MATHEMATICS HIGH SCHOOL

Plzz help! Can you also explain. ps. It’s not 4

Answers

Answer 1

Answer:

Answer:

SR =3

Step-by-step explanation:

SR + RQ = SQ

2x+23 + x+21 = 14

Combine like terms

3x+44 = 14

Subtract 44 from each side

3x+44-44= 14-44

3x = -30

Divide each side by 3

3x/3 = -30/3

x = -10

SR = 2x+23 = 2(-10)+23 = -20+3 =3

Answer 2

Answer:

Answer: 3

Step-by-step explanation:

We can start by making an equation.

Since we know the total length of SQ we can add SR + RQ to equal SQ.

$(2x+23)+(x+21)=14$

The parenthesizes are not necessary but they help for understanding the parts of the equation.

We will remove the parenthesizes and combine like terms.

$3x+44=14\n$

Now subtract 44 from both sides to cancel it out from the side with x.

$3x=-30$

Now divide by 3 to isolate x.

$x=-10$

So x = -10.

Now we can plug in the value of x into SR.

$2(-10)+23 = SR$

Solve

So SR = 3

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Which inequality will have a shaded area below the boundary line? A. y - x > 5 B. 2x - 3y < 3 C. 2x - 3y < 7 D. 7x + 2y < 2 E. 3x + 4y > 12

Answers

Answer:
D. 7x + 2y < 2

Explanation:
The two general forma of the inequality are:
y < mx + c .........> In this case, shading is below the boundary line
y > mx + c .........> In this case, shading is above the boundary line

Since we are looking for the inequality with shading below the boundary line, therefore, we are looking for an y < mx + c format

Now, let's check the givens:
y - x > 5
Rearranging, we would get:
y > x + 5
The shading is above the boundary line. This option is incorrect

2x - 3y < 3
Rearranging, we would get:
2x - 3 < 3y
The shading is above the boundary line. This option is incorrect

2x - 3y < 7
Rearranging, we would get:
2x - 7 < 3y
The shading is above the boundary line. This option is incorrect

7x + 2y < 2
Rearranging, we would get:
2y < -7x + 2
The shading is below the boundary line. This option is correct

3x + 4y > 12
Rearranging, we would get:
4y > -3x + 12
The shading is above the boundary line. This option is incorrect

As a second solution, I attached the graphs of the 5 given functions.
Observing these graphs, we will find that the correct one is D

Hope this helps :)

When you change the inequality as the formula of y>ax+b, it is over the boundary line. While the formula is y<ax+b, it is below the boundary line. So we can get the answer is D.

Sin77*sin88+cos77*cos88**HELP ASAP**

Note: Numbers next to functions are in degrees.

Answers

Answer:

$\sf cos(77) * cos(88) + sin(77) * sin(88) =\boxed{\sf cos(11) \approx 0.982}$

Step-by-step explanation:

To simplify the expression $\sf sin(77) * sin(88) + cos(77) * cos(88)$ , we'll use trigonometric identities.

The identity we'll use is the product-to-sum formula for cosine:

$\boxed{\sf cos(A - B) = cos(A) * cos(B) + sin(A) * sin(B)}$

Now, let A = 77 and B = 88

$\sf cos(77 - 88) = cos(77) * cos(88) + sin(77) * sin(88)$

Notice that 77 - 88 = -11 degrees.

$\sf cos(-11) = cos(77) * cos(88) + sin(77) * sin(88)$

Now, we know that cos(-x) = cos(x), so:

$\sf cos(11) = cos(77) * cos(88) + sin(77) * sin(88)$

Finally, since the cosine function is even (cos(x) = cos(-x)), we have:

$\sf cos(11) = cos(77) * cos(88) + sin(77) * sin(88) = cos(-11)$

Therefore:

$\sf cos(77) * cos(88) + sin(77) * sin(88) =\boxed{\sf cos(11) \approx 0.982}$

See the attachmentfor trigonometric identities formula:

A cell phone company orders 600 new phones from a manufacturer. If the probability of a phone being defective is 3.5%, predict how many of the phones are likely to be defective. Round to the nearest whole number.18 phones
21 phones
210 phones
26 phones

Answers

To determine the number of cellphones likely to be defective, multiply the number of phones ordered by the probability. In this item, the product of 600 and 3.5% or 0.035 is 21. Therefore, 21 out of 600 phones are likely to be defective. The answer is the second among the choices.

Answer:

Step-by-step explanation:

In the school library, there are 235 fiction books, 125 nonfiction books, and 250 magazines. The ratio of fiction books to magazines is 235:250. Write the ratio of fiction books to magazinesmagazines as a fraction, a decimal, and a percent.

Answers

Fraction: 47/50
Decimal: 0.94
Percent: 94%

What is the area of the triangle A. 96 sq meters
B. 48 sq meters
C. 24 sq meters
D. 7 sq meters

Answers

c)24 sq meters.....................

In the past 4 years, a sporting goods store had two yearly losses of $28,000 and $42,000 and two yearly profits of $104,000 and $10,000. What was the net profit or loss over 4 years?

A.
–$70,000

B.

$114,000

C.
$44,000

D.
–$44,000

Answers

losses: 28,000 + 42,000 = 70,000
profit: 104,000 + 10,000 = 114,000

net profit = profit - losses
net profit = 114,000 - 70,000
net profit = 44,000

The net profit over the 4 year period is Choice C. 44,000

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