All categories

2 years ago

Help 20 points!

Mathematics

2 answers:

Sergio [31]2 years ago

5 0

Answer:

remember its a right angle so 90

Step-by-step explanation:

Ierofanga [76]2 years ago

4 0

Answer:

$x\approx5.8$

Step-by-step explanation:

$tan\theta=\frac{opposite}{adjacent}$

$tan30^\circ=\frac{x}{10}$

$10tan30^\circ=x$

$10(\frac{\sqrt{3}}{3})=x$

$\frac{10\sqrt{3}}{3}=x$

$x\approx5.8$

You might be interested in

Which symbol creates a true sentence when x equals 2?<br><br><br><br> 6 • 8 – 2x _____ 6(5 + x)

Yuki888 [10]

>, When 2=x 6 times 8-2x is 44 while 6(5+x) is 42

3 0

3 years ago

Read 2 more answers

A real estate company is interested in the ages of home buyers. They examined the ages of thousands of home buyers and found tha

egoroff_w [7]

Answer:

Between 21 years and 75 years

Step-by-step explanation:

Given that a real estate company is interested in the ages of home buyers. They examined the ages of thousands of home buyers and found that the mean age was 48 years old, with a standard deviation of 9 years.

X the ages of home buyers is N(48, 9)

a) $30\leq x\leq 66\\|x-48|\leq 18\\|x-48|\leq 2\sigma$

Hence using Cheby chev inequality

$P(|x-48|\leq 2\sigma)\geq 1-\frac{1}{2^2} \\=0.75$

b) $25.5\leq x\leq 70.5\\|x-48|\leq 22.5\\|x-48|\leq 1.5\sigma$

$P(|x-48|\leq 1.5\sigma)\geq 1-\frac{1}{1.5^2} \\=0.556$

c) Using normal distribution we have

$P(|x-48|\leq 2\sigma)=0.95$

d) z value is 2.97

Hence x lies between

$(48-9*2.97, 49+9*2.97)\\=(21.27,74.73)$

Between 21 years and 75 years

4 0

3 years ago

Find the distance between the points (-3, 11) and (5, 5).

marshall27 [118]

Formula for distance between two points:

d = √((x₂-x₁)² + (y₂-y₁)²)

Let point 1 be (-3, 11) and point 2 be (5, 5)

Therefore x₁ = -3, y₁ = 11, x₂ =5, y₂ = 5, and substituting in the formula above.

d = √((x₂-x₁)² + (y₂-y₁)²)

   = √((5- -3)² + (5-11)²)

   = √((5+3)² + (5-11)²)

   = √((8)² + (-6)²) 8² = 8*8 = 64, (-6)² = -6*-6 = 36

   = √(64 + 36)

= √(100)

= 10

Distance = 10 units.

5 0

3 years ago

Eric practiced piano and guitar for a total of 8 hours this week. he practiced the piano for 1/4 or that time. how many hours di

AlexFokin [52]

2 because if 1/2 of 8 is 4 and 1/4 of 8 is = to 1/2 of 4, then 1/4 of 8 must be 2.

5 0

3 years ago

Read 2 more answers

Kali runs 10 laps around a track each day. Each lap around the track is 400 meters. How many days will it take Kali to run a tot

ra1l [238]

It will take Kali 3 days, or 30 laps to run a total of 12 kilometers.

6 0

3 years ago

Read 2 more answers