Answer:
Based on hint and given formula, we can complete the problem. The question asks for square feet of grass so we know that we are solving for the area, A. It also tells us the height (looking downward) of the field is 75 ft,h, while the two bases are 125 ft and 81 ft (b1 and b2). So we can solve the equation. A = 75((125+81)/2) A = 75(206/2) A = 75(103) A = 7725 The area of the field is 7725 square feet.
Step-by-step explanation:
The equivalent equations of the trapezoid are:
h = 2A / (b₁ + b₂)
b₁ = 2A / h - b₂
b₂ = 2A / h - b₁
A = (b₁ + b₂) x h / 2
What is a trapezium?It is a quadrilateral that has one pair of parallel sides and a height.
The area is calculated as 1/2 x the sum of the parallel sides x height.
Examples:
Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.
Area = 1/2 x (3 + 4) x 5
Area = 1/2 x 7 x 5
Area = 35/2 = 17.5 cm^2
We have,
The formula for the area of a trapezoid can be rearranged in different ways to express the same relationship between the height, the bases, and the area.
Here are a few equivalent equations:
h = 2A / (b₁ + b₂) (solve for h)
b₁ = 2A / h - b₂ (solve for b₁)
b₂ = 2A / h - b₁ (solve for b₂)
A = (b₁ + b₂) x h / 2 (multiply both sides by 2 and divide by h)
These equations can be used interchangeably to calculate the area, height, or base of a trapezoid, depending on which variables are known or given.
Thus,
The equivalent equations are:
h = 2A / (b₁ + b₂)
b₁ = 2A / h - b₂
b₂ = 2A / h - b₁
A = (b₁ + b₂) x h / 2
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Need help please .The ares of the sector shown below is 59 yd^2 find the length of the radius. Round to the nearest whole number use 3.14 for pi
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=59\\ \theta =40 \end{cases}\implies 59=\cfrac{(40)\pi r^2}{360}\implies 59(360)=40\pi r^2 \\\\\\ \cfrac{59(360)}{40\pi }=r^2\implies \cfrac{531}{\pi }=r^2\implies \sqrt{\cfrac{531}{\pi }}=r\implies 13\approx r[/tex]
Select the equation that matches the written description.
A number, y is eight less than negative nine times a number,x.
(А)
y = -4x + 8
B
y = 3x + 8
y = -9x - 8
D
y = 5x + 8
Answer:
C. y = -9x - 8
Step-by-step explanation:
Setting up the equation:
eight LESS (so minus sign before the 8) THAN (so 8 is being subtracted from the -9x) negative (-) nine TIMES (multiplication) a number, (variable) x.
We want to get the variable y alone, so this can be written as y = -9x - 8
In my local travel shop i can exchange euros for british pounds when i come back from holiday. I get £1 for every 1.46 euros. Complete this table for different values of euros that people exchanged in front of me in the shop.
21. 14.60 euros in pounds =
22. 109.50 euros in pounds =
23. 73 euros in pounds =
24. 365 euros in pounds =
Answer:
21. £10
22. £75
23. £50
24. £250
Step-by-step explanation:
Rate: 1.46 euros per £1
Q21
14.60 euros in pounds14.60/1.46 = £10Q22
109.50 euros 109.50/1.46 = £75Q23
73 euros73/1.46 = £50Q24
365 euros365/1.46 = £250Answer:
21. £10
22. £75
23. £50
24. £250
Step-by-step explanation:
Exchange rate:
£1 = ∈1.46
To convert from euros to pounds, divide the euros by 1.46
To convert from pounds to euros, multiply the pounds by 1.46
Question 21
14.60 euros = 14.60 ÷ 1.46 = £10
Question 22
109.50 euros = 109.50 ÷ 1.46 = £75
Question 23
73 euros = 73 ÷ 1.46 = £50
Question 24
365 euros = 365 ÷ 1.46 = £250
pls help i’ll give 20 points and brainliest
Answer:
all you have to do is plug points into the equation m=(x1-x2)/(y1-y2) to find the slope. then choose one of the points to plug into the equation y-y1=m(x-x1).
Step-by-step explanation:
use the formulae for each question.
What is the slope of a line that goes through (2,-2) and (5,6)?
Step-by-step explanation:
The slope formula from 2 points is:
m=(y2-y1)/(x2-x1)
So input the numbers:
m = (6 - -2) / (5 - 2)
Solve within parenthesis:
m = (8) / (3)
Then divide!
8/3 = 2 2/3
the slope of the line is 2 and 2/3
what is the answer for r= 8, d = 2x - 4?
Answer:
2
Step-by-step explanation:
2x -4= 0
2x-4+4=0
2x=0+4
2x=4
2x/2=4/2
x=2
Can someone please help me?
Answer:
m1= 63°m2=117°m3=63°Step-by-step explanation:
a straight line equals 180°. so if one side is 117°, the other side would have to add up to 180.
