If the area of the trapezoid shown is 200 square feet, what is the height h of the trapezoid?
Answers
Answer:
[tex]\frac{400}{(10\sqrt{2} + 14\sqrt{3}) }= h[/tex] or 10.42 = h
Step-by-step explanation:
The area of a trapezoid is [tex]A = \frac{1}{2}h(b_{1} + b_{2} )[/tex].
[tex]200 = \frac{1}{2}h(10\sqrt{2} + 14\sqrt{3})[/tex]
[tex]400 = { h(10\sqrt{2} + 14\sqrt{3} )[/tex] Multiply both sides by 2
[tex]\frac{400}{(10\sqrt{2} + 14\sqrt{3}) }= h[/tex]
[tex]\frac{400}{38.39} = h[/tex]
10.42 = h
Related Questions
{1, 2, 3, 4, 5, ..., 198, 199, 200}
How many members of the set shown above are multiples of 6 but not a multiple of 9?
(I need a faster way of doing this question. Not listing the factors of 6 and 9 one by one.)
Thank you so much. I will give brainliest!!!
Answers
Answer:
22
Step-by-step explanation:
The least common multiple of 6 and 9 is 18. Consider a group of 18 numbers, 1–18, for example. The multiples of 6 are 6, 12, and 18, of which two are not multiples of 9.
There are 11 groups of 18 numbers in 1–200, with 2 left over. That means there will be 11×2 = 22 numbers that are multiples of 6 but not 9.
__
200/18 = 11 remainder 2
PLEASE HELP!
Your class hopes to collect at least 325 of food for the annual food drive. There were 135 cans donated the first week and 89 more the second week.
Part 1: Write an equation that describes this situation. Let c represent the number of cans of food that must be collected by the end of the third week for your class to meet or surpass its goal.
Part 2: How many cans are needed to meet or surpass the goal?
Answers
Answer:
Part 1. 325 - (135 + 89) = c
Part 2. ≤ 101
Step-by-step explanation:
Brainliest Please!
Khaled is preparing to paint his room. If it would take three workers 8 hours to apply two coats of
paint, how long would it take four workers to apply one coat of paint?
Answers
Answer:
20 minutes
Step-by-step explanation:
hope it helps u
plzz plzz plzz mark as brainliest
Answer: 3 hours
Step-by-step explanation:
To solve this problem, utilize something called the unit rate.
Because it takes three workers(x) 8 hours to apply two coats of paint, simply write: x/3 = 8 ÷ 2.
x/3 = 4
x = 4 * 3
x = 12
Thus, it takes one worker 12 hours, or 720 minutes to apply one coat of paint. Thus, because the number of workers is multiplied by 4, divide the time spent by 4, to get 3 hours, or 180 minutes.
Hope it helps :) and let me know if you want me to elaborate.
N.B. This is an inverse relationship, as when the number of workers increases, the amount of time decreases.
6.
Write an equation you can solve to answer each problem.
Solve each equation.
a) Ruby has 27 pages of stamps in her collection.
Zachary has 8 fewer pages than Ruby.
How many pages of stamps does Zachary have?
b) Nemo has 3 times as many DVDs as Ashley.
Ashley has 16 DVDs.
How many DVDs does Nemo have?
c) Adrian walked 19 km less than Sheba.
Sheba walked 35 km.
How far did Adrian walk?
Answers
Answer:
a) 27 - 8= 19 pages of stamps
b) 16 × 3 = 48 DVDs
c) 35km - 19km = 16km
Kate bought 5 pounds of hamburger and 2 pounds of hotdogs and paid $28.50. Eric bought half the amount of hamburger and a fourth of the amount of hotdogs that Kate did and paid $12.50. Find the cost per pound of hamburgers and hotdogs.
This is a system of equations
Answers
Answer:
hamburgers - $4.30 hotdogs- $3.50
The required cost of a hamburger and a hotdog is $4.3 and $3.5 respectively.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
here,
Let the cost of the hamburger be x and the cost of hotdogs be y.
