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OLEGan [10]
2 years ago
14

Which function passes through the points (2,3) and (4,4)?

Mathematics
1 answer:
Pie2 years ago
6 0
A(2;3), B(4;4)
y=ax+b
a=\dfrac{4-3}{4-2}=\dfrac{1}{2}
3=\dfrac{1}{2}*2+b
3=1+b
b=2

y=\dfrac{1}{2}x+2

:)
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A sporting goods store offers 40% discount on all golf clubs. Rocco spent 20% of the money in his savings account on a golf putt
MatroZZZ [7]

Answer:

Rocco doesn't have enough money to buy the golf irons

Step-by-step explanation:

step 1

Find the rest of the money left in the savings account

using proportion

\frac{\$48}{20\%}=\frac{x}{80\%}\\ \\x=48*80/20\\ \\x=\$192

step 2

we know that

The set of golf irons has an original price of $359

Applying 40% discount

100%-40%=60%=60/100=0.60

after the discount the price will be

0.60(\$359)=\$215.4

\$215.4> \$192

therefore

Rocco doesn't have enough money to buy the golf irons

7 0
3 years ago
PLEASE ANSWER THIS AND SHOW WORK. FIND THE SURFACE AREA FOR THE FIGURE BELOW
Varvara68 [4.7K]

Answer:

Total surface area of the given figure is 246.75 square mile.

Step-by-step explanation:

Surface Area of the given figure = Lateral surface area + Area of the base

Lateral surface area of the figure = Sum of the areas of 5 triangular surfaces

                                                        = 5(\frac{1}{2} )(\text{Base})(\text{Slant height})

                                                        = \frac{5}{2}(7)(9.3)

                                                        = 162.75 mi²

Surface area of the pentagonal base = 84 mi²

Total surface area of the figure = 162.75 + 84

                                                    = 246.75 mi²

Therefore, total surface area of the given figure is 246.75 square mile.

8 0
2 years ago
Please help! 30 points!
Rashid [163]

Answer: 64.2^{\circ}

Step-by-step explanation:

According to the cosine rule

\cos C=\dfrac{a^2+b^2-c^2}{2ab}

Here, a=83, b=111, c=165,\ C=180^{\circ}-\theta

Putting values

\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}

So, the ship turns by 64.2^{\circ} north of west

8 0
3 years ago
Math geometry show work Thanks
aev [14]

Problem 1, part (a)

<h3>Answer: False</h3>

For instance, 200 feet in real life can be reduced to scale down to say 2 inches on paper. So we have a reduction going on, and not an enlargement.

====================================================

Problem 1, part (b)

<h3>Answer: true</h3>

This is because a scale drawing involves similar polygons. This is true whenever any dilation is applied.

====================================================

Problem 2

I'm not sure how your teacher wanted you to answer this question. S/he didn't give you any numbers for the side lengths of the polygon. The angle measures are missing as well.

4 0
2 years ago
The base of a cube is 36cm. What is the volume of the cube?
sasho [114]

Answer:

46656

Step-by-step explanation:

8 0
2 years ago
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