Given :
A parallelogram has sides 8 ft and 14 ft the height corresponding to the 14 ft base is 4 ft.
To Find :
The height corresponding to the 8 ft base.
Solution :
Since, both parallelogram are similar. So, ratio of the sides of parallelogram is similar in both the cases.
[tex]\dfrac{h_1}{h_2}=\dfrac{b_1}{b_2}\\\\\dfrac{8}{14}=\dfrac{h_1}{4}\\\\h_1 = \dfrac{8\times 4}{14}\\\\h_1 = 2.285 \ ft[/tex]
Therefore, the height corresponding to the 8 ft base parallelogram is 2.285 ft.
Kayla is going to invest in an account paying an interest rate of 2.9% compounded
monthly. How much would Kayla need to invest, to the nearest cent, for the value of
the account to reach $42,000 in 6 years?
Answer:
the answer is 48m^2!
Step-by-step explanation:
Answer:
The answer is 35299.88. Hope this helps
in this in this equation y equals 14 x what is the constant of proportionality
Answer:
We conclude that the value of the constant of proportionality.
k = 14Step-by-step explanation:
We know that if 'y' varies directly with 'x', we use the equation
y ∝ x
y = kx
where 'k' is called the constant of proportionality.
Given the equation
y = 14x
comparing with the equation
y = kx
Thus,
k = 14
Therefore, we conclude that the value of the constant of proportionality.
k = 14Hilda adds 5 to a number, then multiplies the sum by -2. The result is 6. Write an equation to find the number, x. What is the number?
Answer: -8
Step-by-step explanation:
If we add 5 to -8, that will be -3. Then if we multiply -3 with -2, it equals 6 because when two negatives multiply with one another the answer will be positive.
So in conclusion, the number is -8.
Hope this helps!
Mrs. Willy bought 3.5 pounds of ground turkey and 2.5 pounds of white fish. The white fsh is $4.60 per pound cheaper than the ground turkey. If she paid a total of $51.50, what is the price per pound for the ground turkey and the price per pound for the white fish?
aight can you guys help, it’s a one-step equation and i’m smol brain, and can you give me a step-by-step cuz i forgot how to do it, thank youuuuu<3
Answer:
16
Step-by-step explanation:
The variable a minus 10 equals 6. If you substituted a for 16, and subtracted 10, you'd get 6. Substituting the rest of the numbers and subtracting 10 wouldn't give you 6.
) Emma already owns 8 hair bands, and additional hair bands are priced at 3 for a dollar.
How much money does Emma need to spend on new hair bands in order to own a total of
47 hair bands?
Answer:$15.66
Step-by-step explanation:
simplify the product. write (x + 2)(x − 5) in standard form. Show your work
Answer:
x^2-3x-10
Step-by-step explanation:
Answer:
The answer is x²-3x-10
Step-by-step explanation:
(x + 2)(x − 5)
x²-5x+2x-10
x²-3x-10
Write a simplified expression that represents the perimeter of an irregular quadrilateral with some de lengths (2 1/4t - 5) (4t + 3) (1/2t - 1) (3t + 2)
Answer:
[tex]Perimeter = \frac{39t-4}{4}[/tex]
Step-by-step explanation:
Given
[tex]Lengths: (2\frac{1}{4}t - 5), (4t + 3), (1/2t - 1), (3t + 2)[/tex]
Required
Determine the perimeter
The perimeter is calculated as the sum of the lengths of the irregular shape.
i.e.
[tex]Perimeter = (2\frac{1}{4}t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)[/tex]
Remove brackets
[tex]Perimeter = 2\frac{1}{4}t - 5 + 4t + 3 + 1/2t - 1 + 3t + 2[/tex]
Collect Like Terms
[tex]Perimeter = 2\frac{1}{4}t +4t + 1/2t + 3t - 5 + 3 - 1 + 2[/tex]
[tex]Perimeter = 2\frac{1}{4}t +4t + 1/2t + 3t -1[/tex]
Convert mixed number to improper fraction.
[tex]Perimeter = \frac{9}{4}t +4t + 1/2t + 3t -1[/tex]
Take LCM
[tex]Perimeter = \frac{9t + 16t + 2t + 12t}{4} -1[/tex]
[tex]Perimeter = \frac{39t}{4} -1[/tex]
Take LCM
[tex]Perimeter = \frac{39t-4}{4}[/tex] --- The perimeter of the shape
We want to find the perimeter of the irregular quadrilateral given that we know its lengths. By direct computation, we will get:
P(t) = (39/4)*t - 1
Remember that for any figure, the perimeter is defined as the sum of the lengths of each side.
