Answers
Answer:
The area of trapezoid is 39.6cm²
Step-by-step explanation:
Given that the formula of area of trapezoid is A = 1/2×(a+b)×h where a and b is the length and h is the height. So you have to substitute the values into the formula :
[tex]area = \frac{1}{2} \times (a + b) \times h[/tex]
[tex]let \: a \: = 8.9 \\ let \: b \: = 5.5 \\ let \: h \: = 5.5[/tex]
[tex]area = \frac{1}{2} \times (8.9 + 5.5) \times 5.5[/tex]
[tex]area = \frac{1}{2} \times 14.4 \times 5.5[/tex]
[tex]area = \frac{1}{2} \times 79.2[/tex]
[tex]area = 39.6 {cm}^{2} [/tex]
Answer: The area is 39.6
Step-by-step explanation:
First multiply 5.5×5.5= 30.25
Then subtract 8.9 - 5.5=3.4
Then multiply 5.5 x 3.4=18.7
Divide 18.7/2=9.35
Add 30.25 + 9.35 =39.6
b x h ÷2
[tex]l *w=a[/tex]
Hope this helps.
Related Questions
The length of one leg of a right triangle is 16 ft, and the length of the hypotenuse is
34 ft. What is the length of the other leg?
Answers
The length of other leg is 30 ft
Look at the attached picture
Hope it helps...
Good luck on your assignment
Answer:
[tex] = 30ft[/tex]
Step-by-step explanation:
[tex]h = 34ft \\ p = 16ft[/tex]
[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ {34}^{2} = {16}^{2} + {b}^{2} \\ 1156 = 256 + {b}^{2} \\ 1156 - 256 = {b}^{2} \\ 900 = {b}^{2} \\ \sqrt{900} = b \\ 30ft = b[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
On a map of Braxton County, the library is located at (–3, –7). The hospital is located 5 units west of the library. What ordered pair represents the location of the hospital?
Answers
Answer:
(-8,-7)
Step-by-step explanation:
assuming that the top part of the y-axis is north and the bottom part is south
we know west is to the left and that means -5 so -3-5=-8 meaning our coordinate is (-8,-7)
7. The largest of the Great Pyramids in Egypt was built with a square base,
having edges that measured 754 feet and a height of 481 feet. Today, after
years of erosion, the base edges are 745 feet and its height is 471 feet. To the
nearest cubic foot, find the difference between the original and current
volumes of the pyramids.
Please show work
Answers
Answer:
Difference between the original and current volumes = 4013140.30 cubic feet
Step-by-step explanation:
Largest pyramid has the square base with one edge = 754 feet
Area of the square base = (Side)²
= (754)²
= 568516 square feet
Volume of the pyramid = [tex]\frac{1}{3}(\text{Area of the base})(\text{Height})[/tex]
= [tex]\frac{1}{3}\times 568516\times 481[/tex]
= 91152065.3 cubic feet
After erosion,
Area of the base = (745)² = 555025 square feet
Volume of the pyramid = [tex]\frac{1}{3}(555025)(471)[/tex]
= 87138925 cubic feet
Difference between the original and current volumes of the pyramid
= 91152065.30 - 87138925
= 4013140.30 cubic feet
Find the value of "k", given that one solution of the equation 2x² kx + 12 = 0 is
is -3/2
Answers
Answer:
Is there a picture to it.
that will me helpful for me
Step-by-step explanation:
Willing to help
Which is the simplified rational expression
Please answer correctly my grade depends on it
Answers
Answer:
The answer is B.
Step-by-step explanation:
Since they all have a common denominator, you can group the numerators together. Therefore, we have...
[tex]\frac{(9x-5)+(3x-8)-(5x+3)}{4x-1}[/tex]
Now, we simply need to simplify.
[tex]=\frac{9x-5+3x-8-5x-3}{4x-1} =\frac{7x-16}{4x-1}[/tex]
This cannot be simplified further.
Teresa borrowed $9000 from a bank for 2 years and was charged simple interest. The total interest that she paid on the loans was $1620. As a percentage, what was the annual interest rate of her loan?
Thanks.
Answers
Answer: 9%
Step-by-step explanation:
SI = prt/100
1620 = (9000 x r x 2) / 100
X-y=5;-x+y=5
Can someone help me plz
Answers
Answer:
Step-by-step explanation:
x-y=5
-x+y=5
or x-y=-5
so it is a system of two parallel lines.
so no solution.
or they do not intersect atmany point.
A. Statement 1 and 2
B. Statement 1,2,3 and 4
C. Statement 1 and 4
D. Statement 1,3 and 4
Answers
Hope this helps :)
Solve for x:
7 : x = 21 : 24
Answers
Answer:
8
Step-by-step explanation:
Multiply the right side by 3
3x = 24
x = 8
Answer:
x=8
Step-by-step explanation:
24 × 7 = 21 × X
168 = 21× X
168/21 = X
8 = X
A bag has 4 balls: 1 red (R), 1 green (G), 1 yellow (Y), and 1 blue (B).
