The table is shaped like a trapezoid. The sum of the lengths of both bases is 90 inches. The area is
1,170 square inches. Write an equation to find the height of the table.
HELPP
Answer:
Step-by-step explanation:
Formula (Normal Area Trapezoid)
A = (b1 + b2 ) * h / 2
Formula (Trapezoid Modified for the question)
b1 + b2 is given as 90
Area = 90*h / 2
Givens
b1 + b2 = 90
Area = 1170
h = ?
Solution
Area = 90 * h / 2 Substitute the givens into the formula
1170 = 90 * h/ 2 Divide by 2 on the right.
1170 = 45 * h Divide both sides by 45
1170 / 45 = 45 * h/45
Answer: h = 45 inches.
find p if t=6 years , r=12% and I=$240
Answer:
the future value would be 473.72 if p is referring to future value
if p is referring to present value it is 121.59
if p is referring to payment it is 58.37
Step-by-step explanation:
you can use spreadsheets to solve this equation using =pmt/=fv/=pv
Step-by-step explanation:
[tex]s .i = \frac{prt}{100} [/tex]
[tex]240 = p \times \frac{12}{100} \times 6[/tex]
[tex]240 = \frac{18}{25} p[/tex]
[tex]240 \div \frac{18}{25} = p[/tex]
[tex]p = 333.3333[/tex]
Which shows the correct solution to the inequality StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p? StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p less-than-or-equal-to negative 1 and StartFraction 3 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p greater-than-or-equal-to negative 1 and StartFraction 3 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p less-than-or-equal-to negative StartFraction 37 over 40 EndFraction. StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 7 over 10 EndFraction minus 1 and StartFraction 5 over 8 EndFraction greater-than-or-equal-to 1 and StartFraction 5 over 8 EndFraction minus 1 and StartFraction 5 over 8 EndFraction + p. StartFraction 28 over 40 EndFraction minus 1 and StartFraction 25 over 40 EndFraction greater-than-or-equal-to p. p greater-than-or-equal-to negative StartFraction 37 over 40 EndFraction.
Answer:
The answer is C
Step-by-step explanation:
In Texas, the average number of tornadoes in May was about 154% of the average number of tornadoes in April. Write and solve a proportion to find the average number of tornadoes that occurred in April.
The table of the average number of tornadoes is an illustration of proportions
The average number of tornadoes in April is 28
How to determine the average number of tornadoes in April?From the table, we have:
Average number of tornadoes in May in Texas = 43
From the question, we have:
May = 154% * April
This gives
43 = 154% * April
Express as decimal
43 = 1.54 * April
Divide both sides by 1.54
April = 27.9
Approximate
April = 28
Hence, the average number of tornadoes in April is 28
Read more about proportions at:
https://brainly.com/question/18437927
how do i find the vertex of y= -4x^2-16x+1 ?
Answer:
(-2, 17)
Step-by-step explanation:
the first step you can do to find the vertex is to find the axis of symmetry
the equation for that is -b/2a
-(16) / 2(-4)
-16 / 8 = -2
the axis of symmetry is x =-2 so you plug in -2 to the equation
-4(-2)^2 - 16(-2) + 1
-4(4) + 32 + 1
-16 + 33
17
the vertex is (-2, 17)
What is the scale factor of this dilation?
Answer:
I am not sure but I thing it is -2.
Step-by-step explanation:
Hope it helps! (Please mark brainliest if it does!)
1.6667
Step-by-step explanation:
the lengths are the same on both sides which makes the triangles equilateral
therefore the scale=5/3
=1.6667
Wyatt walks
3
miles each day for
6
days.
Aaliyah walks
4
1
2
miles each day for
6
days.
How many more miles will Aaliyah walk in
6
days than Wyatt?
Haven baskets manufacturers 83,575 woven baskets a year. determine the minimum sales price Haven baskets must sell each basket for to break even, if the total annual fixed costs are $817,363.50 and the variable cost per basket is $12.17.
