-7x –9 > 61 -14 -12 -10 -8 -6

5 3/8 - 2 1/8 = (make sure you simplify the fraction)

Vsevolod [243]

Answer:

13/4 or 3 1/4

Step-by-step explanation:

5 3/8 = 43/8

2 1/8 = 17/8

43/8 - 17/8 = 26/8

26/8 = 13/4

4 0

3 years ago

What is the tangent ratio for angle f?

ValentinkaMS [17]

Answer:

your answer is 8/6

Step-by-step explanation:

the equation for tangent is opposite side/adjacent side but you cant use the hypotenuse which is 10 so you end up with the opposite side 8 and the adjacent side 6 so the final answer comes to 8/6

5 0

3 years ago

How do I solve a given right triangle to find Cos, Sin, and Tan. How do I solve for a missing adjacent side? (For Example: Imagi

Sphinxa [80]

The steps to find cos, sin, and tan and missing adjacent side of a given right angle triangle is explained.

Solution:

Given, a right triangle with A, B, and C.

Opposite side = 70 inches

Hypotenuse = 12 feet = 12 $\times$ 12 inches = 144 inches

Adjacent side = "x" inches.

We are not given angle, so we have to use the hypotenuse theorem

Hypotenuse theorem means square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

$\text { hypotenuse }^{2}=(\text { opposite side })^{2}+(\text { adjacent side })^{2}$

Substituting the values we get,

$\begin{array}{l}{\rightarrow 144^{2}=70^{2}+x^{2}} \\\\ {\rightarrow x^{2}=20736-4900} \\\\ {\rightarrow x^{2}=15836} \\\\ {\rightarrow x=\sqrt{15836}} \\\\ {\rightarrow x=125.841}\end{array}$

So, the adjacent side value is 125.8 inches approximately.

Hence the steps to find adjacent side is shown above

Now let us find cos, sin and tan

$\begin{aligned} \sin \theta &=\frac{\text {opposite side}}{\text {hypotenuse}} \\\\ \cos \theta &=\frac{\text {adjacent side}}{\text {hypotenuse}} \\\\ \tan \theta &=\frac{\text {opposite side}}{\text {adjacent side}} \end{aligned}$

By substituting the required values, we can find cos, sin and tan

$\begin{array}{l}{\sin \theta=\frac{70}{144}=\frac{35}{122}} \\\\ {\cos \theta=\frac{125.8}{144}=\frac{62.9}{122}} \\\\ {\tan \theta=\frac{70}{125.8}=\frac{35}{62.9}}\end{array}$

5 0

3 years ago

The ratio of dogs to cats in the neighborhood was 3 to 7. If a total of 210 dogs and cats were in the neighborhood, how many cat

qwelly [4]

Answer:

147 cats

Step-by-step explanation

There are 3 dogs/ 7 cats

3x + 7x = 210

10x = 210

210 ÷ 10 = 21

Therefore,

x = 21.

dogs would be 3x (3 x 21) = 63

cats would be 7x (7 x 21) = 147

3 0

4 years ago

Two negative integers are 5 units apart on the number line. Their product is 126. What is the sum of the two integers?

Viefleur [7K]

Answer:

23

Step-by-step explanation:

4 0

3 years ago