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3 years ago

Solve the system of equations by substitution. Write your solution as an ordered pair

Mathematics

2 answers:

Ksivusya [100]3 years ago

7 0

Answer:

Step-by-step explanation:

Frt

attashe74 [19]3 years ago

6 0

X + 8x = 81
9x = 81, x = 9
y = 8(9), y = 72
Solution: (9, 72)

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Nadine mixes a juice solution that is made from 3 gallons of an 80% juice solution and 1 gallon of a 20% juice solution. What is

lesya692 [45]

C:65% Would be the answer i believe you're looking for, hope this helps!

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3 years ago

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Arc CD is 2/3 of the circumference of a circle. What is the radian measure of the central angle?

Butoxors [25]

⁴/₃π radian

<h3>Further explanation</h3>

Given:

Arc CD is $\frac{2}{3}$ of the circumference of a circle.

We will measure the central angle of the circle in radians.

Step-1: measure the central angle (θ) in degrees

The full angle of a circle is 360°, thus

$\boxed{ \ \theta = \frac{2}{3} \times 360^0 \ }$

We get the degree measure of the middle angle, i.e., $\boxed{ \ \theta = 240^0 \ }$

Step-2: convert degrees to radians

Because $\boxed{ \ \pi \ radian = 180^0 \ }$ , then

$\boxed{ \ \theta = 240^0 \times \frac{\pi \ radians}{180^0} \ }$

Cross out 240° and 180° because they are equally divided by 60°.

$\boxed{ \ \theta = 4 \times \frac{\pi \ radians}{3} \ }$

Hence, the radian measure of the central angle is $\boxed{\boxed{ \ \theta = \frac{4}{3} \pi \ radians \ }}$

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Quick Steps

The full angle of a circle is 2π radians.

$\boxed{ \ \theta = \frac{2}{3} \times 2 \pi \ radians \ }$

Hence, the radian measure of the central angle is $\boxed{\boxed{ \ \theta = \frac{4}{3} \pi \ radians \ }}$

One radian represents the measure of a central angle of a circle that intercepts an arc whose length equals a radius of the circle.

<h3>Learn more</h3>

What is 270° converted to radians brainly.com/question/3161884
The general form of the equation of circle with center A(-3,12) and the radius is 5 brainly.com/question/1506955
The equation represents a circle with the same radius as the circle shown but with a center at (-1, 1)? brainly.com/question/1952668

Keywords: arc CD is 2/3 of the circumference of a circle, what is the radian measure of the central angle, converts, pi, π, the full angle

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3 years ago

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What’s the value of x?

iogann1982 [59]

Answer:

X=8

Step-by-step explanation:

Opposite side angles on the transversal are congruent.

SO 6x-2=46

46+2=48

48/6=8

X=8

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3 years ago

Monica [59]

Answer: a) P=10c b) A=4(c^2)

Step-by-step explanation:

the length of each side is c

a) the perimeter is the border of the whole shape. we can see here there are 4 squares but together. each square has 4 sides however since they are connected, we only count 10 of them for the perimeter. 4 for the top and bottom and 1 on each side (4+4+1+1)=10. so it would be 10c

b) area is width x length. which is c x c or c^2. multiply this by however many squares there are. in this case its 4. so it would be 4 x (c^2) or 4(c^2)

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3 years ago

A scrapyard had 200 tons of recycled steel. They sold 15 tons per day for several days. If there are 80 tons left at the scrapya

Vanyuwa [196]

Answer:

8 days

Step-by-step explanation:

200-80= 120

120 ÷ 15 = 8 days

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3 years ago

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