Given:
Bases of the trapezoid are 5.2 m and 14.6 m.
The height of the trapezoid is 7 m.
To find:
The area of the trapezoid.
Solution:
The area of a trapezoid is:
[tex]A=\dfrac{a+b}{2}\times h[/tex]
Where, a,b are bases and h is the height of the trapezoid.
Putting [tex]a=5.2,b=14.6,h=7[/tex] in the above formula, we get
[tex]A=\dfrac{5.2+14.6}{2}\times 7[/tex]
[tex]A=\dfrac{19.8}{2}\times 7[/tex]
[tex]A=9.9\times 7[/tex]
[tex]A=69.3[/tex]
Therefore, the area of the trapezoid is 69.3 square meters.
Peyton invested $300 into a savings account. The equation
A = 300(1.005)12t models the amount in Peyton's account A after t
years. How much will be in Peyton's account after 7 years?
answer for brainliest and 20 points
Answer:
1. 729
2. 25
3. 513
4. 343
5. 1
Step-by-step explanation:
1.
3x3x3x3x3x3
9x9x9
81x9
729
2.
-5 x -5
5x5
25
3.
8-6=2
2x2x2x2x2=
4x4x2=
16x2=
32
-2x-2x-2x-2=
4x4=
16
32x16+1=513
4.
7x7x7x7=
49x49=
2401
2401x2401=
5764801
7x7x7x7x7=
2401x7=
16807
5764801/16807 = 343
5.
9-1=8
8x8x8=512
6+2=8
8x8x8=512
512/512=1
what is the image of (-4,-2) after a reflection over the y=-x
Answer:
(2,4)
Step-by-step explanation:
because the coordinates change places and signs
Answer:
(- 4, - 2 )
Step-by-step explanation:
Please solve the equation
Answer: x=15/2
Step-by-step explanation: Divide both sides by 4 so 64/4 Simplify 64/4 to 16. 2x=16−1 2x=15 Divide both sides by 2 x=
15/2
HOPED THIS HELPED :))
willie runs 2 in 22 minutes. the same rate, how many miles can he run in 132 minutes? please help me as soon as possible
Answer:
He can run 12 miles in 132 minutes.
Step-by-step explanation:
2/22=x/132
simplify 2/22 into 1/11
1/11=x/132
cross product
11*x=1*132
11x=132
x=12
WHAT IS THE PERIMETER OF THE TRIANGLE
GET THIS RIGHT AND YOU GET 100 POINTS
Answer:
40
Step-by-step explanation:
SO im guessing if its the full graph one box counts 1.
So the top side counts 8
The left one is 15
The perimeter means adding all the sides together.
We already have 2. But finding the hypotenuse would not be easy from graph so we will use Pythagorean theorem.
a^2+b^2=c^2
8^2+15^2 = c^2
64+225 = c^2
289 = c^2
c = 17
so the perimeter is 8+15+17 = 40
Tell weather the function is linear or non-linear.
Answer:
non-linear i'm pretty sure
Step-by-step explanation:
The volume of a rectangular prism is 473.2 cubic millimeters. If the length is 7 millimeters and the width is 10.4 millimeters, what is the height of the rectangular prism?
