Find the area of the trapezoid.
A) 38.75 in2
B) 77.5 in2
C) 155 in2
D) 198 in2
Answers
To solve this add the two lengths. . .
22 + 9 = 31
Multiply the height and the total. . .
31 x 5 = 155
Divide 155 and 2 . . .
155 divided by 2 = 77.5 <------
The correct answer to your question is option B.
Hope this helps you.
Have a great day!
Answer: The answer is b) 77.5
Step-by-step explanation:
hope i helped
Related Questions
Can anyone help me? Or at least explain how you solved the problem
Answers
Jason takes 2 centiliters of medicine. How many milliliters is this?
Answers
H E L P *-* this is hard ): will give Brainliest !
Answers
1440 tons of grain were brought to a silo over two days. On the second day, 80% of the amount of the grain delivered during the first day was brought in. How many tons of grain were delivered to the silo on the first day?
Answers
Final answer:
To find out how many tons of grain were delivered on the first day, a simple algebraic equation was set up and solved to show that 800 tons were delivered on the first day.
Explanation:
Given that 1440 tons of grain were delivered to a silo over two days, we need to determine the amount delivered on the first day. It was stated that the second day's delivery was 80% of the first day's. Let's represent the first day's delivery as x tons. Therefore, the second day's delivery would be 0.80x tons. The sum of the two-day deliveries equals 1440 tons. This gives us the equation:
x + 0.80x = 1440
To solve this equation, we combine like terms:
1.80x = 1440
Dividing both sides by 1.80 gives us:
x = 1440 / 1.80
x = 800
Thus, 800 tons of grain were delivered on the first day.
help plz i want help
Answers
Yw and have a nice day
what is 78 million in scientic notation?
Answers
In this problem, you are asked to write a number in scientific notation. In figures, 78 million would look like this:
78,000,000
To write this to scientific notation, you have to move the decimal point to the left until you will get a number between 1 and 10.
Here, you will have to move the decimal point 7 times to get 7.8
The exponent of the scientific notation is the number of times you moved your decimal point. Since the movement of decimal point is going to the left, you will have a positive exponent.
The scientific notation would look like this:
7.8 x 10^7
Find 0.8% of 1,046 what is 0.8% of 1,046
Answers
The required answer would be 8.368 which is 0.8 percent of 1,046.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For instance, If Mishali obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.
We have to determine the evaluation of 0.8% of 1,046.
⇒ 0.8% of 1,046
0.8% is expressed as 0.8/100 in fractional form
⇒ (0.8/100)(1,046)
0.8/100 is expressed as 0.008 in decimal form
⇒ (0.008 )(1,046)
Apply the multiplication operation, and we get
⇒ 8.368
Therefore, 0.8% of 1,046 would be 8.368.
Learn more about the percentages here:
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Can you make a triangle with only acute angles, and none of the sides is the same length? If no can you please explain?
Answers
Hope this helps
(Quick summary if that looks strange: 60 + 70 + 50 are all acute angles and none are the same!)
Hope i helped :)
What are the coordinates of the vertex of the graph? Is it a maximum or minimum
Answers
Based on the graph, the coordinates of the vertex are at (0, -1), and since the parabola opens upwards, the vertex is a minimum.
Therefore, the correct answer is A:
(0,-1) ; minimum
The image shows a parabola opening upwards on a coordinate plane. The vertex of a parabola is the highest or lowest point on the graph, depending on whether the parabola opens downward or upward, respectively.
Here's a detailed explanation for identifying the vertex and determining if it is a maximum or minimum:
Step 1: Identify the Vertex
The vertex of a parabola in the form [tex]\(y = ax^2 + bx + c\)[/tex] can be found using the vertex formula [tex]\(x = -\frac{b}{2a}\)[/tex] for the x-coordinate and then substituting that back into the equation for y to find the y-coordinate. However, in this case, we can directly observe the vertex from the graph. It's the point where the parabola changes direction.
Step 2: Read the Coordinates from the Graph
From the graph, we can see that the vertex is at the origin of the parabola's turning point. It appears to be at (0, -1) by looking at where the axis of symmetry of the parabola intersects the y-axis.
Step 3: Determine Maximum or Minimum
Since the parabola opens upwards, as indicated by the shape of the graph, the vertex represents the minimum point of the parabola. If the parabola were to open downwards, the vertex would represent the maximum point.
I'll give brainliest to whoever shows their work. Plz answer fast.
Jana is ordering a list of numbers from least to greatest.
Which statement can be used to create her list?
A) The square root of 0.8 is less than 4/5 because 0.8= 4/5 and the square root of a number less than 1 is less than the number itself.