180-117=63
And you can kind on figure out what is the same as the other angles. Hope his helps
Circle K has a radius of 8 inches. Diameter AKC is drawn and point F is located on the circle such that
FC = 6. Which of the following is closest to the length of FA?
(1) 5.3
(2) 8.7
(3) 12.4
(4) 14.8
If Circle K has a radius of 8 inches. The figure that is closest to the length of FA is: 14.8.
LengthMAC=1/2×360°=180°
mΔAFC=1/2×180°=90°
Circumference angle theorem
AK=8
AC=2
AK=16
Pythagorean theorem
FA²+FC²=AC²
Substitution
FA²+6²=16²
FA²+36=256
FA²=√220
FA=14.8
Therefore the figure that is closest to the length of FA is: 14.8.
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Find the arc length of the circle with a central angle of 30 degrees and a radius 12. Leave the answer in terms of π.
[tex]\text{Arc length,}\\\\s = r \theta \\\\~~=12\cdot \left(30 \times \dfrac{\pi}{180} \right)\\\\~~=12\cdot \dfrac{\pi}6\\\\~~=2\pi[/tex]
To the nearest yard, what amount of fencing is needed to surround the perimeter of the picnic area? 95 yards 107 yards 160 yards 190 yards
The perimeter of the picnic area is 107 yards
Complete Question:A triangular picnic area has the side lengths of 45, 31 and 31 yards; To the nearest yard, what amount of fencing is needed to surround the perimeter of the picnic area? 95 yards 107 yards 160 yards 190 yards
How to determine the perimeter?From the complete question, we have:
Shape: Triangle
Side lengths = 45 yards, 31 yards, 31 yards
The perimeter is the sum of the side lengths.
So, we have:
Perimeter = 45 + 31 + 31
Evaluate
Perimeter = 107
Hence, the perimeter of the picnic area is 107 yards
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Answer:B
Step-by-step explanation:
107 Yards
Melissa needs to make a total of 80 deliveries this week. so far she has completed 16 of them. what percentage of her total deliveries has melissa completed?
Nineteen years ago Sean was 28 years old. How old is he now?
21.
1 point
A movie theater is showing three different movies. The dot plots represent
the ages of the people who were at the Saturday afternoon showing of each
of these movies. One of these movies was an animated movie rated G for
general audiences. Do you think it was Movie A, B. or C?*
movie A
30 35
45 50
55
movie B
50
10
movie C
Mark only one oval.
A
000
15
age
35
.....
45
50
Answer:
One of these movies was an animated movie rated G for general audiences. Do you think it was movie A, B, or C?
movie B
Which movie has a dot plot with ages that that center at about 30 years?
movie C
What is a typical age for the people who were at Movie A?
40
Step-by-step explanation:
I had the same question but I'm pretty sure that is the correct answer for it, sorry if I am wrong.
6 + 33 divided by 9 what is it
Answer:
I think its 4.9
Step-by-step explanation:
i used a calculator
Answer:
6+33/9 ≈ 9.67
Step-by-step explanation:
first you have to divide 33 by 9 getting roughly 3.67
once you have that u add 6
roughly giving you 9.67
3. Determine the probability that a randomly selected person has a birthday on the 29th day of a month.
Answer:
0.0308.
Step-by-step explanation:
There are 11 months out of the year which have a 29th day except for a leap year when all 12 have it.
Required probability = number of '29th' days in 4 years / total days in 4 years
= (3*11 + 12) / (3*365 + 366)
= 45/1461
= 0.0308.
Keller has $15 from babysitting. He spends $3 on a cat toy and
$3 on markers.
Match the model to the correct equation showing how much
money Keller has left.
$15
15 = m +3+3
15 + 6 = m
15 - 3 - 3 m
3+3+15 m
Subre
Answer:
c.
Step-by-step explanation:
15-3-3=9...........
Determine if square root of three is rational or rational and why
Answer:
Irrational
Step-by-step explanation:
If the number goes on and on it’s irrational
Hope this helps! ;-)
Answer:
It is not rational because the square root of 3 is not a fraction nor a repeating decimal.
Solve for the value of z :
5(z+4)+5(2-z)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \sf \dashrightarrow \: 5(z + 4) + 5(2 - z)[/tex]
[tex]\qquad \sf \dashrightarrow \: (5 \cdot z) + (5\cdot4) + (5\cdot2) - (5\cdot z)[/tex]
[tex]\qquad \sf \dashrightarrow \: 5z + 20 + 10 - 5z[/tex]
[tex]\qquad \sf \dashrightarrow \: 5z - 5z+ 20 + 10[/tex]
[tex]\qquad \sf \dashrightarrow \: 30[/tex]
So, the equivalent expression is 30
Answer:
30
Step-by-step explanation:
Let us divide the whole expression by 5. Then we must multiply the whole expression by 5 to obtain the same value as before.
