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kolbaska11 [484]
2 years ago
14

Estimating a decimal sum or difference Estimate 18.71 +5.149 by first rounding each number to the nearest tenth.​

Mathematics
1 answer:
wel2 years ago
8 0

Answer: 24

Step-by-step explanation:
If you round 18.71 to the nearest tenth it = 18.7 and the other one is 5.100 or 5.1  18.7+5.1=23.8 and that rounds up to 24

I dont know if this is what the question meant sorry if its not but I tried

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Find cot theta if csc theta= the square root of 5/2 and tan theta>0
Nostrana [21]
Since \cot^2\theta+1=\csc^2\theta, you have

\cot^2\theta=\left(\dfrac{\sqrt5}2\right)^2-1=\dfrac14
\cot\theta=\pm\sqrt{\dfrac14}=\pm\dfrac12

Since \tan\theta>0, and \cot\theta=\dfrac1{\tan\theta}, you know that \cot\theta is also positive, which means

\cot\theta=\dfrac12
3 0
3 years ago
What is the area of the polygon below ?
elena55 [62]

It's best to think of oddly shaped polygons as different simple shapes within itself. You can divide them into two rectangles, solve for their areas separately, then add them together. (Halves slip horizontally)

6*11 would be the top half, which equals 66 square units

It is not given the amount of units long the longest side is, but you can figure it out by adding the sides given above. (7, 11, and 6)

5*24 would be the bottom half; 120 square units

Add both areas together to get the overall area of the polygon given

66+120=186

4 0
3 years ago
Find the equation of the line that passes through the point (2,3) and is perpendicular to the line with the equation 3x + 4y ? 8
MrRissso [65]
I'm assuming that ? is  a minus sign
3x+4y-8=0


a.
perpendicular lines have slopes that multiply to -1
ok
for ax+by-c=0
the slope is -a/b
so
3x+4y-8=0
slope=-3/4

perpendicular lines have slopes that multiply to get -1
-3/4 times what=-1
times both sides by -4/3
what=4/3

the slope is 4/3

y=mx+b
m=slope
b=y intercept

y=4/3x+b
we are given the point (2,3)
x=2 and y=3
3=4/3(2)+b
3=8/3+b
3-8/3=b
9/3-8/3=b
1/3=b

y=4/3x+1/3 is the equation



b. the slope is 4/3

c. the y intercept is 1/3


d. see attachment

5 0
3 years ago
Solve 1 + cos theta = 2 cos^2 theta
valentina_108 [34]

~~~~1+ \cos \theta = 2 \cos^2 \theta \\\\\implies 2\cos^2 \theta -\cos \theta -1 = 0\\\\\implies 2 \cos^2 \theta -2\cos \theta + \cos \theta -1 = 0\\\\\implies 2 \cos \theta( \cos \theta -1) +(\cos \theta -1)=0\\\\\implies (\cos \theta -1)(2 \cos \theta +1)=0\\\\\implies \cos \theta = 1, ~~\cos \theta = -\dfrac 12\\\\\implies \theta = 2n\pi,~~~ \theta = 2n\pi \pm \dfrac{2\pi}3

8 0
2 years ago
Answer
timurjin [86]

Answer:

Betty = $600

Step-by-step explanation:

3/4 of Alice's salary is the same as 1/2 of Betty's salary

(3/4)a = (1/2)b

multiply both sides by 2

(3/2)a = b

Alice earns $200 less than Betty

b - a = 200

Substitute for b

(3/2)a - a = 200

(1/2)a = 200

multiply both sides by 2

a = 400

b = (3/2)400

b = 600

5 0
3 years ago
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