According to the quesiton,
5x + 2y = 28.50 - - - - (1)
5x /2 + 2y / 4 = 12.50
10x + 2y = 50 - - - -(2)
From equation 1 and 2
5x = 21.5
X = $4.3
Now,
5×4.3 + 2y = 28.50
y = 7 / 2
y = $3.5
Thus, the required cost of hamburgers and hotdogs is $4.3 and $3.5 respectively.
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
#SPJ2
2x+5+2x+3x in One sloution, and no solution.
Answers
- BRAINLIEST answerer
Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to
deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to
her starting point?
0-12
O-1
05
7
Mark this and return
Save and Exit
Next
Submit
Answers
35,000 is invested at 5% compound interest.What is the interest at the end of three years
Answers
Answer:
$40,516.86
Step-by-step explanation:
start by taking 35,000 and multiplying it by 0.05 to get 5% of the number. then add that number (1,750) to the original 35,000 and you should get 36,750. this would be the first year. Then multiply 36,750 by 0.05 again and add that number (1837.5) to the original 36,750 and you should get 38,587.5. Finally multiply that by 0.05 and add that number (1,929.375) to the original 38,587.5 and you should get 40516.875. Round to the hundredths since it is money.
WHAT IS THE AREA OF THE FIGURE BELOW? 8 units. 9 units. 10 units. 12 units.
Sorry, I can't upload the picture so If you know the answer you can tell me.
Answers
Answer:
8
Step-by-step explanation: 6 (half the perimeter). By truial and error, 2 units by 4 units.
The Smiths spend 6% of their budget on entertainment. Their total budget this year is $2,000 more than last year, and this year they plan to spend $2,880 on entertainment. What was their total budget last year?
Answers
Answer:
Total budget this year = $ 2000 more than last year. Let x = Budget for this year. Money on entertainment = 0.06x = 2760. ⇒ Budget for this ...
Step-by-step explanation:
y = -7x - 21
What is the slope of this equation and what is the Y intercept.
Answers
Answer:
Slope is -7
Y intercept = -21
Step-by-step explanation:
The equation is Y=mx+b
M is the slope so -7 would equal the slope
B is where your Y- intercept already is so that would equal -21
Suppose that there are 500 students in the school about how many of them study between 4.2 and 5.8
Answers
A coach purchased a soccer ball for each of his 18 players. If each soccer ball cost $12.99, how much did the coach spend before sales tax was added?
Answers
Answer:
$233.82
Step-by-step explanation:
$12.99 a ball times 18 players (12.99x18) equals 233.82$
Two trains, Train A and Train B, weigh a total of 557 tons. Train A is heavier than Train B. The difference of their weights is 371 tons. What is the weight of each train?
Answers
Answer:
A=464
B=93
Step-by-step explanation:
A+B=557
A-B=371
Solving the two equations simultaneously gives A=464 and B=93
Combine Like Terms:
7X + 3M - 2(2X + 8) + 24 + 8M - X
so hard
Answers
Answer:
11M + 2X + 8
Step-by-step explanation:
Hope this helps!! :))
Answer:
11M + 2x + 8
I did the math
it rights tho
100 POINTS!! WILL MARK BRAINLIEST
NEED RESPONSE ASAP PLEASE AND THANK YOU!!
Consider the function f (x) = 3x^3 + 10x^2 - 13x - 20
(a) Determine the x-intercepts of f (x)
(b) Determine the y-intercepts of f (x)
(c) Identify a point in between each of the x-intercepts of f(x)
(d) Determine the end behavior of f (x)
(e) Use the points and end behavior from parts (a) - (d) to graph f (x)
Label the scale of each axis.
All help is greatly appreciated!
Answers
B) (0, -20)
C) In between (-4, 0) and (-1, 0) is (-3, 0) and in between (-1, 0) and (1.667, 0) is (0, 0)
D) in the right end of the x-axis, x approaches +∞. And in the left end of the x-axis, x approaches −∞.
E) (Is shown in the image)
Which component is missing from the researcher’s process?
A.
B.
C.
D.
