find the area of this trapezoid. Include the correct unit in your answer.
I need help understanding this and how to do it :)
Answers
Answer:
[tex] \displaystyle A _{ \text{trapezoid}} = 70 {m}^{2} [/tex]
Step-by-step explanation:
we are given a trapezoid
we want to figure out the area
remember that,
[tex] \displaystyle A _{ \text{trapezoid}} = \frac{a + b}{2} h[/tex]
where a and b represent the parallel lines and h represents the height
we get from the pic that a and b are 5 and 15 respectively and h is 7
so substitute:
[tex] \displaystyle A _{ \text{trapezoid}} = \frac{5 + 15}{2} \times 7[/tex]
simplify addition:
[tex] \displaystyle A _{ \text{trapezoid}} = \frac{20}{2} \times 7[/tex]
simplify division:
[tex] \displaystyle A _{ \text{trapezoid}} = 10\times 7[/tex]
simplify multiplication:
[tex] \displaystyle A _{ \text{trapezoid}} = 70[/tex]
since we multiply two same units we of course have to use square unit
hence,
[tex] \displaystyle A _{ \text{trapezoid}} = 70 {m}^{2} [/tex]
Related Questions
In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic
inches. What is the ratio of their diameters?
2:3
413.5
2:9
4:13.5
Answers
Answer:
2:3
Step-by-step explanation:
V = 4/3*pi*r^3
Diameter = 2r
The ratio of diameters of the two planets has volumes of 8 cubic inches and 27 cubic will be 2/3.
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other such that they should not be divisible.
The upper number is called as the numerator and the lower is called the denominator.
For example, 3/4 where 3 will be numerator and 4 will be denominator.
Given that the In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic.
Now volume of planets(sphere) = πD³/6 where D is diameter of sphere
So volume of first planet / volume of second planet ∝ (dia or first)³/(dia of second)³
⇒ V₁/V₂ ∝ (D₁/D₂)³
Given that V₁/V₂ = 8/27
So 8/27 = (D₁/D₂)³
D₁/D₂ = 2/3
Hence, the ratio of diameters of two planets will be 2/3.
Learn more about Ratio here:
brainly.com/question/1504221
#SPJ2
A line is parallel to the line y=-2/3x+1 and it passes through the point (4,-1). Determine the slope of the line.
A) m=2/3
B)m=-3/2
C)m=-2/3
D)m= 3/2
Answers
Answer:
C) m=-2/3
Step-by-step explanation:
Parallel slope means it'll be the same.
m = -2/3
Stuck on this question. Any help?
Answers
Answer:
no 5 7 6
Step-by-step explanation:
Find the area of the shade region.round to the nearest tenth
Answers
Answer:
189.25
Step-by-step explanation:
first you find the area of the entire circle which is π times (14.5) squared so 210.25π. then you find the triangle which is 1/2 20×21= 21 then subtract 210.25π by 21= 189.25
Answer:
450.5 in²
Step-by-step explanation:
The area of the triangle
= (20×21)/2
= 210 in²
The hypotenuse of the triangle
=[tex] \sqrt{ {20}^{2} + {21}^{2} } [/tex]
=[tex] \sqrt{400 + 441} [/tex]
=[tex] \sqrt{841} [/tex]
= 29 in
The hypotenuse of the triangle (29 in)
= the diameter of the circle
The formula of area of a circle= πr²
The radius of the circle
= 29÷2
= 14.5 in
The area of the circle
= π × 14.5²
= 660.5 in² (rounded to the nearest tenth)
The area of the shaded region
= 660.5 - 210
= 450.5 in²
write a quadratic equation in the form x^2+bx+c=0 that has the following roots: {-7,6}
Answers
Answer:
f(x) = x^2 -12x + 85
reverse engineer this, like Prof. Sheldon Cooper figuring out Howard's card trick
x=6+or - 7i
x-6 = + or - 7i
square both sides
(x-6)^2 = -49
x^2 -12x + 36 = -49
x^2 -12 + 85
What is the volume of the figure? Enter the answer in the box
Answers
Answer:
896
Step-by-step explanation:
Answer:
(10 × 4 × 18) + ( 9 × 10 × 9 ) = 1530
Not sure what the answer is?
Answers
Answer:
I think you are correct
hope it is helpful to you ☺️☺️☺️☺️
Answer:
O think you are correct . answer is 18 only.......
Step-by-step explanation:
Hope it helps you
E = (2a + 3b + 2) + (3a + 5b - 1) + (2a - 2b)
Answers
Answer:
7a+6b+1
...............
Answer:
7a+6b+1
Step-by-step explanation:
2a+3b+2+3a+5b-1+2a-2b=7a+6b+1
Combine like termsUse this fact:(+)×(+)=+ (-)×(-)=+
(+)×(-)=- (-)×(+)=-
In January, Mrs. Jones’s business had expenses that totaled $2,500. Based on the information in the graph, how much money did Mrs. Jones spend on marketing in January?