Here we have that the lengths of the four sides of the quadrilateral are:
(2 1/4t - 5)
(4t + 3)
(1/2t - 1)
(3t + 2)
So we must sum that, we will get:
P = (2 1/4t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)
Notice that in the first part we have a mixed number, we can rewrite it as:
2 + 1/4 = 8/4 + 1/4 = 9/4
Then the sum is:
P = ((9/4)t - 5) + (4t + 3) + (1/2t - 1) + (3t + 2)
Now we simplify this sum:
P = (9/4 + 4 + 1/2 + 3)*t + (-5 + 3 - 1 + 2)
P = (39/4)*t - 1
So the perimeter, as a function of t, is:
P(t) = (39/4)*t - 1
If you want to learn more, you can read:
https://brainly.com/question/11971721
Simplify the expression
\[\frac{1}{\sqrt{2}} +\frac{3}{\sqrt{8}} + \frac{6}{\sqrt{32}}.\]
8 = 2³ and 32 = 2⁵, so
√(8) = √(2²•2) = 2√(2)
√(32) = √(2⁴•2) = 2²√(2) = 4√(2)
Then
1/√(2) + 3/√(8) + 6/√(32)
= 1/√(2) + 3/(2√(2)) + 6/(4√(2))
= 4/(4√(2)) + 6/(4√(2)) + 6/(4√(2))
= 16/(4√(2))
= 4/√(2)
Optional step: Rationalize the denominator by multiply this by √(2)/√(2) to get
4/√(2) • √(2)/√(2) = (4√(2))/2 = 2√(2)
which you can also write as √(8).
Help me pleaseeeee!!!
Answer:
quadrant 4
Step-by-step explanation:
Answer:
Quadrent 4
Step-by-step explanation:
the bottom left quadrent if quadrent 4 top right is 1 top left is 2 and bottom right is 3
Please help me out!!!!!
Answer:
The domain is the range of values that the function expands over.For example x^2 has a domain of all real values on the ordinary number line.Recognize that 4/x is simply a modification of 1/x.Hence the graph looks like two parabolic motions on the x-y plane So the domain is [tex]( - \infty, 0) U(0 ,\infty )[/tex]Note that X cannot equal 0.Hope this helps! Rate positively and give brainlistEvaluate 2x+5(x-8) when x = 2
What is 4,389 + 8,038
Answer:
12427
Step-by-step explanation:
Answer:
12,427
Step-by-step explanation:
Yusef drove 130 miles in 2.5 hours. Which equation can be used to calculate r, the average speed at which Yusef drove?
A.
r=130−2.5
B.
130=r2.5
C.
r=1302.5
D.
130=r+2.5
PLEASE HELP! ITS FOR A TEST!!
Answer:
B
Step-by-step explanation:
It's B my guy
Answer:
B.)
Step-by-step explanation:
r= 130/2.5
130=r2.5
it would be 52 because you have to divide.... so you would divide 130 by 2.5 and then you would get 52. hope this helps.
Which of the following ratios is equivalent to 2:3
A) 1/2
B) 4/6
C) 12/13
D)20/25
Answer:
B:4/6
Step-by-step explanation:
Answer:
B)4/6
Step-by-step explanation:
480 into ratio 1:3:4
Step-by-step explanation:
60: 180: 240
hope it helps!
-b+ 3x = C + 5b
Solve for x in terms of b and c
I NEED HELP
Answer:
x = (c + 6b)/3
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
-b + 3x = c + 5b
Step 2: Solve for x
Add b to both sides: 3x = c + 6bDivide 3 on both sides: x = (c + 6b)/3(4, -4) and (-8, -1)
This need to be put in slope intercept form and I need the steps thank you!
Answer:
y = [tex]\frac{-1}{4}[/tex]x - 3
Step-by-step explanation:
(4, -4) (-8, -1)
y = mx + b
equation for slop: [tex]\frac{y1 - y2}{x1 - x2}[/tex]
[tex]\frac{-4 + 1}{4 + 8}[/tex] = [tex]\frac{-3}{12}[/tex] = [tex]\frac{-1}{4}[/tex]
y = [tex]\frac{-1}{4}[/tex]x - 3
Please answer A,B,C &D. Question is in the pic.