B) The square root of 7 is greater than the square root of 7^2 because the square root of 7^2=7 and the square root of a number greater than 1 is greater than the number itself.
C) (The square root of 5)^2 is less than the square root of 7 because (The square root of 5)^2= 5 and the square root of 7 is between 6 and 8.
D) the square root of 7 is greater than 4/5 because 4/5 is less than 1 and the square root of a number greater than 1 is greater than 1.
Answers
Statement A is false. The square root of a number less than 1 is greater than the number itself. In fact, [tex] \sqrt{ \frac{4}{5} } = \sqrt{0.8} =0.89[/tex]. Since [tex]0.89[/tex] is greater than [tex]0.8[/tex], [tex] \sqrt{0.8} [/tex] is greater than [tex] \frac{4}{5} [/tex]; therefore, statement A is false.
Statement B is false. The square root of a number greater than 1 is less than the number itself. in fact, [tex] \sqrt{7} =2.64[/tex], whereas [tex] \sqrt{7^2} =7[/tex]. Since 2.64 is less than 7, [tex] \sqrt{7} [/tex] is less than [tex] \sqrt{7^2} [/tex]; therefore statement B is false.
Statement C is false. [tex] \sqrt{7} [/tex] is actually less than 7 divided by two, so there is no way that [tex] \sqrt{7} [/tex] is between 6 and 8. In fact [tex] \sqrt{7} =2.64[/tex]. Since 5 is greater than 2.64, [tex]( \sqrt{5} )^2[/tex] is greater than [tex] \sqrt{7} [/tex]; therefore, statement C is false.
Statement D is true. [tex] \sqrt{7} =2.64[/tex]. Since 2.64 is greater than 0.8, [tex] \sqrt{7} [/tex] is greater than [tex] \frac{4}{5} [/tex].
We can conclude that Jana should use statement D to create her list; also the correct order from least to greatest is: [tex] \frac{4}{5} [/tex], [tex] \sqrt{0.8} [/tex],[tex] \sqrt{7} [/tex], [tex]( \sqrt{5} )^2[/tex], [tex] \sqrt{7^2} [/tex]
Answer:
The Correct Would Be OPTION : D
Step-by-step explanation:
Choose the correct simplification of (4x3 − 3x − 7) + (3x3 + 5x + 3). (5 points) 7x3 − 2x − 4 x3 − 8x − 10 7x3 + 2x − 4 x3 + 8x + 10
Answers
What property is l times w = w times l
Answers
Answer:
This property is communitive
Step-by-step explanation:
factor 2cos^2x-5cosx+2=0
Answers
2 \: { \cos}^{2} \alpha \: - \: 5 \: \cos\alpha \: + \: 2 \: = \: 0 \\ \\ Let \: \: \cos \alpha \: = \: x \\ \\ Hence \: \: , \: \\ the \: given \: expression \: becomes \\ \: a \: Quadratic \: Equation\: - \\ \: \\ 2 {x}^{2 } \: - \: 5x + \: 2 \: = \: 0 \\ \\ 2 {x}^{2} \: - \: 4x \: - \: x \: + \: 2 \: = \: 0 \\ \\ 2x \: (x - 2) \: - \: 1 \: (x - 2) \: = \: 0 \\ \\ (2x - 1) \: (x - 2) \: = \: 0 \\ \\ Solving \: for \: \: x \: \: , \: \: \\ \: We \: get \: \: - \: \\ \\ \: \: x \: = \: \frac{1}{2} \: \: \: \: \: \: and \: \: \: \: \: \: \: \: x \: = \: 2 \\ \\ As \: value \: of \: \cos\alpha \: ranges \: from \: \\ \: \: - 1 \: \: \: to \: \: \: 1 \: \\ \\ Neglect \: \: x \: = \: 2 \\ \\ Hence \: , \: x \: = \: \frac{1}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \cos\alpha \: = \: \frac{1}{2} \\ \\ \\ \: \: \: || \: \: \: \alpha \: = \: \: 2n \pi \: + \: \frac{\pi}{3} \: \: \: \: or \: \: \: \: 2n \pi \: - \: \frac{\pi}{3} \: \: \: || \\ \:
\: \: \: \: \: \: \: \: \: Ans.\: \: \: \\ \\ \: \:( \: Where \: n \: represents \: any \: Integer\: ) \: \: \: \: \: [/tex]
What is $1200 at 5.6% for 4 years
Answers
[tex]i = prt[/tex]
[tex]i = unknown[/tex]
[tex]p = 1200[/tex]
[tex]r = 5.6\% \: or \: 0.056[/tex]
[tex]t = 4[/tex]
[tex]i = 1200(0.056)4[/tex]
[tex]i = (67.2)4[/tex]
[tex]i = 268.8[/tex]
$268.80
What are like terms? How do you combine them? Can you give an example?
