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galina1969 [7]
3 years ago
15

Find the measure of the leg of a 45-45-90 right triangle given the hypotenuse is 4√2 .

Mathematics
1 answer:
evablogger [386]3 years ago
4 0

Answer:

e). 4

Step-by-step explanation:

45-45-90

x-x-xsquare root of 2

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Which equation represents a line parallel to the line shown on the graph? On a coordinate plane, a line goes through (0, 8) and
dezoksy [38]

Answer:

  • B) y = negative 4 x + three

Step-by-step explanation:

<u>Find the slope of the line that goes through (0, 8) and (2, 0):</u>

  • m = (y₂ - y₁)/(x₂ - x₁)
  • m = (0 - 8) / (2 - 0) = -8/2 = -4

Parallel lines have equal slopes.

<u>Looking at the choices we see only one of them has the slope of  -4:</u>

  • y = -4x + 3
5 0
2 years ago
Please help will give brainliest
garri49 [273]

Answer:

b = 17

Step-by-step explanation:

For this triangle we have to

a=18.2\\B=62\°\\C=48\°

We want to find the length of b

We know that the sum of the internal angles of a triangle is 180 °

So

A + 62 +48=180\\\\A=180-62-48\\\\A=70\°

Now we use the sine theorem to find the length of b:

\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}

Then:

\frac{sin(A)}{a}=\frac{sin(B)}{b}\\\\b=\frac{sin(B)}{\frac{sin(A)}{a}}\\\\b=a*\frac{sin(B)}{sin(A)}\\\\b=(18.2)\frac{sin(62)}{sin(70)}\\\\b=17

5 0
3 years ago
Alejandra's Tapas Bar offers a menu consisting of $9$ savory and $5$ sweet dishes. You can also get a mix-and-match plate consis
Mariana [72]

Answer:

45

Step-by-step explanation:

Given that the number of savory dishes is 9 and the number of sweet dished is 5.

Denoting all the 9 savory dishes by p_1, p_2,...,p_9, and all the sweet dishes by q_1,q_2,...,q_5.

The possible different mix-and-match plates consisting of two savory dishes are as follows:

There are 9 plates with q_1 from sweet plates which are (q_1, p_1), (q_1, p_2), ..., (q_1,p_9).

There are 9 plates with q_2 from sweet plates which are  (q_2, p_1), (q_2, p_2), ..., (q_2,p_9).

Similarly, there are 9 plated for each q_3, q_4 and q_5.

Hence, the total number of the different mix-and-match plates consisting of two savory dishes

= 9+9+9+9+9= 9\times5=45

7 0
3 years ago
What number is 24% of 80?
almond37 [142]
24% of 80 is 19.2

120% of 70 is 84

20% of 150 is 30

0.8% of 150 is 1.2

120% of 85 is 102
3 0
3 years ago
Read 2 more answers
a triangle includes one angle that measures 72 degrees. which pair could be the measures of the other two angles of the triangle
Otrada [13]

Answer:

72,72,36

Step-by-step explanation:

7 0
4 years ago
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