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3 years ago

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 °

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

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:

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