You randomly choose a ball. What is the sample space?
A. {R, G, Y, B}
B. {R, B, Y, O)
C. {R}
D. {G}
Answers
Answer:
The correct answer is A. {R,G,Y,B}.
Step-by-step explanation:
The sample space for the given information is A. {R, G, Y, B}.
What is a sample space?A sample space can be defined as a set of all possible outcomes of a random experiment.
The sample space is represented by the symbol, ‘S’. Sample space can also be expressed using the set notation, {}.
Given that, a bag has 4 balls: 1 red (R), 1 green (G), 1 yellow (Y), and 1 blue (B), we need to find the sample space for this data,
So,
Since, the sample space is the all the data in the set,
Therefore, the whole set is = 1 red (R), 1 green (G), 1 yellow (Y), and 1 blue (B).
Therefore,
S = {R, G, Y, B}
Hence, the sample space for the given information is A. {R, G, Y, B}.
Learn more about sample space click;
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Which expression is equivalent to −1 3/8?
A. -1 -3/8
B -1 +3/8
C. 1+3/8
D. 1-3/8
Answers
Answer:
It's A.
Step-by-step explanation:
-1 3/8 means 1 and 3/8 less than zero so its 0 - 1 then - another 3/8.
Answer:
a
Step-by-step explanation:
this is because a is equal to -1 +-3/8 which is -1 3/8
What is the equation of the exponential function graphed below?
Answers
Answer:4
Step-by-step explanation:
Answer:D
Step-by-step explanation:
Y=e^x
Solve the equation using square roots.
[tex]x^{2} -16= -16[/tex]
Answers
Answer:
x = 0
Step-by-step explanation:
x² -16 = -16
x² = - 16 + 16
x² = 0
√x² =√0
x = 0
Peter buys a house that costs $100,000. If the
house loses 5% of its value each year, to the
nearest dollar, what will be the value of the
house after 6 years?
(A) $63,025
(B) $66,342
(C) $69,834
(D) $73,509
(E) $77,378
Answers
Answer:
None of these, it's $70,000.
Step-by-step explanation:
5% of $100,000 is $5,000
$5,000 · 6 (# of years) = $30,000
$100,000 - $30,000 = $70,000
There are 24 students in the class. If 12 of them enrolled to the French courses, 13 of them to the Spanish and 7 of them take neither, what is the probability that a randomly-chosen student from this group is taking only the French class?
Answers
Answer:
1/6 = 0.1667 = 16.67%
Step-by-step explanation:
If there are 24 students in the class and 7 of them take neither courses, we have 17 students that take one or both courses.
To find the students that took both courses, we can use the formula:
N(Spanish or French) = N(Spanish) + N(French) - N(Spanish and French)
17 = 13 + 12 - N(Spanish and French)
N(Spanish and French) = 8
Then, the number of students that are taking only French is:
N(only French) = N(French) - N(Spanish and French)
N(only French) = 12 - 8 = 4
So the probability of chosing a student that took only French is:
P(only French) = N(only French) / N(total)
P(only French) = 4 / 24 = 1/6
Using a = 20, b = 15
and c = 25, is triangle
ABC a right triangle?
Yes
No
Answers
Answer:
Yes
Step-by-step explanation:
400+225=625
625=25^2
Ron randomly pulls a pen out of a box that contains 1 red, 2 black, and 3 blue pens. He does
this 4 times, replacing the pen each time, but pulls out a blue pen only 1 time. Ron concludes
that the observed frequency of pulling a blue pen will eventually be closer to the expected
frequency based on the theoretical probability of pulling a blue pen. Which reasoning best
supports his conclusion?
Answers
Answer:
The more experiments that are done, the more the theoretical trend is marked
Step-by-step explanation:
The first thing is to define each probability,
-Theoretical probability is a proportion that expresses the ways to be successful in the total events of an experiment.
-Experimental probability is the proportion of the proposed result for the number of experimental attempts.
Based on this, the reason that best supports this is that the more the experiment is repeated, the closer the experimental probability gets to the theoretical one, since as the number of attempts increases, it tends to go more to what theoretically is what would happen.
A pair of dice is rolled.
Find the probability of showing divisors of 12 on both dice.
Answers
Answer:
25/36
Step-by-step explanation:
The dicisors of 12 on a die are 1,2,3,4,6
So 5/6 per die
5/6*5/6 = 25/36
Which of these expressions is equivalent to log9 10? A) log 9 B) log 19 C) 1 log 9 D) 1 log 19
Answers
37.68 yards that is the circumference I want to know what the radius is
Answers
The equation for the circumference is 2 pi r. You have the circumference given.
Now, divide that by pi to get 2 r.
This is approximately 11.63.
Now, divide that by 2 to get the radius.
Radius = 5.14 yards.