Answers
Answer:
It is B I believe, if not it's you're fault for not putting the choices...
f(x)=-3x^2 find f(-2)
Answers
Answer:
12
Step-by-step explanation:
f(-2)=3(-2)^2
f(-2)=3(4)
f(-2)=12
A rhombus is a special parallelogram. Which are true about a rhombus that is not true about all parallelograms? Pick up to 3 answers. A. Diagonals create a right angle where they interesect B. All sides are congruent C. Diagonals bisect vertex angles D. Diagonals are congruent E. Opposite angles are congruent
Answers
The statement that is true about a rhombus that is not true about all parallelograms are as follows;
Diagonals create a right angle where they intersect All sides are congruent Diagonals bisect vertex anglesDiagonals of a rhombus are perpendicular bisector of each other. This means they form a right angle where they intersect.
This is not true for parallelograms. The diagonal only bisects each other.
All sides are congruent for a rhombus .
This is not true for a parallelogram. Only opposite sides are congruent for a parallelogram.
The diagonal bisect the vertex angles of the rhombus.
This is not true for a parallelogram.
read more: https://brainly.com/question/4165249?referrer=searchResults
plz answer this 20 points
Answers
Explanation: These numbers are in absolute value. Therefore, the absolute value of -8 is actually 8, which makes it greater than the absolute value of 7 in this equation.
A store has 120 customers in 6 hours. what is the unit rate in cumstomers per hour?
Answers
A truck rental is $25 plus $.30/mi. Find out how many miles Ken traveled if his bill was $50.20.
Answers
Lets start by finding the equation.
25 is the constant, .3 is the slope, and 50.2 is the final.
This means that our equation is:
50.2 = .3x + 25
50.2 - 25 = .3x
25.2 = .3x
25.2 / .3 = x
84 = x
This means that Ken travelled 84 miles if his bill was $50.2.
I hope this helps! :)
pls help it’s timed c:
Answers
Answer:
A
Step-by-step explanation:
z1 = 4 - i
z2 = -3 - 2i
z1 - z2 = 4 - i - (-3 - 2i) = 4 + 3 - i + 2i = 7 + i
Answer: A
PLS HELP WILL MARK BRANLIEST ! NO FAKE ANSWERS!!!
Answers
Combined Area Expression:
(36 + x - 2 + x - 2)(20 + x - 2 + x - 2) = (32 + 2x)(16 + 2x)
= 4(16 + x)(8 + x)
Area:
4(16 + 5)(8 + 5) = 4 * 21 * 13
= 1092 m^2
Which statement describes the end behavior of the exponential equation y = 3^x?
A as x -> - ♾ , y -> - ♾
B as x -> - ♾ , y -> 0
C as x - > ♾ , y -> - ♾
Answers
plz help look at the pic below
Answers
Answer:
You can use the exponential rule where
[tex](n^x)^y=n^{xy}[/tex]
Therefore,
[tex](a^3)^{-2}=a^{3*(-2)}=a^{-6}[/tex]
[tex]\\ \rm\leadsto (a^3)^{-2}[/tex]
(a^m)^n=a^mn[tex]\\ \rm\leadsto a^{-6}[/tex]
[tex]\\ \rm\leadsto \dfrac{1}{a^6}[/tex]
2. If triangle ABC is congruent to triangle DEF by SAS, AB=DE,
Answers
Answer:
I can't Respond since I have no picture to help you or me
Step-by-step explanation:
Without the Picture I can't determine if the triangle ABC is congruent to triangle DEF by SAS, AB=DE
round 4,204 to the nearest hundred
Answers
Answer:
4200
hope helpful <3 !!!!!!!!!!!!!
2b - 37 = 152 - 5
Know how to do it but keep getting the wrong answer work this out for me
Answers
2b - 37 = 152 - 5
2b - 37 = 147
2b = 147 + 37
2b = 184
b = 92
the store marked up the shirt by 20% the original shirt cost $40 how much does the new shirt cost
Answers
Answer:
48
Step-by-step explanation:
First find the amount of the markup
40 * 20%
40 *.2
8
Add this to the original price
40+8 = 48