Answer:
A. same point.
b. in center
c. triangle centroid
d. single point
what is dark matter
can we travel faster than speed of light
what is chlorophyll
Step-by-step explanation:
No we can't travel faster than speed of light as it is the fastest
Chlorophyll is a pigment that absorbs light of particular wavelengths (mainly blue and red) .Chlorophyll in green plants spread out on stacks of membranes in chloroplasts.
Dark matter ia a material that we cannot see but we know that it exists because of it's effect on the objects and it is composed of particles that do not absorb,reflect or emit light.
Answer:
1. Dark matter is material that don't seen directly, it neither absorb anything, neither reflect and emit light.
2. No there is nothing which can travel faster than light.
3. In simple language, chlorophyll is those pigment which is present in all green plants and mainly responsible for the process of photosynthesis
Step-by-step explanation:
1.We can say there is dark matter but the only problem is we don't have any access to see it.
2.there is nothing faster than light because speed of light and time doesn't exist beyond any point.
My friend Dubble got 10 rews and corazs for about $32. Rews for $2 each and some corazs for $8 each
Answer:
"Dubble" bought 10 rews for $2.00 each and 1 corazs for $8.00 each
-I put quotation marks on Dubble bc i didnt know if it was a boy or girl name sorryyy its.. um.. unique :) -
Step-by-step explanation:
The price for the rews is 10x 2 because the price of each is $2 and he got 10 so he spent $20 on rews.
Then you subtract the total amount of money "Dubble" used buying these things and the amount of money "Dubble" used on the rews which is 32-20=8
The last step is that you divide 8 by the pice of each corazs which is 8 divided by 8 so the answer is 1.
Hope this helped you sorry im a little late bubs.<3
The point A(-6, 0) is reflected over the y-axis. What are the coordinates of the resulting point, A′?
Answer:
(6, 0)
Step-by-step explanation:
Ill mark brainliest pls help
Answer:
Yes it is
Step-by-step explanation:
The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen tried to find the change in temperature per hour. Her work is shown below.
Negative 15 and one-half divided by 5 and three-fourths = negative StartFraction 31 over 2 EndFraction divided by StartFraction 23 over 4 EndFraction = negative StartFraction 31 over 2 EndFraction times StartFraction 23 over 4 EndFraction = Negative StartFraction 713 over 8 EndFraction
When she checked the answer by estimating, it did not make sense. What error did Wen make?
Answer:
-3 Farenheit change per hour
She didnt divide properly
Step-by-step explanation:
PLZ MARK BRAINLIEST.
Answer:
C
Step-by-step explanation:
The rug in Diana's dining room is 216 inches by 240 inches. She wants to put a similar-sized rug in her living room. What size rug would be similar to the dining room rug?
A. 84 inches by 96 inches
B. 108 inches by 110 inches
C. 96 inches by 118 inches
D. 72 inches by 80 inches
I"LL GIVE BRAINLIEST!!!!
Answer:
D
Step-by-step explanation:
In order for the rug to be similar to the first rug, the measurements must have the same ratio as the original measurements.
Longer over shorter: 240/216 = 10/9
Let's look at A: 96/84 = 8/7 (NOT 10/9)
Let's look at B: 110/108 = 55/54 (NOT 10/9)
Let's look at C: 118/96 = 59/48 (NOT 10/9)
Let's look at D: 80/72 = 10/9 (= 10/9)
D is similar
Hope this helps!
is -/17 a rational number
Answer:
17 is a rational number because it can be expressed as the quotient of two integers: 17 ÷ 1.
32 + 5a = -8(4a - 4)
Answer:
a=0
Step-by-step explanation:
Answer:
44=-1a
Step-by-step explanation:
32+5a=-8-4+4a
32+12=-5a+4a
44=-1a
Find the area of the square ABCD
Step-by-step explanation:
Area of Square ABCD = 10m * 10m = 100m².
Answer:
Area of Square ABCD = 10m * 10m = 100m².
Step-by-step explanation:
Hope this helped have an amazing day!
The blue figure is a translation of the black image. Write a rule to describe the translation.
Answer:
The point at the Origin was moved down 4 and right 2
Step-by-step explanation:
triangle RST is translated 6 units to the left and 4 units up to create triangle R'S'T'.
Answer: (x,y) —> (x-6, y+4)
Step-by-step explanation:
Answer:
(x,y) —> (x-6, y+4)
Step-by-step explanation:
:)