Answers
Answer:
$375
Step-by-step explanation:
(1 point) Rewrite the logarithmic expression \log(A\sqrt{B}) \log(A^2) in equivalent logarithmic form. There may be more than one correct answer. A. \log(A) - 2\log(B) \log(A^2) B. \frac{\log(A)\log(B)}{2} 2\log(A) C. \log(A) \frac{1}{2}\log(B) \log(A^2) D. \log(A^{3}) \frac{1}{2}\log(B) E. 3\log(A) \frac{1}{2}\log(B) F. \log(A^3\sqrt{B}) G. None of the above
Answers
Answer:
Step-by-step explanation:
Answer:
C.D.E.F
Step-by-step explanation:
log(A\sqrt{B}) \log(A^2)
A. \log(A) - 2\log(B) \log(A^2)
Answer A is wrong because sqrt is denoted by 1/2 and the coefficient of log B is 2 not 1/2
B. \frac{\log(A)\log(B)}{2} 2\log(A)
Answer B is wrong because 2 is multiplied by B instead of 1/2
C.\log(A) \frac{1}{2}\log(B) \log(A^2)
Answer C is correct because 1/2 is multiplied by log B
D. \log(A^{3}) \frac{1}{2}\log(B)
Answer D is also correct because 1/2 is multiplied by log B
E. 3\log(A) \frac{1}{2}\log(B)
Answer E is also correct because 3 is co efficient of log A
F. \log(A^3\sqrt{B})
This is correct. Here the log is applied to the given fraction
What is the slope of the line given by the equation y=-3X?
Answers
Answer:
The slope is -3
Step-by-step explanation:
y=mx+b
m=slope
m=-3
slope=-3
hope this helps!
A and B are similar solid cylinders base area of A : base area of B = 9 : 25
complete these ratios
curved surface area of A : curved surface area of B : = ? : ?
height of A : height of B = ? : ?
Answers
Answer:
Two figures are similar if the figures have the same shape but different sizes.
Then if we have two figures X and X'
Such that one dimension of X is D, the correspondent dimension on X' will be:
D' = k*D
Such that k is the scale factor that relates the figures.
1:k
Because all the dimensions will be rescaled by the same scale factor k, we can conclude that any surface on X will be related to the same surface in X' by:
S' = k^2*S
then the ratio of the surfaces is:
1:k^2
While the relation between the volumes will be:
V' = k^3*V
Here the ratio is:
1:k^3
Ok, in this case we have two cylinders
We know that the ratio between the base area ( a surface) is:
9:25
a) We want to find the ratio: curved surface area of A : curved surface area of B
Because again we have a surface area, the ratio should be exactly the same as before, 9:25
b) height of A : height of B
In this case, we have a single dimension.
Because in the rescaling of a surface we need to use k^2, then we can conclude that the ratios:
9:25
is related to k^2
Then the ratio, in this case, is given by applying the square root to both sides of the previous ratio, so we get:
√9:√25
3:5
This is the ratio of the heights.
Also from this we could get the value of k, that is the right value when we leave the left value equal to 1, we can get that if we divide both sides by 3.
(3/3):(5/3)
1:(5/3)
Then:
k = 5/3
Which of the following functions has a line of symmetry of x = 2?
y = (x - 2)2 + 5
y = (x + 2)2 - 5
y = (x - 5)2 + 2
y = (x + 5)2 - 2
Answers
What is 24 – 6х3+52 - (16+ 2)?
ОА.
9
ОВ.
23
Ос.
71
OD.
496
Answers
Answer:
40
Step-by-step explanation:
24 – 6х3+52 - (16+ 2)
PEMDAS states we do the paranthesis 1st
24 – 6 х 3 + 52 - (18)
Next, we do the multiplication
24 - 18 + 52 - 18
Since it's just adding & subtracting, we go from left to right
40
Mary works as a gardener. on her last job she charged $60 for plants and $500 for 20 hoursof work. The equations represent the total price y, charged by different gardeners after x hours of work.
Answers
Answer:
28 hours
Step-by-step explanation:
Which of the following is an angle subtraction postulate that can be derived from the angle addition postulate m∠QRS + m∠RST = m∠QRT?
Question 7 options:
A)
m∠RST = m∠QRT – m∠QRS
B)
m∠QRT = m∠RST – m∠QRS
C)
m∠QRS = m∠RST – m∠QRT
D)
m∠QRS = m∠RST
Answers
Write 53 minutes to 4 hours as a ratio.
Answers
Answer:
The minutes wouldn't it be hours?
Step-by-step explanation:
Answer:
53:240
Step-by-step explanation:
Turn the hours into minutes since the minutes can't change to hours.