Answers
you would first combine 4x and -8x because they are the same.
2x + 3x = 5x
You combine the coefficients by adding them. 2 + 3 = 5.
Hope this helps!
Thomas has to type 1200 words. He has already typed 300 words. he can type 60 words per minute. Determine the number of minutes it will take him to finish typing.
Answers
Izracunaj opseg i povrsinu kruga upisanog u kvadrat stranice duljine 8 cm.
Answers
Calculate the circumference and circumference of the circle entered in a square 8 cm long.
So when finding the answer this this question, we know that the circumference would be the complete area of a circle.
So, I believe we would want to find what is the radius and the diameter that would make this circumference 8[tex]^c^m[/tex].
The radius would then be (1.274).
__________________________________________________________
Now in your own language (Croatian).
Dakle, kad pronađemo odgovor na ovo pitanje, znamo da bi opseg bio cjelokupno područje kruga. Dakle, vjerujem da bismo željeli otkriti što je radijus i promjer koji bi ovaj opseg mogao učiniti 8cm. Radijus bi onda bio (1.274).
The question in English is
Calculate the circumference of the circle entered in a square 8 cm long
we know that
The circumference of a circle is equal to
[tex]C=\pi D[/tex]
where
D is the diameter of the circle
In this problem we have that
the diameter of the circle is equal to the length of the square
so
[tex]D=8\ cm[/tex]
Find the circumference
[tex]C=8\pi\ cm=25.13\ cm [/tex]
therefore
the answer is
The circumference of a circle is equal to [tex]8\pi\ cm\ or\ 25.13\ cm[/tex]
A sign says that the price marked on all music equipment is at a discount for 30% off. You buy an electric guitar for the same price of $315.
{Im only in 7th grade.}
What is the percent you pay? _____________
Write an equation to find the regular price of the item. __________________
What was the regular price? ____________
Answers
a. So the electric guitar is sold for a sale price of $315 after the discount. The discount was 30%. Even though we get that amount off, we still pay 70% of the original price, because 100% (original price) - 30% is 70%.
b. An equation that can help us find the regular price of the item is through writing and solving a proportion. Set it up like this:
315/x = 70/100
This is because 315 is part of the whole and is 70% of the value of x.
How to solve it:
Okay. Let's solve this by cross multiplying the values. 315 * 100 is 31,500. 70 * x is 70x. That simplifies to 31,500 = 70x. Didivde each side by 70 to isolate the x. 70x/70 cancels out. 31,500/70 is 450. Let's check this by multiply the number by 70% and see what happens. 450 * 70% (0.7) is 315. There. x = 450. The regular price was $450.
The percent paid after a 30% discount is 70% of the regular price. The equation to find the regular price is 0.70 * P = $315. Solving this gives us the regular price of the electric guitar, which is $450.
Explanation:If a sign says that the price marked on all music equipment is at a discount for 30% off, and you buy an electric guitar for $315, we need to figure out the percent you actually pay and the regular price of the guitar.
Since the discount is 30%, you pay 100% - 30% = 70% of the regular price.
Let's call the regular price 'P'. The equation to find the regular price of the item after a 30% discount is:
0.70 * P = $315
To find the regular price 'P', we divide both sides of the equation by 0.70:
P = $315 / 0.70
P = $450
The regular price of the electric guitar before the discount was $450.
one number is 9 times a first number. A third number is 100 more than the first number. Of the sum of the three numbers is 1167, find the numbers
Answers
The second number is 9x.
The third number is x +100.
The sum of all three numbers is
.. x +9x +(x +100) = 1167
.. 11x +100 = 1167
.. 11x = 1067
.. x = 97
The numbers are 97, 873, 197.
Simplify the expression 9 + 4n - 1 - 3n
Answers
9 - 1 + 4n - 3n
= 8 + n
Hope this helps!
=9 + 4n - 1 - 3n
= (4n-3n) + (9-1)
= n + 8
ANSWER: simplified expression=n + 8
Hope this helps! :)
Triangle ABC has angle measures as shown. (a) What is the value of x? Show your work. (b) What is the measure of angle C? Show your work.
Answers
3(x-2)+35+52=180
distribute
3x-6+35+52=180
combine like terms
3x+81=180
subtract 81 on both sides
3x=99
divide both sides by 3
x=33
plug in for x
3((33)+2)=
or 180-35-52=93
The value of x is 29.