Answer:
c
Step-by-step explanation:
it is
1)A System of equations is shown below . What is the solution to the system of equations? 5x+2y=-15 2x-2y=-6
Answer:
x= -3 and y= 0
Step-by-step explanation:
5x+2y=-15
2x-2y=-6
7x =-21
x= -3
Putting value of x in equation 1
5(-3) +2y=-15
-15+2y= -15
2y= 0
y= 0
This can be solved with the help of matrices
In matrix form the above equations can be written in the form
[tex]\left[\begin{array}{ccc}5&2\\2&-2\/\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-15\\-6\\\end{array}\right][/tex]
Let
[tex]\left[\begin{array}{ccc}5&2\\2&-2\/\end{array}\right][/tex] = A [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex] = X and [tex]\left[\begin{array}{ccc}-15\\-6\\\end{array}\right][/tex]= B
Then AX= B
or X= A⁻¹ B
where A⁻¹= adj A/ ║A║ where mod A≠ 0
adj A= [tex]\left[\begin{array}{ccc}-2&-2\\-2&5\/\end{array}\right][/tex]
║A║= ( 5*-2- 2*2)= -10-4= -14≠0
X= A⁻¹ B
[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex] =- 1/14 [tex]\left[\begin{array}{ccc}-2&-2\\-2&5\/\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}-15\\-6\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex] =- 1/14 [tex]\left[\begin{array}{ccc}-2*-15&+ -2*-6\\-2*-15&+ 5*-6\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex] =- 1/14 [tex]\left[\begin{array}{ccc} 30&+12\\30&+-30\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex] =- 1/14 [tex]\left[\begin{array}{ccc}42\\0\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-42/14\\0/-14\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-3\\0\\\end{array}\right][/tex]
From here x= -3 and y= 0
Solution Set = [(-3,0)]
Which data set could be represented by the box plot shown below?
I will mark brainliest!
Answer:
0,1,2,3,4,5,6,7,8,9,10,11
Step-by-step explanation:
starts at 0 and ends at 11
(i think)
A ___ is a portion of __ that has a definite length and it is located between two points.
Ray
Line
Segment
Segment is a portion of line
The correct answer is segment and line.
The following information should be considered;
A segment should be the portion of the line that contains the definite length. Also, it should be located between two points. Therefore, the ray option should be ignored.Learn more: brainly.com/question/17429689
What do you think the value of represents in the function? How can you predict what the graph of a quadrati function will look like knowing the value of k in a vertex form y=(x-7) *?
Answer:
Step-by-step explanation:
Parts of the question are missing.
y = a(x-h)² + k is a vertical parabola.
If a is positive, the parabola opens upwards.
If a is negative, the parabola opens downwards.
The vertex is at (h, k)
Solve. 2(2z + 5) = 50
Answer:
z = 10
Step-by-step explanation:
Distribute 2 to the terms in the parentheses:
2(2z + 5) = 50
4z + 10 = 50
Subtract 10 from both sides
4z = 40
Divide each side by 4
z = 10
So, the answer is z = 10
Answer:
10
Step-by-step explanation:
1. Factorize left side.
2*2z+2*5=50
4z+10=50
2. Subtract 10 from both sides
4z=50-10
4z=40
3. Divide both sides by 4
z=40/4
z=10
Harriet bought 3 gal. 2qt, of a paint for her living room. She used 2 gal, 3 qt. How many paint is left over?
Answer:
3 qt
Step-by-step explanation:
Let's stick to one unit to facilitate things. I'm going to use quarts as the unit.
1 gal = 4 qt
Initial value = 3 gal 2 qt = 14 qt
Change = 2 gal 3 qt = 11 qt
14 qt - 11 qt = 3 qt
Help me pls TwT I’m really suck at school
Answer:
The answer is A.
Step-by-step explanation:
125/95 as a decimal ill mark you brainliest
Which statement is true?
Question 19 options:
A)
|–3| = 3 and –|–4| = –4
B)
|–3| = 3 and –|4| = 4
C)
–|3| = 3 and |4| = 4
D)
|–3| = 3 and |–4| = –4
Answer:
the first one is true and not sure 100% that the others are false all
IF TWO ANGLES ARE CORRESPONDING ANGLES AND <1=59, WHAT IS THE MEASURE OF <2?
Answer:
72 degrees. Don’t copy me!!!!
Step-by-step explanation:
help please its timed
Answer:
immune system
Step-by-step explanation:
Solve: 46, 56, 67, 78, 34, 46, 57 mean: Range: Median: Mode:
Answer:
mean:54.857142857143
Range:44
median:56
mode:46
Answer:
Mean: 54
Median: 56
Range: 44
Mode: 46
If you need any help revolving around this topic,feel free to ask and I will be happy to help. Good luck!
