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postnew [5]
3 years ago
7

Which angle is vertically opposite to <CFD​

Mathematics
1 answer:
maw [93]3 years ago
3 0

Answer:

show more of the pict i can't tell what it is

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In an election, Mr. Jones received 70% of the 1,500 votes cast. How many votes did Mr. Jones receive?
Luba_88 [7]
With receiving 70% of the 1,500 votes, Mr. Jones overall ended up receiving 1050 votes. 

70% of 1500 is equal to (70 × 70) / 100 = 1050.
6 0
3 years ago
Read 2 more answers
The length of a rectangle is 12 miles less than twice the width. The perimeter of the rectangle is 96 miles. Find the dimensions
stealth61 [152]

Answer:

Length= 68 miles

Width=28 miles.

Step-by-step explanation:

Length=2x+12

Width=x

2x+12+x=96

3x+12=96

3x=96-12

3x=84

X=28

Width=28

Length=(2×28)+12=68

3 0
3 years ago
What is an equation of a parabola with the given vertex and focus? vertex 0,0 focus 2.5 0?
SVEN [57.7K]
We have that

<span>vertex (0,0)
and
focus (2.5, 0)

we know that

</span>vertex and focus lie on same vertical or horizontal line
<span>in this problem
</span>We can see that focus is right of vertex so parabola opens to right. It is horizontal parabola
<span>the equation is of the form
(y-k)</span>²=4a(x-h)
<span>where (h,k)-----> is the vertex
and 
a------> </span>distance between vertex and focus
<span>
step 1
vertex (h,k)-------> (0,0)

step 2
find the distance a  between point (0,0) and (2.5, 0)

a=</span>√[(0-0)²+(2.5-0)²]------> a=√(2.5)²------> a=2.5 units
<span>
the equation is
</span>(y-k)²=4a(x-h)------> (y-0)²=4*2.5*(x-0)-------> y²=10x
<span>
the answer is
</span> y²=10x
<span>
see the attached figure


</span>

3 0
3 years ago
The velocity function, in feet per second, is given for a particle moving along a straight line. () = 2 − − 42, 1 ≤ ≤ 12
yKpoI14uk [10]

Question:

The velocity function, in feet per second, is given for a particle moving along a straight line. v(t) = t^2 - t - 42    1 \le t \le 12

Find the displacement

Answer:

The displacement is 42.17ft

Step-by-step explanation:

Given

v(t) = t^2 - t - 42    1 \le t \le 12

The displacement x, is calculated using:

x = \int\limits^a_b {v(t)} \, dt

x = \int\limits^{12}_{1} {t^2 - t - 42} \, dt

Integrate

x = \frac{1}{3}t^3 - \frac{1}{2}t^2 - 42t|\limits^{12}_{1}

Substitute 12 and 1 for t respectively

x = (\frac{1}{3}*12^3 - \frac{1}{2}*12^2 - 42*12) - (\frac{1}{3}*1^3 - \frac{1}{2}*1^2 - 42*1)

x = (576 - 72 - 504) - (\frac{1}{3} - \frac{1}{2} - 42)

x = (0) - (-42.17)

x = 42.17

8 0
3 years ago
Mrs Clarke said she had been marking for two hours. If she had marked two sets of books. About how long did it take to mark each
Ede4ka [16]
How many books in each set?
7 0
3 years ago
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