The measure of angle C is 93.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The sum of the angles = 180
So,
From the triangle,
3(x + 2) + 35 + 52 = 180
3x + 6 + 35 + 52 = 180
3x + 93 = 180
3x = 180 - 93
3x = 87
x = 29
Now,
∠C = 3 (x + 2)
= 3 (29 + 2)
= 3 x 31
= 93
Thus,
The value of x is 29.
The measure of angle C is 93.
Learn more about triangles here:
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The number of taxi accidents is approximated by y equals negative 143.3 x squared plus 1823.3 x plus 6820 and the number of injuries is approximated by y equals negative 416.72 x squared plus 4416.7 x plus 8500. Let xequals0 represents 1990, xequals1 represents 1991, and so on.
Answers
number of taxi accidents = 12235.2 which is approximately approximately 12235 accidents
Explanation:
The equation for the number of accidents is given as:
y = -143.3 x² +1823.3 x + 6820
We are given that:
x = 0 represents 1990
x = 1 represents 1991
Therefore:
x = 8 represents 1998
Now, all we have to do is substitute with the value of x = 8 in the equation of accidents to get the number of taxi accidents in 1998 as follows:
y = -143.3 (8)² +1823.3 (8) + 6820
y = -143.3 (64) + 1823.3 (8) + 6820
y = -9171.2 + 14586.4 + 6820
y = 12235.2
If we are asked to approximate the answer, then it would be approximately 12235 accidents
Hope this helps :)
What is the area of the figure?
A. 617.5 m^2
B. 824 m^2
C. 759 m^2
713.5 m^2
Answers
Check the attachment.
Hence, On proper calculations ,
We get our answer as D) 713.5 m^2
Hope it helps you :)
Mr. Green teaches band, choir, and math. This year, he has 57 students that take at least one of his classes. He teaches band to 25 students. There are 9 students who have Mr. Green for math and nothing else. Use the Venn diagram below:
How many students take exactly 2 classes with Mr. Green?
i need help with this
Answers
choir alone 17
band and choir alone 4
band and math alone 7
math and choir alone 6
band choir and math 3
math alone 9 from 11+4+10+6+17 + M = 57
so
2 classes = 4+7+6 = 17
17 students take exactly two classes with Mr. Green
Answer:
Step-by-step explanation:
Given that Mr. Green teaches band, choir and math.
Total students = 57
Students who learn band A = 25
Students who learn math alone =9
From venn diagram we see that
band alone 11
choir alone 17
band and choir alone 4
band and math alone 7
math and choir alone 6
band choir and math 3
math alone 9 from 11+4+10+6+17 + M = 57
so
2 classes = 4+7+6 = 17
17 students take exactly two classes with Mr. Green
The function f(x) varies inversely with x and f(x) = 0.9 when x = 0.5 what is f(x) when x = 1.5 ? a. 0.02 b. 0.03 c. 0.3 d.0.75 PLEASE HELP ME I WILL MARK BRAINLIEST!!!!!!!!!!!!!
Answers
Answer:
The answer is 0.3
Step-by-step explanation:
Whats the original price for this?
Answers
24 is what percent of 40?
Show work please! Thanks
Answers
40 ÷ 10 = 4
24 ÷ 4 = 6
6 = 6/10 = 3/5 = 0.6 = 60%
[tex] \frac{24}{40} \times \frac{100}{100} = \frac{60}{100} [/tex]
steps
1) find what 24 of 40 is
which is 24/40
2)multipy with denominator and numerator by 100 resulting in 60%
what is the surface area of a cube with a side length of 3 1/4 in
Answers
so
A = 6a^2
A = 6(13/4)^2
A = 6 (169/16)
A = 63.375 in^2
What is the volume of a cylinder with a radius of 4 inches and a height of 7 inches
Answers
Formula = 3.14 x radius square x 7
3.14x 4x4 x7= 351.68 inches square
Answer is provided in the image attached.
a soccer field has a length of 100 yards and a width of 60 yards .which equation can you use to find the area of the soccer field
Answers
Since the formula for area of a rectangle is length × width, multiplying the sides will get you the area.
Hope this helps!
Final answer:
To find the area of a soccer field with a length of 100 yards and a width of 60 yards, the equation used is Area = 100 yards × 60 yards, resulting in an area of 6000 square yards.
Explanation:
To calculate the area of a soccer field with a length of 100 yards and a width of 60 yards, we can use the formula for the area of a rectangle, which is Area = length × width. In this case, we would calculate the area as follows:
Step 1: Identify the Formula
Area = length × width
Step 2: Plug in the Measurements
Area = 100 yards × 60 yards
Step 3: Calculate the Area
Area = 6000 square yards
Therefore, the equation to find the area of the soccer field is Area = 100 yards × 60 yards, giving us an area of 6000 square yards.