All categories

2 years ago

Solve for x. Round to the nearest tenth.

Mathematics

1 answer:

Misha Larkins [42]2 years ago

5 0

Answer:

Step-by-step explanation:

Youre given the adjacent and hypotenuse, so you can use cosine. SOHCAHTOA

cos(37) = 48/x

x = 60.1

You might be interested in

An astronaut drops a rock into a crater on the moon. The distance, d(t), in meters, the rock travels after t seconds can be mode

jek_recluse [69]

Given:
d(t) = 0.8t²

d(5) = 0.8*5² = 0.8 * 25 = 20
d(10) = 0.8*10² = 0.8 * 100 = 80

Average speed = distance traveled / time of travel
Average speed = 20 meters / 5 seconds = 4 meters per second

Average speed = 80 meters / 10 seconds = 8 meters per second

4 mps + 8 mps = 12 mps
12 mps / 2 = 6 mps the average speed in meters per second between 5 and 10 seconds.

5 0

3 years ago

Find the angle 0 between v=12i-5j and w= -4i-3j HELP PLSSS

ruslelena [56]

Answer:

Consider the given vectors.

a=3i+2j−6k

b=4i−3j+k

Now,

a⋅b=(3i+2j−6k)(4i−3j+k)

a⋅b=12−6−6=0

Therefore,

Two vectors a and b are perpendicular.

Thus, the angle between the vectors a and b =90∘

Hence, this is the answer.

Step-by-step explanation:

I really hope this help you:)

if not I'm sorry:(

7 0

2 years ago

I'm not sure how to solve for x

Vikki [24]

Use the foil method to multiply out the expressions. Then solve for x by first combining like terms and then using inverse properties

8 0

3 years ago

The average systolic blood pressure was found to be 140 mm for people who have high responsibility jobs, specifically investment

defon

Answer:

t = -1.428

Step-by-step explanation:

Average blood pressure among people with high responsibility jobs = u = 140 mm

Number of people sampled for the study = n = 51

Average blood pressure of the sample = x = 139 mm

Standard deviation of the sample = s = 5 mm

The claim is that practicing yoga decreases the blood pressure. So we have to test that after practicing yoga, the average blood pressure will be lesser than 140. Based on this we can formulate the null and alternate hypothesis as:

Null Hypothesis: $\mu \geq 140$

Alternate Hypothesis: $\mu < 140$

Since population standard deviation is not known, we cannot use z-distribution for this test. We are given the value of sample standard deviation, so t-test will be used for this case.

Test statistic is calculated as:

$t=\frac{x-u}{\frac{s}{\sqrt{n} } }$

Using the values in this formula gives us:

$t=\frac{139-140}{\frac{5}{\sqrt{51}}}\\\\ t=-1.428$

Therefore, the value of test statistic is -1.428

4 0

2 years ago

GREYUIT [131]

People who picked up vanilla cupcakes = 80% x 53

 80% x 53 = 0.8 x 53 = 42 people (nearest whole number)

42 people picked vanilla cupcakes

Volume of a sphere = 4/3πr³

4/3πr³ = 4/3π(7)³ = 1436.8 cm³

The volume of the sphere is 1436.8 cm³

3 0

2 years ago

Read 2 more answers