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3 years ago

Can anyone help with this? Please and thank you.

Mathematics

1 answer:

Fed [463]3 years ago

3 0

To find the length of the slanted line, you have to draw a line creating a right triangle. The sides are 17, (81-29=52) and the missing side. You can use the Pythagorean Theorem to find the side:

a2+b2=c2
17^2+52^2=c^2
c^2=2993
c=sqrt2993=54.7, which you can round to 55.

Then to find the perimeter, add up all sides: 17+81+55+29=182. This is the perimeter

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A ski hat is priced at 19.50 and a pair of ski boots are priced at 85.50. If the sales tax rate is 7%, then what is the total co

m_a_m_a [10]

Answer:

The total cost of the ski hat and the ski boots is $112.35.

Step-by-step explanation:

First, we need to add the prices of the ski hat and the ski boots.

85.50 + 19.50 = $105

Now, we need to find 7% of $105, and then add it to the total.

105 x 0.07 = $7.35

105 + 7.35 = $112.35

Therefore, the total cost of the ski hat and the ski boots is $112.35.

Let me know if this helps!

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3 years ago

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Write an equation of a line in slope-intercept form for the

Alex73 [517]

Answer:

The desired equation is thus y = 4x + 17

Step-by-step explanation:

The slope-intercept form of the equation of a straight line is y = mx + b. There are two values to find: slope m and y-intercept b.

The line passes through (4, 33). Thus, 33 = m(4) + b.

The line also passes through (1, 21). Thus, 21 = m(1) + b, or m = 21 - b.

Thus we have a system of linear equations to solve, and will use the substitution method:

Substitute 21 - b for m in 33 = 4m + b:

33 = 4(21 - b) + b, which, in expanded form, is 33 = 84 - 4b + b, or

33 = 84 - 3b, of

-51 = -3b.

Thus, b = 17. Since m = 21 - b, when b = 17, m = 21 - 17 = 4

The desired equation is thus y = 4x + 17

Of course there are other ways to find this equation. You could, if you wished, find the slope of the line passing through the given points using the definition of slope, and then find the y-intercept.

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Answer:

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Answer:

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3 years ago

If the ratio of star shaped cookies to circular cookies is 5: 6 and the ratio of circular cookies to triangular cookies is 3: 10

SCORPION-xisa [38]

Answer:

$1:4$

Step-by-step explanation:

Without loss of generality, let there be 5 star shaped cookies. Following the proportions given, there will be 6 circular cookies. We can set up the following proportion to find out how many triangular cookies there would be:

$\frac{3}{10}=\frac{6}{x},\\3x=60,\\x=20$ .

Therefore, for every 5 star shaped cookies there will be 20 triangular cookies.

Simplifying this ratio we have $5:20 \implies \boxed{1:4}$ .

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