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Usimov [2.4K]
3 years ago
7

What is the length of the line TR​

Mathematics
2 answers:
PSYCHO15rus [73]3 years ago
6 0

Answer:

\Large \boxed{\sf 15}

Step-by-step explanation:

Both triangles are similar so the two corresponding sides are proportional.

\displaystyle \frac{4}{6} =\frac{10}{TR}

TR= 15

8090 [49]3 years ago
3 0

Answer:

15

Step-by-step explanation:

If the other triangle is part of the problem the triangle increased by 2.5

2.5 * 6 is 15

so 15 is the length of TR

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The given function models the number of cars that are put through a quality control test each hour at a car production factory.
Annette [7]

hours each day.

Step-by-step explanation:

The given function models the number of cars that are put through a quality control test each hour at a car production factory.

The given function is

We need to find the number of hours does the quality control facility operate each day.

Rewrite the given function it factored form.

Taking out the common factors from each parenthesis.

The factored form of given function is c(t)=-(t-10)(t+2).

Equate the function equal to 0 to find the x-intercept.

Number of hours cannot be negative. So from t=0 to t=10 quality control facility operate the cars.

Therefore the quality control facility operates for 10 hours each day.

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3 years ago
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marshall27 [118]

Answer:

w=-\frac{3u}{2}+2

Step-by-step explanation:

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In one school, a half of all students who like math like science as well. Also, in that school, a third of all students who like
Marizza181 [45]

Answer: 2/3

Step-by-step explanation:

N is the total number of students

M is the number of students thta like math

S is the number of students that like science.

We know that half of the elements in M also are elements from S

And a third of the elements of S also are elements of M

And because those elements are common elements for both sets, we should have that:

M/2 = S/3

then we have that:

M = (2/3)*S

The ratio is 2/3

this means that the number of students that like math is 2/3 times the number of students that like science.

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3 years ago
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What equation is graphed in this figure?
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I believe it’s the last answer the fourth one
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3 years ago
The volume of a hemisphere is 144 pi. Find the radius and total surface area.
sineoko [7]
Formula of the Volume of a hemisphere:
V = \frac{2}{3}\pir³
144\pi = \frac{2}{3}\pir³
Multiply by 3 to cancel fraction in the right side
144\pi × 3 = 2\pi r³
432 \pi = 2\pir³
Divide by 2\pi on either sides to isolate r³
\frac{432 \pi }{2 \pi } = \frac{2 \pi }{2 \pi }r³
2\pi and 2 \pi cancel out
216 = r³
Take cube root to find the radius
\sqrt[3]{216} = \sqrt[3]{r^3}
6 = r
Radius is 6 units

The formula of the surface area of a hemisphere is:
S.A = 2\pir² + \pir²
       = 2\pi(6)² + \pi(6)²
       =2\pi × 36 + 36\pi
       = 72\pi + 36\pi
       = 108\pi units²  (in terms of \pi)
       ≈ 339.12 units²

Surface area = 108\pi units
8 0
3 years ago
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