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3 years ago

Solve by using substitution: y = 2x - 5 and y = 5x + 7 *

Mathematics

1 answer:

faltersainse [42]3 years ago

4 0

Answer:

x = -4, y = -13

Step-by-step explanation:

2x - 5 = 5x + 7

3x = -12

x = -4

Y = 2(-4)-5 = -13

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A circle has a circumfernce of 13 it has a arc length of 11. What is the central angle of the arc in degrees

tatiyna

Answer: 304.6°

Step-by-step explanation:

First of all, using the circumference of the circle formula to find the radius of the circle.

Circumference of the circle = 13, ie

2πr = 13,

r = 13/2π ---------------------------- 1

Now getting the radius of the circle now, you now substitute for this in the formula for finding the length of an arc to get the central angle.

Arc length = 11 , ( 2πr0°/360) or (πr0°/180), so

πr0°/180 = 11 ------------------------ 2

Now solve for 0°, the central angle of the angle by making it the subject of the formula.

πr0° = 180 x 11

0° = 180 x 11

----------- ----------------- 3

πr

Now, put equation 1 in equation 3 and solve.

0° = 1980

--------

π x 13/2π

= 1980 x 2π

-----------

π.x. 13

= 1980 x 2

----------

= 3960/13

= 304.6°

Therefore, the central angle of the arc is 304.6°

Please be meticulous and understand the way I change the r in the denominator. It was the rule in fraction when dividing.

5 0

3 years ago

Weekly demand for milk at a small grocery store is normally distributed with a mean of 251 gallons per week and standard deviati

slavikrds [6]

Solution

Given

mean = 251

standard deviation = 33

(a)

$\begin{gathered} P(Z$

Hence, X = 300

7 0

1 year ago

Read 2 more answers

I feed to find the circumference

fgiga [73]

answer:

131.88 inches

step-by-step explanation:

know the formula: 2πr
now plug in what we have

2πr = circumference

2(21)(3.14)

= 131.88

6 0

2 years ago

One plant from the garden is randomly selected. There is a 30% chance that the plant was purchased this year, and there is a 6%

Juliette [100K]

Answer and workings in the attachment below. Also, do me one big favour. Let me know if it's the answer your teacher or text book ends up giving you. That would give me some satisfaction.

Answer: 80%

7 0

3 years ago

Read 2 more answers

Domain and range of the inequality y<√x+3 +1

Margaret [11]

The domain of the given inequality is y>1.

<h3>What is Inequality?</h3>

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here, given inequality:

y < $\sqrt{x+3}+1$

Related equation:

y = $\sqrt{x+3}+1$

The equation defined as,

x+3 > 0

x > -3

In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.

So, the domain of the given inequality is x>-3.

We know that,

$\sqrt{x+3} \geq 0$