Thus, we get the following expression:
[tex]\implies\huge\text{[}\dfrac{5(z+4)+5(2-z)}{5}\huge\text{]} \times 5[/tex]
[tex]\implies\huge\text{[}\dfrac{(z+4)+(2-z)}{1}\huge\text{]} \times 5[/tex]
Now, open the inner-most parentheses as the expression inside the inner-most parentheses, cannot be simplified further.
[tex]\implies\huge\text{[}\dfrac{z+4+2-z}{1}\huge\text{]} \times 5[/tex]
It should be noted that any number being subtracted from the same number is equivalent to 0. Therefore, we get the following expression:
[tex]\implies\huge\text{[}\dfrac{4+2}{1}\huge\text{]} \times 5[/tex]
Simplify the expression inside the long brackets.
[tex]\implies\huge\text{[}\dfrac{6}{1}\huge\text{]} \times 5[/tex]
Now, we can open the long brackets and simplify the product of 6/1 and 5.
[tex]\implies\huge\text{[}\dfrac{6}{1}\huge\text{]} \times 5 = \dfrac{6 \times 5}{1} = \dfrac{30}{1} = 30[/tex]
Therefore, the simplified expression is 30.
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PLEASE HELP! TY
A circle is centered at (4, -2) and has a radius of 11.
What is the equation of the circle?
Answer:(x-4)^2+(y+2)^2=121
Step-by-step explanation:
eqaution of circle is this
(x-h)^2+(y-k)^2=r^2
(x-4)^2+(y--2)^2=r^2
and 2 negatives make positive
(x-4)^2+(y+2)^2=r^2
and r^2=121
(x-4)^2+(y+2)^2=121
Solve for the variable:
-3-√5x² = 2
Answer:
No solution or Undefine
Step-by-step explanation:
A rectangular cloth of length 10 1/2 m and 7 2/3 m wide used to make the UAE national flag. Find the perimeter of the flag.
Answer:
36.32 m
Step-by-step explanation:
perimeter = 2(l+b) = 2(10.5 + 7.66)
=2(18.16)= 36.32 m
Help me i dont get this
Answer:
Step-by-step explanation:
88 / 184 ≈ 0.48
96 / 184 ≈ 0.52
104 / 166 ≈ 0.63
62 / 166 ≈ 0.37
What is the value of x?
is the ordered pair (2,1) a solution for
[tex] y \leqslant \frac{3}{2} x + 3 \: show \: your \: work[/tex]
Answer:
put x= 2 and y = 1
and see this inequality will holds
28. Daniel uses 18 pints of water to fill 8 bottles. He
pours the same amount of water into each bottle.
How many pints of water does he pour into each
bottle?
A.
bol.co
x
5 6 7 8 9
R.
O B.22
OC.
O D. 2
090
mmo
Answer:
The answer choices are garbled.
Step-by-step explanation:
(18 pints)/(8 bottles) = (9/4) pint/bottle
2 and 1/4 pints per bottle
What is the additive inverse of the complex number –12 4i? –12 – 4i –12 4i 12 – 4i 12 4i
The additive inverse of the complex number -12 + 4i is 12 - 4i
How to determine the additive inverse?The complex number is given as:
-12 + 4i
The additive inverse of a complex number a + bi is -a - bi
This means that the additive inverse of -12 + 4i is 12 - 4i
Hence, the additive inverse of the complex number -12 + 4i is 12 - 4i
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Answer:
It's C
Step-by-step explanation:
1) |x-(-18)| if x<-18
2) |2x| if x<0
3) |x-120| if x<120
The results of the absolute value expressions are:
|x - (-18)| if x < -18 is greater than 0|2x| if x < 0 is greater than 0|x - 120| if x<120 is greater than 0How to solve the absolute value expressionsExpression 1:
We have: |x - (-18)| if x<-18
Open the bracket
|x + 18|
If x < -18, then the values of x are above -18 i.e. -19, -20...
This means that: |x + 18| > 0
Hence, |x - (-18)| if x < -18 is greater than 0
Expression 2:
We have: |2x| if x < 0
If x < 0, then the above equation would be greater than 0
Hence, |2x| if x < 0 is greater than 0
Expression 3:
We have: |x - 120| if x<120
If x < 120, then the values of x are less 120 i.e. 119, 118...
This means that: |x - 120| > 0
Hence, |x - 120| if x<120 is greater than 0
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A straight angle equals 180 degrees is true or false?
Answer:
True
Step-by-step explanation:
Straight angles are straight lines which equal 180 degrees
Answer:
true it is equals 180 for that angle
4 meters to 100 centimeters
Answer:
This is incorrect because 1 meter is 100 centimeters. But then when you keep going and when you get to 4 meters, you would get 400.
For example:
1 meter - 100 centimeters
2 meters - 200 centimeters
3 meters - 300 centimeters
4 meters - 400 centimeters
Hope this helps!
89. 70 is what percent of 350?
Step-by-step explanation:
100% = 350
1% = 100%/100 = 350/100 = 3.5
how many % are 70 ? well, as many as often 1% fits into 70 :
70/3.5 = 20%