$21.95
$24.50
$29.65
$31.25
Answer:
Step-by-step explanation:
Givens
Number of baskets sold = 83575
sale price of each = x
Fixed Cost of producing these baskets = 817363.50
Variable cost whis is part of the production of each basket = 12.17
Break Even means the costs = income.
Equation
83575*x = 12.17*83575 + 817363.50 Combine the multiplied facts
Solution
83575x = 1017107.75 + 817363.50 Combine addition on right
83575x = 1834471.25 Divide by 83575
x = 1834471.25/83575
Answer: x = 21.95
Which expression is equivalent to 23−14x+12x−16?
The Answer is
7 - 2x
Step-by-step explanation:
23 -14x + 12x - 16
(23 - 16) + (-14x + 12x)
= 7 - 2x
hope this help a'lot
The expression equivalent to 23−14x+12x−16 is 7 - 2x
How to find equivalent expressions?Here we simply take our expression to simplify it.
We start with:
23−14x+12x−16
First, we combine all the terms having x and combine other constant values.
(23 - 16) + (-14x + 12x)
Now we solve the two parts of the above expression we will get,
7 + (- 2x)
Simplifying we get,
7 - 2x
Therefore the equivalent expression is 7 - 2x
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3. Write 6x - 2y = 0 in slope-intercept form, if possible.
Answer:
y=3x
Step-by-step explanation:
Answer:
y = 3x
Step-by-step explanation:
subtract 6x to the other side
divide by -2
there is no y-intercept because it's 0
Please help me with this!
What is the distance between ( − 2 , − 4 ) and ( 5 , 7 ) ? Use the distance formula, d = √ ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 .
4.24
6.32
10.25
13.03
Answer:
13.03
Step-by-step explanation:
Suppose ( x₁ , y₁ ) = ( − 2 , − 4 ) and (x₂ , y₂ ) = (5 , 7)
In the formula : d = √ [( x₂− x₁ )² + ( y₂ − y₁ )²]
Just replace x₁ by -2
replace y₁ by -4
replace x₂ by 5
replace y₂ by 7
We get ,
d = √ [( 5− (-2) )² + ( 7 − (-4) )²]
Then
d = √ [(7 )² + ( 11 )²]
d = √ [49 + 121]
d = √ [170]
≈ 13.03
HELP I NEED IT
NO LINKS!!
Answer:
option c
Step-by-step explanation:
Area of triangle:
a = 2 and c = 3
base = 6ac²
= 6 *2 * 3 * 3
= 108 cm
height = base + 3
= 108 + 3
= 111 cm
[tex]\boxed{\text{Area of a triangle = $ \dfrac{1}{2}*base*height$}}[/tex]
[tex]=\dfrac{1}{2}*108*111\\\\\\= 54*111\\\\=5994 \ cm^{2}[/tex]
Answer:
5,994 cm²
Step-by-step explanation:
Formula
Area of the triangle = 1/2 x base length x heightGiven
Base length = 6ac² cmHeight = 6ac² + 3 cma = 2c = 3Solving
Area = 1/2 x 6ac² x (6ac² + 3)Area = 1/2 x 36a²c⁴ + 18ac²Area = 9ac² (2ac² + 1)Substitute the values of a and c⇒ Area = 9 x 2 x 3² (2 x 2 x 3² + 1)⇒ Area = 162 (36 + 1)⇒ Area = 162 x 37⇒ Area = 5,994 cm²find a, b, and c please and thank u
What is the distance between (4, 6) and (4, -1)?
O 7 units
O 5 units
O 4 units
O I don't know.
Answer:
7 units
Step-by-step explanation:
[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
[tex]d=\sqrt{(4-4)^2+(-1-6)^2}[/tex]
[tex]d=\sqrt{(0)^2+(-7)^2}[/tex]
[tex]d=\sqrt{49}=7[/tex]
Distance = 7 units
I hope this helps!
