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AnnyKZ [126]
3 years ago
12

The hypotenuse of a 30- 60- 90 triangle has length 17. what is the length of the side opposite the 60 angle? if necessary, round

your answer to two decimal places.
Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
8 0
Side opposite 30 = 1/2(hypotenuse) ⇒ 1/2(17) = 8.5
Side opposite 60 = \sqrt{3}(side opposite 30) ⇒ 8.5 \sqrt{3} = 14.72 when rounded 2 decimal places
You might be interested in
Linn is making cookies. Each batch of cookies
Pachacha [2.7K]

Answer:

4 cups of sugar require 14 cups of sugar

Step-by-step explanation:

Given

\frac{7}{8}\ cup\ flour = \frac{1}{4}\ cup\ sugar

Required

Determine the cups of flour for 4 cups of sugar

First, we need to determine the unit rate for 1 cup of sugar.

This is done by multiplying both sides by 4

4 * \frac{7}{8}\ cup\ flour = \frac{1}{4}\ cup\ sugar * 4

\frac{7}{2}\ cup\ flour = 1\ cup\ sugar

Next, we determine cup of flour for 4 cups of sugar.

This is done by multiplying both sides by 4

4 * \frac{7}{2}\ cup\ flour = 1\ cup\ sugar * 4

2 * 7\ cup\ flour = 4\ cup\ sugar

14\ cup\ flour = 4\ cup\ sugar

<em>Hence;4 cups of sugar require 14 cups of sugar</em>

8 0
3 years ago
What is total 14.56 plus tip 15% plus tax7%.
Alexandra [31]
Hi,
The total amount is 17.91608
How I got my answer:
100 + tip%/100 * 14.56 = amount with tips
100 + 15/100 * 14.56
115/100 * 14.56
1.15 * 14.56 = 16.744
100 + tax%/100 * amount with tips = total amount
100 + 7/100 * 16.744 = total amount
107/100 * 16.744 
1.07 * 16.744
17.91608 = total amount
Hope this Helps you.

5 0
3 years ago
URGENT PLEASE HELP ME
krek1111 [17]

a) & b) is yes, c) is no. hope you have a good day

5 0
3 years ago
Read 2 more answers
!NEED HELP URGENTLY!<br> p − 10p + -5p + 14p − -9p − 2 = -20
bekas [8.4K]

Answer:

p = -2

Step-by-step explanation:

p − 10p + -5p + 14p − -9p − 2 = -20

-9p + 9p + 9p = -20 + 2

9p = -18

p = -2

7 0
3 years ago
What is the equation in slope-intercept form of a line that is perpendicular to y=2x+2 and passes through the point (4, 3)?
Ostrovityanka [42]
<h2>Answer:   y = - ¹/₂ x + 5 </h2>

<h3>Step-by-step explanation: </h3>

<u>Find the slope of the perpendicular line</u>

When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are negative-reciprocals of each other.

                 ⇒  if the slope of this line = 2     (y = 2x + 2)

                      then the slope of the perpendicular line (m) = - ¹/₂

<u>Determine the equation</u>

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                               ⇒  y - 3 =  - ¹/₂  (x - 4)

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                             since   y - 3 =  - ¹/₂  (x - 4)

                                              y = - ¹/₂ x + 5   (in slope-intercept form)

8 0
2 years ago
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