What is the factored form of 30x2 - 25x -30?
Answers
Answer:
Step-by-step explanation:
Here are some steps to help you
Step 1
30x2 - 25x -30 Factoring
Step 2
30x2 - 25x -30 factor out the equation
5(3x+2)(2x-3)
Step 3
5(3x+2)(2x-3) Check by simplifying
When you check, you will get the question back
Answer
5(3x+2)(2x-3)
Hope this helps
PLA ANWSERRR ITS EASY BUT PLS SHOW WORKKKK
Answers
Answer:
200 lbs
Step-by-step explanation:
Divide the total cost of the two books which is 50 by the current price for aluminum which is 0.25.
50/0.25=200
1. What is the m 2 in this parallelogram?
a) 115
b) 50
C) 15
d) 2
( IF I CAN ANSWER BOTH PLS DO )
Answers
Answer:
☂ [tex] \underline{ \underline{ \large{ \tt{For \: Question \: Number \: 1}} }}: [/tex]
[tex] \large{ \tt{ \angle \: DAC = \angle ACB = 50 \degree }}[/tex] { Since AD [tex] \parallel[/tex] BC & Being alternate angle }♨ [tex] \large{ \tt{ In \: \triangle \: ABC : }}[/tex]
[tex] \large{ \tt{ \angle \: CAB+ \angle \: ABC + \angle \: ACB = 180 \degree}}[/tex] { Sum of angles of a triangle }
⇾ [tex] \large \tt \: \angle \: CAB + 115 \degree + 50 \degree = 180 \degree[/tex]
⇾ [tex] \large{ \tt{ m \: \angle2 = 180 \degree - 165 \degree}}[/tex]
⇾ [tex] \large{ \boxed{ \tt{ m \angle \: 2 = 15 \degree}}}[/tex]
☂ [tex] \underline{ \underline{ \large{ \tt{For \: Question \:Number \: 2}}}}: [/tex]
♨ [tex] \large{ \tt{3x = 12}}[/tex] { Since the diagonals of parallelogram bisect each other }
⟶ [tex] \large{ \tt{x = \frac{12}{3}}} [/tex]
⟶ [tex] \large{ \boxed{ \tt{x = 4}}}[/tex]
Q. Can we set up an equation 2x = 8 in question number 2 ?
Ans : Yep! Since the diagonals of parallelogram bisect each other , you can :) When we solve 2x = 8 , we obviously get x = 4.
Hope I helped! ♡
Have a wonderful day / night ! ツ
[tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] !
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
C. 15
D. 4
Step-by-step explanation:
Hope this helps
Can you please help me I will give you 10 points if you do
Answers
Answer:
A=-1, B=2
Step-by-step explanation:
A is between -2 and 0, which is -1, and B is between 1 and 3, which is 2
The table below represents students' favorite skittle color.
Using the table above, what is P( Boy|Green)?
6/17
4/17
2/3
3/20
Answers
Answer:
6/17
Step-by-step explanation:
number of boys who like green over total number of boys :
[tex] \frac{12}{34?} [/tex]
6/17
What is the solution to the equation -x^3-4=0.5x^2+x+4
Answers
Answer:
x = −2
Step-by-step explanation:
the steps are super long but this is the answer
I need help please no links I will report
Answers
Answer: $1.45
Step-by-step explanation:
We start by subtracting the change from how much she payed for.
d = dollars | g = goldfish
[tex]16d - 0.05d = 15.95d[/tex]
Then we divide by the goldfish
[tex]\frac{15.95d}{11g} = 1.45d[/tex]
Our answer is 1.45!
Also, warning, the people who go into the comments saying to download something from bitly, do not do it. They are viruses and will not get the answer, please only report their answer and ignore them.
Four friends were born in consecutive years. The sum of their ages is 62.
What is the age of the oldest friend?
Answers
Answer:
4+62=66
Step-by-step explanation:
what is the distance between (8,-3) and (4,-7)
Answers
..I have tried
I don't know it is correct or not
hope it is helpful to you
Answer:
My sister has given correct answerHelppppp! What is the value of 5^3i^9
Answers
Answer:
125i.
Step-by-step explanation:
5^3 is 125 i^2 is -1 so i^8 is positive and you have 1 i left.
PLZ HELP THIS IS DUE TODAY AND PLZ NO LINKS
Answers
Answer:
A. Stripped of things that cause pollutions
Step-by-step explanation:
You can find this in the last section 3rd sentence
Choose the sentence that is out of sequence.
Mary Jo began reading The Alphabet Book.
Mother put Jimmy to bed.
Jimmy helped read.
Jimmy fell asleep.
Answers
Answer:
C.
Step-by-step explanation:
Von de som en bona pays 1. West End the stor 10 years when it is
The balance after 10 years is $
Answers
Answer:
10$
Step-by-step explanation: