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ryzh [129]
3 years ago
8

Give The measures of the angle that is complementary to the given angle

Mathematics
1 answer:
ivolga24 [154]3 years ago
7 0

36

Step-by-step explanation:

We know that

  • Sum of two complementary angles is 90°
  • Let the other angle be x
<h3>So</h3><h3>\rm \dashrightarrow \: x + 54 = 90 \\ \rm \dashrightarrow \: x = 90 - 54 \\   \rm \dashrightarrow \: x = 36</h3>
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Write a equation of a hyperbola given the foci and the asymptotes
professor190 [17]

Solution:

The standard equation of a hyperbola is expressed as

\begin{gathered} \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\text{ \lparen parallel to the x-axis\rparen} \\ \frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ \lparen parallel to the y-axis\rparen} \end{gathered}

Given that the hyperbola has its foci at (0,-15) and (0, 15), this implies that the hyperbola is parallel to the y-axis.

Thus, the equation will be expressed in the form:

\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ ----equation 1}

The asymptote of n hyperbola is expressed as

y=\pm\frac{a}{b}(x-h)+k

Given that the asymptotes are

y=\frac{3}{4}x\text{ and y=-}\frac{3}{4}x

This implies that

a=3,\text{ and b=4}

To evaluate the value of h and k,

undefined

3 0
1 year ago
Ken wants to install a row of ceramic tiles on a wall that is 21 3/8 inches wide. Each tile is 4 1/2 inches wide. What fraction
pentagon [3]

Answer: 1/4

Step-by-step explanation:

He needs 4 3/4 whole tiles, you could round it to 5 whole tiles. He needed 4 3/4 whole tiles. To completely fill in all the spaces on the wall evenly, it needs to be 5 even, while, tiles. To fill in the empty space, you must subtract 5 and 4 3/4, which explains why Part A says “How many whole tiles does he need” and the answer “4 3/4” So, Subtraction: 5- 4 3/4 = 1/4!

Your welcome :)

6 0
2 years ago
What is -19 + 37?<br> -56<br> -18<br> 18<br> 56
rodikova [14]
All your doing here is 37-19 adding negative is the same has munising 

So 37-19=18
5 0
3 years ago
How do I do this activity?
d1i1m1o1n [39]

In the X column put 1, 2, and 3

for the y column, plug in the 1, 2, or 3 into the X

for example, a) y=5x+3  

x= 1, 2, 3                 y=5(1)+3 = 8

y= 8, 13, 18

7 0
4 years ago
Pls help me I don’t know I just need 5 and 6 to be answered
Vlada [557]

Answer:

5. Mark had 6 laps and John has 42 laps. So you could do a sentence like: John has 42 laps and Mark has 6 laps. What is the diffrence between the two laps?

6. Im not sure about this one :/. Im truly sorry. :(. Good luck tho!

Step-by-step explanation:

6 0
3 years ago
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