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serg [7]
3 years ago
15

Simplify the difference. (83 + 5 + 7) − (53 + 8 − 6)

Mathematics
1 answer:
Pepsi [2]3 years ago
6 0
95-55 is the simpliest form

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A skate board ramp is built on an incline so that it rests on a porch that is 1.3m high. The bottom of the ramp is placed 2.5m f
mr_godi [17]

Answer:

θ = 27.47°

Step-by-step explanation:

This problem can be represented as a right-angled triangle, as shown in the diagram below.

To find θ, we apply the tangent part of the trigonometric ratios SOHCAHTOA:

tanθ = \frac{opposite}{adjacent}

In the diagram, opposite = 1.3 m and adjacent = 2.5 m

Hence:

tanθ = \frac{1.3}{2.5}

tanθ = 0.52

θ = tan^{-1} 0.52

θ = 27.47°

The ramp forms 27.47° with the ground.

8 0
4 years ago
What is the value of x<br><br>HELP!!!!​
Scilla [17]

Answer: 7

Step-by-step explanation: This is an equalateral triangle. You can tell by the marks on each angle, marking that they are equal.

This means that the two sides that aren't the hypotenuse are the same.

Therefore,

4(x+2) = 36

Multiply out the 4

4x + 8 = 36

Subtract 8

4x = 28

Divide by 4

x = 7

6 0
3 years ago
Dana needs 4.25 cups of flour to make 5 dozen cookies. How
Ne4ueva [31]

Answer:

C. 0.85 cups

Step-by-step explanation:

4.25/5 = 0.85

5 0
3 years ago
Tthe area of a circle increases at a rate of 5 cm^2/s.
abruzzese [7]

Answer:

(a) 0.198 cm/s (b) 1 cm/s

Step-by-step explanation:

It is given that,

The rate of change of area of a cicle, \dfrac{dA}{dt}=5\ cm^2/s

(a) The area of a circle is given by :

A=\pi r^2

Differentiate both sides,

\dfrac{dA}{dt}=2\pi r\dfrac{dr}{dt}\\\\\text{Put the value of dA/dt and r = 4 cm}\\\\\dfrac{dr}{dt}=\dfrac{dA/dt}{2\pi r}\\\\\dfrac{dr}{dt}=\dfrac{5}{2\pi \times 4}\\\\\dfrac{dr}{dt}=0.198\ cm/s

(b) Circumference, C=2\pi r = 5 cm

\dfrac{dA}{dt}=2\pi r\dfrac{dr}{dt}\\\\\dfrac{dr}{dt}=\dfrac{dA/dt}{2\pi r}\\\\\dfrac{dr}{dt}=\dfrac{5}{5}\\\\\dfrac{dr}{dt}=1\ cm/s

Hence,

(a) 0.198 cm/s (b) 1 cm/s

6 0
3 years ago
A jewerly store sold a 7.4 gold necklace for 162.18 how much was the necklace worth per gram? round your answer to the nearest t
vitfil [10]

Answer:

$21.9 per gram

Step-by-step explanation:

Take the total price and divide by the number of grams

$162.18/7.4 grams

$21.91621 per gram

Rounding to the nearest tenth

$21.9 per gram

3 0
3 years ago
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