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bogdanovich [222]
3 years ago
9

Do Ilboe.org bookmarks

Mathematics
1 answer:
gavmur [86]3 years ago
8 0
You can do this just believe in your self
It A
You might be interested in
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
Maksim231197 [3]
1) To find x we are going to use the Pythagorean equation:
 x= \sqrt{a^{2}+b^{2}  }
where 
a and b are the legs of our triangle. For our picture we can infer that a=10 and b=8, so lets replace those values in our equation to find x:
x= \sqrt{10^{2}+8^{2}}
x= \sqrt{100+64}
x= \sqrt{164}
x=12.8
We can conclude that the value of x in our triangle is 12.8

2) To find y we are going to use the trigonometric function tangent. Remember that tan(y)= \frac{opposite}{adjacent}. We know that the opposite side of our angle y is 8, and its adjacent side is 10, so lets replace those values in our tangent function to find y:
tan(y)= \frac{8}{10}
tan(y)=0.8
Since we need the measure of angle y, we are going to take inverse tangent to both sides to find it:
y=arctan(0.8)
y=38.66
We can conclude that the value of y in our triangle is 38.66°

3) Finally, to find z we are going to take advantage of two facts: the sum of the interior angles of a triangle is always 180°, and  our triangle is a right one, so one of its sides is 90°. Therefore, y+z+90=180. Since we already know the value of y, lets replace it in our equation and solve for z:
38.66+z+90=180
z+128.66=180
z=51.34
We can conclude that the measure of angle z is 51.34°


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4 0
3 years ago
Read 2 more answers
To make four cakes, Dena used 6 cups of sugar. Using the same recipe, how much sugar does she need to make one cake?​
Fantom [35]
1.5 cups per cup. cups/cake
6 cups/ 4 cakes
= 1.5 cups per cake
5 0
2 years ago
Read 2 more answers
3 − m = −2 (m + 6); m = −15 Yes or No
Nimfa-mama [501]

Answer:

3 − m = −2 (m + 6); m = −15    Yes

5 (p + 3) = −35; p = −4            No

8q = 3 (10 + q); q = 6             Yes


Step-by-step explanation:

3 − m = −2 (m + 6)

3 - m = -2m - 12

m = -15

Answer is Yes


5 (p + 3) = −35

5p + 15 = -35

5p = - 50

p = -10

Answer is  No


8q = 3 (10 + q)

8q = 30 + 3q

5q = 30

q = 6

Answer is  Yes

5 0
3 years ago
4) Crystal wants to buy the newest iPhone XS Max that costs $1200.
irina1246 [14]

Answer:

8.75%

Step-by-step explanation:

If she pays $135 eight times then she pays a total of 135 x 8 = $1080.

She had a down payment of $225, so that added on becomes $1305.

1305/1200 is 1.0875, which is an increase of 0.0875 over the original.

0.0875 x 100 = 8.75% increase.

4 0
3 years ago
The price of an item yesterday was
lora16 [44]

step-by-step explanation: the increase = 204 - 120

increase = 84

percent increase = 84/120

percent increase = 70% so of course the percentage is 70%                          ( I hope this helps you )

8 0
3 years ago
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