Gina makes fruit bags. Each bag has 2 apples and 3 oranges.
What is the ratio of the number of apples in each bag to the total number of fruit in each bag? Move numbers to the lines to complete the
sentence.
Answers
Answer:
2:5
Step-by-step explanation:
Why does 3-(x+1)=3-x-1? Use the distributive property.
Answers
[tex]3-(x+1)=3-x-1[/tex]
[tex](+3)-(x+1)[/tex]
[tex](+3)-1(x+1)[/tex]
Distribute the -1 to (x+1)
[tex](+3)-1x-1[/tex]
[tex]3-x-1[/tex]
[tex]-x+2[/tex]
3-1(x+1) = 3-x-1
Step 1. distribute the negative sign
2(-x-1) = 3-x-1
Step 2. distribute the 3
-2x-3= 3-x-1
add 3 on both sides
-2x = 6 - x - 1
add x to both sides
-1x = 6 - 1
-1x=5
x=5
SO..... u have to plug 5 in
What is the slope of a line PARALLEL to the graph?
es
A)-3
B)0
C)3
D)-1/3
Answers
Answer:
C) 3
explanation:
parallel lines never touch, they are the same slope with different y-intercepts.
Right here the slope is 3, which means the slope is going to be 3
As a rule, parallel lines will always have the same slope.
The || symbol represents "parallel".
So if the slope of a line is parallel to this graph, the line
must have a slope of 3 since this line has a slope of 3.
As a quick review, remember that slope describes how steep a line is.
It can be found using the ratio rise/run between
any two points that are on that line.
13. Find the measure of ZABC. Show your work.
Answers
Answer:
47°
Step-by-step explanation:
In the picture attached, the problem is shown.
When two secants intersect at a point, the angle made is one-half of the difference between the greater arc and the minor arc formed. In this case:
∠ABC = 1/2*(arc DE - arc AC)
Replacing with data from the picture:
∠ABC = 1/2*(142° - 48°)
∠ABC = 47°
The Bilbo Company plans to manufacture decals for children's lunchboxes. Each decal
would cover one rectangular side of a lunchbox, as shown in the figure above. Which of
the following expressions gives the area, in square inches, of the decal, in terms of a and
Answers
Answer: 1 -2ax²+2x-ax
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a rectangle: length x width
Replacing with the values given:
A = (2x+1) (1-ax)
A = [2x(1)] + [2x(-ax)] +[ 1(1)]+ [1 (-ax)]
A = 2x- 2ax² +1- ax
A = 1 -2ax²+2x-ax
In conclusion, the correct option is 1 -2ax²+2x-ax
Feel free to ask for more if needed or if you did not understand something.
Which of the following describes the transition of the graph of y = x^2 yo obtain the graph of y = -x^2 +3?
Answers
Answer:
The graph is reflected over the x axis and shifted up three units
-6p (p4- 8) what’s the answer ?
Answers
Answer:
-6p^5+48p
Step-by-step explanation:
-6p (p^4- 8)= -6p^5+48p
Solution,
-6p(p^4-8)
= -6p^5+48p
Hope it helps
good luck on your assignment
There are 5 red tiles and 5 blue tiles with the letter A in a bag. There are also 6 red tiles and 4 blue tiles with the letter B in the bag. What is the
probability that a randomly selected tile is blue or has the letter B?
Answers
Letter b= 10/20- 1/2
Either blue or b= 19/20
You have found the following ages (in years) of all 4 zebras at your local zoo: 14, 15, 9, 1 What is the average age of the zebras at your zoo? What is the variance?
Answers
Answer:
9.8. is the Average Age
30.7 is the Variance
Step-by-step explanation:
9.8 is the Average Age and the 30.7 is the Variance.
What is Variance?The term variance refers to a statistical measurement of the spread between numbers in a data set.
Given that, 4 zebras at a local zoo have ages 14, 15, 9, 1,
We need to find the average age and the variance,
we know that,
Average = Sum of all the values of the set given / Number of values in the set
And,
Variance = sum of all the values of (x - means) ² / (n)
So,
Average age = 14 + 15 + 9 + 1 / 4 = 39/4 = 9.75
Variance =
(14-9.75) ² = 18.06
(15-9.75) ² = 27.56
(9-9.75) ² = 0.5625
(1-9.75) ² = 76.56
= 18.06 + 27.56 + 0.5625 + 76.56 / 4
= 30.68 ≈ 30.7
Hence, 9.8 is the Average Age and the 30.7 is the Variance.
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James wants to build a wooden planter box for his garden with a volume of 100 cubic feet. If he constructed the planter with a height of 2 feet and a width of 5 feet, what should the length of the planter be, in feet?
Answers
Answer:
The length of the box is 10 feet.
Step-by-step explanation:
You have to work backwards to find volume, so just divide the volume (100) by the height (2) then divide that by the width (5) and you get your answer, 10