Which object would weigh closest to 1 ton? A.Car B.Toothbrush C.Notebook D.Dog
find the value of x
16
65
25
108
Answer: 16
Step-by-step explanation:
PLEASE HELP 20 POINTS AND BRAINLIEST TO WHOEVER ANSWERS FIRST
sketch the region enclosed by the lines x=0 x=6 y=2 and y=6 find the area of the region
Answer:
24 units²
Step-by-step explanation:
Given:
Region enclosed by the line x = 0, x = 6, y = 2 and y = 6.To find:
SketchAreaThe area enclosed by these lines can be expressed as:
[tex]\displaystyle \large{\int_0^6 \int_2^6 dy dx }[/tex]
For:
[tex]\displaystyle \large{\int_2^6 dy}[/tex]
Recall:
[tex]\displaystyle \large{\int_a^b dy = [y]_b^a = a-b}[/tex]
Therefore:
[tex]\displaystyle \large{\int_2^6 dy = [y]_2^6 = 6-2 = 4}[/tex]
Now we we have:
[tex]\displaystyle \large{\int_0^6 4dx}[/tex]
Recall:
[tex]\displaystyle \large{\int_a^bk dx = [kx]_a^b = kb-ka}[/tex]
for k = constant
Therefore:
[tex]\displaystyle \large{\int_0^6 4 dx = [4x]_0^6 = 4(6)-4(0) = 24}[/tex]
Hence, the area of region is 24 units²
Use the GCF to factor 9x+54
9(x+6)
Solution:The GCF stands for Greatest Common Factor.We need to factor out the GCF of this binomial (expression with two terms)In order to factor out the GCF, we need to divide both terms by the GCF and place it outside the parentheses, like so:9x+549x÷9=x54÷9=6x+69(x+6)Hope it helps.
Do comment if you have any query.
if ey/n + k = t, what is y in terms of e, n, k, and t?
1) y= tn+k/e
2) y= tn-k/e
3) y= n(t+k)/e
4) y= n(t-k)/e
Answer:
option 4
Step-by-step explanation:
To write in terms of y
Step 1: subtract k from both sides
[tex]\sf \dfrac{ey}{n} + k - k = t -k\\\\\\\dfrac{ey}{n}=t-k[/tex]
Step 2: Multiply the entire equation by n
[tex]\sf n*\dfrac{ey}{n}=n*(t-k)\\\\\\ey=n(t-k)[/tex]
Step 3: Divide the entire equation by 'e'
[tex]\sf \dfrac{ey}{e}=\dfrac{n(t-k)}{e}\\\\\\\boxed{y =\dfrac{n(t-k)}{e}}[/tex]
what is the total EXACT area of the composite figure made up of two triangles, a rectangle, and a semicircle.
Answer:
637
Step-by-step explanation:
rectangle =
12*16*2 = 384
triangle = 12*16/2
= 96
semi circle = pie*hyp^2/2
= pie * (sqrt(12^2+16^2))^2/2
=157
PLEASE ANSWER WITH SOLUTION PLS
1. A student scored 235 marks in the examination out of 300 marks. Calculate the percentage of marks secured by the student.
2. In an election, Magie N. Hawa got 70% of the total valid votes. If 15% of the total votes were declared invalid and the total numbers of votes is 560, find the number of valid vote polled in favour of Magie N. Hawa.
3. there are 108 girls in a school. 70% of the pupils in the school are boys. How many pupils are there in the school altogether?
Answer:
See below ↓
Step-by-step explanation:
1.
Score of the student on examination = marks scored / total marksScore = 235/300 [Divide throughout by 5]Score = 47/60 [Using long division, approximate to tenths place]Score = 0.783 [Multiply with 100 to convert decimals → percentage]Score = 78.3%2.
Total valid votes = 560 x (100 - 15)%Total valid votes = 560 x 0.85Total valid votes = 476Votes for Magie N. Hawa = 476 x 70%Votes for Magie N. Hawa = 333.2 ≅ 333 votes3.
