2p-3)-6p

Julli [10]

Answer:

No Solution

Step-by-step explanation:

-1/7(14+28p)-13=4(1/2p-3)-6p

-2-4p-13=2p-12-6p

rearrange the question so like terms are next to each other

-2-13-4p=2p-6p-12

-15-4p=-4p-12

add 12 to both sides

-3-4p=-4p

add 4p to both sides

-3=0

No solution

7 0

2 years ago

Read 2 more answers

Two consecutive integers have a sum of 153. find the integers.

Natasha2012 [34]

X = first integer
x + 1 = second consecutive integer

x + (x + 1) = 153..combine like terms
2x + 1 = 153
2x = 153 - 1
2x = 152
x = 152/2
x = 76

x + 1 = 76 + 1 = 77

so ur numbers are : 76 and 77...and u will find that when added equal 153.

6 0

3 years ago