Someone please help! You have to use the ambiguous case.

Help help help help help help

LUCKY_DIMON [66]

Answer:

d

Step-by-step explanation:

4 0

2 years ago

A quiz has thirty questions whose answers can only be correct or incorrect.

satela [25.4K]

Using a system of equations, it is found that Gina got 22 questions correct in the test.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable x: Number of questions she got correct.

Variable y: Number of questions she got wrong.

The test has 30 questions, hence:

x + y = 30 -> y = 30 - x.

She scored 152 points, hence, considering the value of each question:

8x - 3y = 152.

Since y = 30 - x:

8x - 3(30 - x) = 152

11x = 242

x = 242/11

x = 22

Gina got 22 questions correct in the test.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

4 0

2 years ago

Solve for w. -22w-5)+5w-5(w+4) Simplify your answer as much as possible.

Anna [14]

Answer: −22w−25

Step-by-step explanation: Distribute:

=−22w+−5+5w+(−5)(w)+(−5)(4)

=−22w+−5+5w+−5w+−20

Combine Like Terms:

=−22w+−5+5w+−5w+−20

=(−22w+5w+−5w)+(−5+−20)

=−22w+−25

8 0

3 years ago

A manufacturer of new light bulbs claims the average lifetime of its long-life bulb is more than 4000 hours. To test this claim,

natka813 [3]

Answer: C. 12.5

Step-by-step explanation:

Given : A manufacturer of new light bulbs claims the average lifetime of its long-life bulb is more than 4000 hours.

Population mean : $\mu=4000$

Sample size : n= 100

Sample mean : $\overline[x}=4500$

Standard deviation: $s=400$

The value of test-statistic is given by :-

$z=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}\\\\\Rightarrow\ z=\dfrac{4500-4000}{\dfrac{400}{\sqrt{100}}}\\\\\Rightarrow\ z= 12.5$

Hence, the value of the test statistic for this problem is 12.5.

5 0

3 years ago

You're standing on the ground 7777 meters away from the bottom of a tall tower. The tower itself is 346346 meters tall. What is

lys-0071 [83]

Answer:

88.7°

Step-by-step explanation:

First, visualize. Assuming that the tower is at a perfectly 90° angle to the ground, you have a right triangle. We will call this triangle ΔABC where A is where you are, B is the top of the tower, and C is the base of the tower. Now we know the following:

∠A = ?

∠B = ?

∠C = 90

a = 346346

b = 7777

c = ?

Note: Triangles are labeled with three pairs of letters: a, b and c and A, B and C. The lower case letters, a, b and c represent the sides, and the upper case letters are the angles that are directly opposite of those sides. (see attached reference)

c is easy, c is the hypotenuse, so you can use the following equation to find the hypotenuse:

a² + b² = c²

Rearranged:

c = ± $\sqrt{a^{2} +b^{2} }$