20 POINTS!!! Giving Brainliest
This figure consists of a rectangle and semicircle.
What is the area of this figure?
Use 3.14 for π.
Enter your answer as a decimal in the box.
Use 3.14 for pi.
Enter your answer as a decimal in the box. Round your answer to the nearest hundredth.
Answer:
Im not sure if my asnwer is right but i got 38.13
Step-by-step explanation:
Our formula is pi×r×2÷2+L+W
I don’t get this Please help
Answer:
The second one! -5.99%
Step-by-step explanation:
What is the equation of an exponential function with base=2 that has a vertical stretch by a factor of 3, a shift to the right 5 and a shift up 6 ?
Answer:
[tex]y=3(2)^{x-5}+6[/tex]
Step-by-step explanation:
Let the equation of the exponential function with base 2 is,
[tex]y=a(2)^{x+c}+d[/tex]
Here, a = vertical stretch
c = Horizontal shift
d = Vertical shift
If this function has a vertical stretch by a factor of 3,
Equation will be,
[tex]y=3(2)^{x+c}+d[/tex]
If this function has a shift of 5 to the right,
Equation of the function will be,
[tex]y=3(2)^{x-5}+d[/tex]
If this function has a shift of 6 units upwards,
[tex]y=3(2)^{x-5}+6[/tex]
question that i dont know
Answer:
A translation of 3 units to the right and a translation of one unit upwards.
Step-by-step explanation:
When we analyze translations of whole figures, all the points in the figure suffer the same translation, then we only need to analyze the translation of one of the points.
This means that we can only see the translation from A to A'
First, let's find the coordinates of each point:
A (2, 3)
A' (5, 4)
The translation is given if we calculate the difference between these coordinates:
A' - A = (5, 4) - (2, 3) = (5 - 2, 4 - 3) = (3, 1)
The change in the x-value is 3.
The change in the y-value is 1.
Then we can conclude that:
A' is 3 units at the right of A
A' is 1 unit above A.
Then the translation is:
A translation of 3 units to the right and a translation of one unit upwards.
The ages of six boys are given as 12years 3 months,18years 10months,18years 8months,13years 4months,17years 11month and 15years respectively, what is their average age?
Please help!
Above is the worlds largest pizza, coming in at a whopping 122ft in diameter. What is the area of the pizza? Round your answer to the nearest whole number.
Answer:
11,695 ft²
Step-by-step explanation:
Since the pizza is circular
Area of a circle = π r²
where r is the radiusbut radius is the diameter divided by 2
[tex]r \: = \: \frac{122}{2} \\ r \: = \: 61ft[/tex][tex]area \: = \: \pi \: \: {r}^{2} \\ area \: \: = \: \frac{22}{7} \times {61}^{2} \\ area \: = \: 11695 \: {ft}^{2} [/tex]you have a photo of a tool shed. in the picture the shed measures 2 inches wide and 1.3 inches tall. if the shed is actually 9 feet tall, how wide is the shed?
Answer:
70 1/5 inches or 70.2
Step-by-step explanation:
9x12 is 108 inches
108 divided by 2 is 54 inches
1 inch for every 54 inches
1.3x 54 is 70.2
A bag contains 20 marbles: 5 red, 5 blue, and 10 yellow. What is the probability that a red is randomly selected?
A)
PIE
B)
6
C
12
D
1
24
Answer:
1/4
Step-by-step explanation:
The answer would be one fourth because the amount of red is 5/20 which is equal to 1 fourth.
Hope this helps
Consider Marking Brainliest
Find the area of each composite figure.
Round to the nearest TENTH if necessary.
Answer:
33
Step-by-step explanation:
split it in to two shape 3*7 and 6*2
7*3=21
6*2=12
21+12=33
BRAINIEST TO WHOEVER RIGHT
Answer:
Skewed Left
Step-by-step explanation: