Answer:
115.15 cm²
Step-by-step explanation:
The area of a trapezoid = 1/2 (b1 + b2)h
Where:
b1 = first base = 8.2 cm
b2 = Second base = 15.3 cm
h = height = 9.8 cm
Hence, Area of the trapezoid =
1/2 (8.2 + 15.3) × 9.8
= 1/2 × (23.5) × 9.8
= 115.15 cm²
Therefore, the area, in square centimeters, of the trapezoid below is 115.15 cm²
What is total surface area of the rectangular prism shown 10m 10m 8m
May you give me the answer to this please ?
Answer:
using pythagoras theorem
H^2=P^2+B^2
here h=MN ,opposite(P) be 15 and adjacent(B) be 16
(MN)2=15^2+16^2
(MN)^2=225+256
MN=[tex]\sqrt{481}[/tex]
MN=21.93
after rounding off MN=21.9
Step-by-step explanation:
The area of a triangle is 169 square meters. The base of the triangle is twice the height. Find the base and height.
I would like the answer and how to get it (show work).
Thanks!
Answer:
The base of the triangle has a length of 26 meters, and the height of the triangle has a length of 13 meters.
Step-by-step explanation:
Equation to find the height: [tex]\frac{2x*x}{2} = 169[/tex] ⇒ [tex]x^2=169[/tex] ⇒ [tex]x=13[/tex] meters.
Two numbers total 70 and have a difference of 12. Find the two numbers.
Answer:
58 and 12
Step-by-step explanation:
CHECK:
58 + 12 = 70
70 - 58 = 12
NOW GO LISTEN TO ALEC BENJAMINS NEW SONG, THE WAY YOU FELT
Answer:
x is 41 and y is 29
Step-by-step explanation:
x plus y is 70 and x minus y is 12
subtract 2 from 1
2y=58
y is 29 and x is
29 plus x is 70 so.....x is41
Write 56/1000 as a decimal.
Answer:
0.056
Step-by-step explanation:
Answer:
56/1000 = .056
Step-by-step explanation:
56/100 = .56
56/1000 = .056
56/10000 = .0056
What is the volume of this rectangular prism?
2
cm
2
cm
5
cm
5
Answer:
The volume is 8
Step-by-step explanation:
Volume=abc
V=(2/5)(2/5)(2/5)
V=8
What is the slope of the line that is parallel to the line 8x – 2y = 6?
Does anyone know the answer?
Answer:
D is the right graph
which aniaml traveled at a rate of 1.5 meter per minute
Answer:
A turtle.
Step-by-step explanation:
Tom has some marbles in two bags. In one bag he has 3 yellow, 2 green and 1 red marble. In the other bag he has 3 yellow, 3 green and 3 red marbles. If Tom takes one marble out of each bag, how probable is it that neither one is yellow? Include a chart of all the data you have.
Answer:
1 / 3
Step-by-step explanation:
Bag 1 :
Yellow = 3
Green = 2
Red = 1
Total = 3 + 2 +1 = 6
Bag 2 :
Yellow = 3
Green = 3
Red = 3
Total = 3 + 3 + 3 = 9
P(not yellow from bag 1) = (green + red) / total = 3 /6 = 1/2
P(not yellow from bag 2) = (green + red) / total = 6/9 = 2 /3
P(neither is yellow) = 1/2 * 2/3 = 2 / 6 = 1/3
11. Which expression is equivalent to
8x - 2y + x + x?
a. 4x
b. 8x
c. 6x - 2y
d. 10x - 2y
Answer:
[tex]10 x - 2y[/tex]
Step-by-step explanation:
[tex]8x−2y+x+x \\ 9x−2y+x \\ 10x−2y[/tex]
Hope it is helpful...Write the slope intercept form of the equation of the line passing through (-4,6) and perpendicular to y=-2x-5.
Answer:
[tex]y=\frac{1}{2} x+8[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
Perpendicular lines will always have slopes that are negative reciprocals of each other. For example, two perpendicular lines might have slopes of 3 and -1/3.
After observing the equation y=-2x-5, we can conclude that the slope is -2. Therefore, a line perpendicular to this line would have a slope of 1/2. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{1}{2} x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\frac{1}{2} x+b[/tex]
Plug in the given point (-4,6)
[tex]6=\frac{1}{2}(-4)+b\\6=-2+b[/tex]
Add 2 to both sides
[tex]6+2=-2+b+2\\8=b[/tex]
Therefore, the y-intercept is 8. Plug this back into [tex]y=\frac{1}{2} x+b[/tex]:
[tex]y=\frac{1}{2} x+8[/tex]
I hope this helps!
i need the answer now please
Answer:
180/147
Step-by-step explanation:
We need to find the additive inverse of the given numbers.
For finding it we may simply out -1 as multiplication in front of the terms .SOLUTION 1 :-
→ 3/-7 - 11/21
→ -3/7 -11/21
→ 3×-3 - 11 /21
→ -9-11/21
→ -20/21
SOLUTION 2 :-
→ 9/5 ÷ 7/5
→ 9/5 × 5/7
→ 9/7
→ Product of nos . = -20/21 × -9/7
→ Ans = 180/147
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
16, 80,400,...
16,80,400,...
\text{Find the 6th term.}
Find the 6th term.
Given:
The sequence is:
[tex]16,80,400,...[/tex]
To find:
The 6th term of the given sequence.
Solution:
We have,
[tex]16,80,400,...[/tex]
Here, the first term is:
[tex]a=16[/tex]
The ratio between consecutive terms are:
[tex]\dfrac{80}{16}=5[/tex]
[tex]\dfrac{400}{80}=5[/tex]
The given sequence has a common ratio 5. So, the given sequence is a geometric sequence.
The nth term of a geometric sequence is:
[tex]a_n=a(r)^{n-1}[/tex]
Where, a is the first term and r is the common ratio.
Substitute [tex]a=16,r=5,n=6[/tex] to get the 6th term.
[tex]a_6=16(5)^{6-1}[/tex]
[tex]a_6=16(5)^{5}[/tex]
[tex]a_6=16(3125)[/tex]
[tex]a_6=50000[/tex]
Therefore, the 6th term of the given sequence is 50000.
Hellpppppppppp pleaseee
Amari claims that a rectangle is sometimes a parallelogram but a parallelogram is always a
rectangle. Is she correct? Explain if you agree or disagree with her and why.
Answer:
The statement is false.
Step-by-step explanation:
A parallelogram is a figure of four sides, such that opposite sides are parallel
A rectangle is a four-sided figure such that all internal angles are 90°
Here, the statement is:
"A rectangle is sometimes a parallelogram but a parallelogram is always a
rectangle."
Here if we found a parallelogram that is not a rectangle, then that is enough to prove that the statement is false.
The counterexample is a rhombus, which is a parallelogram that has two internal angles smaller than 90° and two internal angles larger than 90°, then this parallelogram is not a rectangle, then the statement is false.
The correct statement would be:
"A parallelogram is sometimes a rectangle, but a rectangle is always a parallelogram"
Use substitution to solve the
following system of equations.
- 2x + 4y = -18AND x = y + 3
m*n= [tex]\sqrt{x} mn-n2, then 5 *3\\[/tex]
Which graph represents the following piecewise defined function?
Answer:
A on Edge
Step-by-step explanation:
Just took the test and got a 100
The graph that represents the following piecewise defined function is of f(x) = x; x <-2 , -2; -2 < or = to x < or = to 1, x-3; x> or = to 1 is the first graph (Image attached)
What is a piecewise function?A piecewise function is known to be a function that has been formed from pieces of a lot of functions over a lot of intervals.
An example, we can say a piecewise function f(x) where f(x) = -7 when -7 < x ≤ -4, f(x) = 4 when -4 < x ≤ -1, and f(x) = -5 when -1 <x ≤ 7.
The option that best explain the piecewise defined function is the image attached.
Learn more about piecewise defined function from
https://brainly.com/question/26145479
find the
percent of change.
35 pounds to 42 pounds
Answer:
I think it is 20%.
Step-by-step explanation:
35 * 0.2 = 7
35 + 7 = 42
If the height of the parallelogram shown is increased by 1 cm and the base is increased by 2 cm, what is the area of the new parallelogram?
A parallelogram with a base of 9 centimeters and a height of 4 centimeters.
28 cm2
39 cm2
55 cm2
60 cm2
My main problem: The base isn't at the top, so therefore I am confused. It should be on top of the shape but it is not. If it was I could figure it out.
So sorry I messed it up I let you down :(
Answer:
55 cm²
Step-by-step explanation:
In a parallelogram, the top base is equal to the bottom base (and the sides are equal to each other too!)
So the top and bottom base are both 9, and the left and right sides are both 5.
So, to solve, we need to use the equation:
(4 + 1) * (9 + 2) = 5 * 11 = 55 cm²
Hey guys, hope your day is going well, can you plz help me with is question thank you, i will give 10 pts.
theres not picture so like i cant help u with that
The temperature in Juneau, Alaska at noon was -8 degrees Celsius. By 1 PM, the temperature increased by 10 degrees. Draw a number line to represent the situation and determine the temperature at 1 PM.
Answer:
2 degrees
Step-by-step explanation:
1) The temperature at 12:00 PM was -8 degrees celsius
2) The temperature at 1:00 PM was 10 degrees higher than at 12:00 PM
3) -8 + 10 = 2
4) The temperature at 1:00 PM was 2 degrees celsius
5) Draw a number line with the labels 12:00 PM and 1:00 PM on either end
6) Label above 12:00 PM -8 degrees celsius, and above 1:00 PM 2 degrees celsius
7) Draw an arrow pointing from 12:00 PM towards 1:00 PM to show that the temperature changes between 12:00 PM and 1:00 PM
I hope this helps :D
Answer:the answer is -4f
Step-by-step explanation:
the nth term of a sequence is 6 - n work out the first three terms and the 20th term of the sequence.
please help
Step-by-step explanation:
a_n=6-n
➜a_1=6-1
➜5➜,a_2=6-2
➜4➜a_3=6-3
➜3➜a_20=6-20
➜-14Answer this question to get marked as brainliest!!!!!!
dont just comment for points.
Answer:
that looks good
Step-by-step explanation:
please help me i cant get it right
Answer:
-60%
22 - 56
__________ x 100 ~ -60.7
~
56
Round 60.7
-60%
Hope this helps
-Tobie the dog <3
Answer:
61%
Step-by-step explanation:
1) We are changing the percent from 56 down to 22
2) This means that there will be a negative change in percent
3) This is because the new value (22) is smaller than the old value (56)
4) We must find the change from 56 to 22 in a percent
1) Find the difference between 56 and 22 as a number.
The difference between 56 and 22 is 34
2) Divide the result from Step 1 by the starting number 56.
34 ÷ 56 = 0.60714285714
3) Multiply the result from Step 2 by 100 to get it in terms of percent.
0.60714285714 x 100 = 60.71
4) Round the result from step 3 to the nearest percent.
60.71 ≈ 61%
Make sure you round to the nearest whole percent. In this case it would be 61%
Find the volume. Use pi as part of the equation. Round to the nearest 10th
Answer:
301.4 ft.
Step-by-step explanation:
The radius of this circle is 4; the height of this circle is 6.
Using the formula, πr²h, we can plug-in the unknown values.
In the formula, 'r' means radius, 'h' means height, 'π' means pi. 3.14 is often a substitute for pi.
πr²h - π4² · 6 = 301.44.
301.44 rounded to the nearest tenth is 301.4.
Therefore, the volume of this cylinder is 301.4 ft.
WILL MARK BRAINLIEST HELP ASAP ASAP EASY POINTS 20 POINTS
Answer choices are
4
5
6
7
8
Answer:
5
Step-by-step explanation:
Which expression represents the following calculation? Add 3.2 to the quotient of 8.4 and 6.