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liubo4ka [24]
2 years ago
6

In the given right triangle, find the missing length. 10m 24m

Mathematics
1 answer:
adell [148]2 years ago
4 0

Answer:

10m

Step-by-step explanation:

mark me brainliest.

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The triangular park shown below is going to be surrounded by a fence the dimensions of the park are given in feet. How many feet
Ksenya-84 [330]

Answer:

its 65

Step-by-step explanation:

7 0
3 years ago
Write the equation in vertex form and then find the vertex, focus, and directrix of a parabola with equation x=y^2+18y-2
kakasveta [241]

Answer:

Part 1) The vertex is the point (-83,-9)

Part 2) The focus is the point (-82.75,-9)

Part 3) The directrix is x=-83.25

Step-by-step explanation:

step 1

Find the vertex

we know that

The equation of a horizontal parabola in the standard form is equal to

(y - k)^{2}=4p(x - h)

where

p≠ 0.

(h,k) is the vertex

(h + p, k) is the focus

x=h-p is the directrix

In this problem we have

x=y^{2} +18y-2

Convert to standard form

x+2=y^{2} +18y

x+2+81=y^{2} +18y+81

x+83=(y+9)^{2}

so

This is a horizontal parabola open to the right

(h,k) is the point (-83,-9)

so

The vertex is the point (-83,-9)

step 2

we have

x+83=(y+9)^{2}

<em>Find the value of p</em>

4p=1

p=1/4

<em>Find the focus</em>

(h + p, k) is the focus

substitute

(-83+1/4,-9)

The focus is the point (-82.75,-9)

step 3

Find the directrix

The directrix of a horizontal parabola is

x=h-p

substitute

x=-83-1/4

x=-83.25

6 0
3 years ago
the late fee for library books is $2.00 plus 15 cents each day for a book that is late. If Maria's fee for a late book was $3.20
love history [14]

Answer:

Maria's book was 8 days late

Step-by-step explanation:

According to the information given, you can write an equation that states that 15¢ multiply for the number of days that the book was late plus $2 is equal to $3.20:

0.15x+2= 3.20

x= number of days that the book was late

Now, you have to solve for x:

0.15x= 3.20-2

0.15x= 1.20

x= 1.20/0.15

x= 8

The book was 8 days late.

5 0
2 years ago
Give your answer as a mixed number.​
Tomtit [17]

5 1/3+1 1/3

= 15/3+1/3 3/3+1/3

=20/3

= 18/3+2/3

=6 2/3

OR

when both fractions are the same, you can just add them this way:

5 1/3 + 1/3

= 5+1 + 1/3+1/3

=6+2/3

= 6 2/3

4 0
2 years ago
Simplify the following expression:<br> (2a - 3) + (-a + 5)<br> PLEASE HELP ME
Feliz [49]

Answer:

(a+2)

Soo you could solve by removing the parenthesis, then combining all like terms. Then subtract.

8 0
3 years ago
Read 2 more answers
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