108 girls = (100 - 70)% of pupils108 / 0.3 = number of pupils360 pupilsEstimate the value of 96.8 x 9.74
Answer:
1000
Step-by-step explanation:
Let's round!
96.8 can be rounded to 100
9.74 can be rounded to 10
100*10=1000
Hope this helps!
The estimated value of the given product is 970. The given product is (96.8×9.74). This is obtained by using the rounding-off method.
What is estimation?Estimating means finding something close to the actual answer. In other words, it is approximating.Estimating decimal products involves many strategies.General strategy is rounding-off to the nearest value method.Estimating the given product:The given product is (96.8×9.74)
Here the first decimal number in the product is 96.8
Since the digit after the decimal point 8 is nearer to the value of 10, it is rounded to 97. I.e., 96.8≅97
And the second decimal number is 9.74
Since the digit after the decimal 7is nearer to the value of 10, it is rounded to 10. I.e., 9.74≅10
So, the product is 97×10=970
Thus, 96.8×9.74≅970 (approx.)
Therefore, the estimated value is 970.
Learn more about estimation here:
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“Use distributive property to rewrite each expression.”
3(a + 10)
Answer:
The answer is
3a+30
Step-by-step explanation:
I hope this helped
Please use the picture I provided to help me answer the questions:)
Answer:
Let x = time in minutes
Let y = water in ounces
Part A
If the water drips at a constant rate of 2 ounces per 5 minutes, then
x = 0, y = 0
x = 10, y = 4
x = 20, y = 8
Part B
Graph is attached.
Please note that the scales on the y and x axes are different.
Part C
[tex]\sf y=\dfrac25x[/tex]
-1/5 = w - 4/5 whats the value of w
[tex]w = \frac{3}{5} [/tex]
A textbook store sold a combined total of 255 sociology and physiology textbooks in a week. The number of sociology textbooks sold was two times the number of physiology textbooks sold. How many textbooks of each type were sold?
Answer:
75 physiology Textbook was sold and 150 sociology textbook was sold
Step-by-step explanation:
Let x represent textbook
2x + x = 225
⇒3x = 225
⇒[tex] \sf \frac{\sout{3}x}{\sout{3}} = \frac{225}{3}[/tex]
⇒x = 75
75 textbooks for physiology
To find How many textbook for sociology
Multiply 2 by the amount of physiology
⇒2 × 75
⇒150 sociology textbook
Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!!!
IMAGE DOWN BELOW!!
You text your friend for 15 minutes on friday night and for 25 minutes on saturday night. what is the percent of increase? (round to nearest whole percent)
Answer:
66%
Step-by-step explanation:
This doesn't really require any equations, it's just brain work.
15 can be easily divided into 3 parts, each part consisting of 5 units. Here, it will be 5 minutes, then, if it's 5 minutes for each 33%(this number is rounded), then, that means that for 10 minutes, it will be 66%. You can understand this because the amount of increase in minutes is 10 minutes, and if each 5 minutes = 33% of increase, then 33+33=66, so hence, our answer is 66%.
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Write a second equation for the system so it has infinitely many solutions.
Write a second equation whose graph goes through (0,2) so that the system has no solutions.
Write a second equation whose graph goes through (2,2) so that the system has one solution at (4,3).
Answer:
See below ↓
Step-by-step explanation:
Our equation :
y = 3/2x - 3(A) Infinitely Many Solutions
y = 3/2x - 3The slope and y-intercept have to be equal in order for it to have infinitely many solutions(B) No solution
y = 3/2x + 1The slope has to be equal and the y-intercept has to be different in order for it to have no solution(C) One solution at (4, 3)
x has to equal 4y = 3/2x - 3 and y = 2x - 1In both of these equations, (4, 3) is a solutiona certain number is added to 6 and then divided by 10. The result is 3. Find the number
Answer:
let the number be x.
(x+6)/10 = 3
x+6 = 30
x =24