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Ivan
1 year ago
9

Which expression gives the value of QR?

Mathematics
1 answer:
Montano1993 [528]1 year ago
8 0

Answer:

B

Step-by-step explanation:

using the Sine Rule in Δ QRS

\frac{QR}{sinS} = \frac{RS}{sinQ} ( substitute values )

\frac{QR}{sin52} = \frac{67}{sin80} ( cross- multiply )

QR × sin80° = 67 × sin52° ( divide both sides by sin80° )

QR = \frac{67sin52}{sin80}

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A ramp has a horizontal distance of 10 feet and a vertical rise of 3 feet. Find the length of the ramp. Round to the nearest ten
Tatiana [17]

Answer:

Step-by-step explanation:

Tye length of the ramp can be gotten using Pythagoras theorem.

Horizontal distance = 10ft.

Vertical distance = 3ft

Length of the ramp² = 10²+3²

Length of the ramp² = 100+9

Length of the ramp² = 109

L² = 109

L =√109

L = 10.44ft

Hence the length of the ramp is 10.4ft to the nearest tenth

4 0
3 years ago
For the graph, what is a reasonable constraint so that the function is at least 300?
blsea [12.9K]

Answer:

C) 0 ≤ x ≤ 25

Step-by-step explanation:

We are supposed to find a reasonable constraint so that the function is at least 300 i.e. the value of x at which f(x) is greater or equal to 300

A)x ≥ 0

Refer the graph

At x = 0

f(x)=300

On increasing the value of x , f(x) increases but at x = 12 it starts decreasing

So, x ≥ 0 can also have f(x)<300

So, Option A is wrong

B)−5 ≤ x ≤ 30

At x = -5

f(x) = 100

So, Option B is wrong since we require f(x) is greater or equal to 300

c)0 ≤ x ≤ 25

At x = 0

f(x)=300

At x = 12 , it starts decreasing

At x = 25

f(x)=300

So, The value of f(x) is at least 300 when 0 ≤ x ≤ 25

D)All real numbers

At x = 30

f(x)=0

But we require f(x) greater or equal to 300

Hence Option C is true

8 0
3 years ago
Find a formula for the sun S of any three consecutive odd number?​
bixtya [17]

Answer:

Let first no. be x

Therefore,

2nd no. is x+1

Third no. is x+2

<em><u>SUM</u></em><em><u> </u></em><em><u>OF</u></em><em><u> </u></em><em><u>NO</u></em><em><u>.</u></em><em><u>'</u></em><em><u>s</u></em><em><u>=</u></em><em><u>x</u></em><em><u>+</u></em><em><u>x</u></em><em><u>+</u></em><em><u>1</u></em><em><u>+</u></em><em><u>x</u></em><em><u>+</u></em><em><u>2</u></em>

<em><u>S</u></em><em><u>=</u></em><em><u>3x</u></em><em><u>+</u></em><em><u>3</u></em>

<em><u>S</u></em><em><u>=</u></em><em><u>3</u></em><em><u>(</u></em><em><u>x</u></em><em><u>+</u></em><em><u>1</u></em><em><u>)</u></em>

8 0
3 years ago
Read 2 more answers
(pls help my teacher wants me to pass this!) which is the graph of this line segment after it is translated - 5 units along the
Kryger [21]

Answer:

3-th picture

Step-by-step explanation:

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5 0
1 year ago
Read 2 more answers
Help needed due today
kobusy [5.1K]

Answer:

1 1/4 inches deeper

Step-by-step explanation:

3 0
2 years ago
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