Answers
Answer:
Area of the composite figure = 84 in²
Step-by-step explanation:
Area of the composite figure = Area of rectangle DEFG + Area of rectangle BCGH + Area of triangle ABH
Area of rectangle DEFG = DE × EF
= 5 × 10
= 50 in²
From ΔBHA,
AB = ED = 5 in [Given]
AH = FA - (GH + FG)
= 15 - (7 + 5)
= 15 - 12
= 3 in.
By applying Pythagoras theorem in ΔABH,
AB² = HB² + AH²
5² = HB² + 3²
25 - 9 = HB²
HB = √16
HB = 4 in
Area of rectangle BCGH = BC × HB
= 7 × 4
= 28 square in.
Area of triangle ABH = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]
= [tex]\frac{1}{2}(BH)(AH)[/tex]
= [tex]\frac{1}{2}(4)(3)[/tex]
= 6 in²
Therefore, area of the composite figure = 50 + 28 + 6
= 84 in²
Related Questions
*EASY* I WILL GIVE BRAINLIST TO THE FIRST RIGHT ANWSER
Ruby is visiting San Francisco. From her hotel she walks 2 blocks east an 4 blocks north to a coffee shop. Then she walks 4 blocks west and 3 blocks north to a museum. Where is the museum in relation to her hotel?
here's the format for the answer if it helps : The museum is _ blocks _(West/East) and _ blocks _(South/North) of her hotel.
Answers
Answer:
Step-by-step explanation:
Given m || n, find the value of x and y.
m
(8x-5)
(y+16)
n
(5x-10)
Answers
Answer:
x=6
y=9 so it is the answer....
pls answer me ill give points and brainlest
Answers
Answer:
Sorry is there any more information i will then change answer
Step-by-step explanation:
At what % does a 20,000 dollar loan taken out for 10 years have a monthly payment of 202.49?
Answers
Answer:
Step-by-step explanation:
If 96 of the 224 participants in club activities are residents, what is the ratio of nonresidents to residents who participate in club activities? Write the ratio in lowest terms as a fraction or with a colon.
Pls help a girl out
Answers
A women buys a coat through the mail for $250 plus 9% sale tax. If another 10% is added onto this total for shipping and handling, what is the total cost of the coat ?
Answers
Answer:
Find 9% of 250 by turning 9% into a decimal.
.09 x 250 gives you 22.50
add 22.50 to 250
now you have 272.50
now find 10% of 272.50 by converting 10% into a decimal.
.10 x 272.50 gives you 27.25
Add that to 272.50 and you total cost is
$299.75
whats 10x5/12 please help
Answers
Answer:
Step-by-step explanation:
Hey ! Can anyone help me with this question please ? Thank you
Answers
Answer:
167°
Step-by-step explanation:
x = 167°
Help help helpppo plz plz plz I forgot how to do this it is for my Lil bro so plz help meh
Answers
Answer:
6 is greater than -7.
-7 has the greater absolute value.
Step-by-step explanation:
Any number that is not negative is going to be greater than any number that is negative. So 6 is greater than -7. But with absolute value it's a little bit different. You can just think about it in terms of distance. Whichever number is further from zero is going to have the greater absolute value whether it's negative or not.
Classify each table as linear, exponential, or neither.
.1 x / y
-3 6
-2 0
-1 -4
0 -6
1 -6
2 -4
3 0
4 6
.2 x / y
-2 -2
-1 2
0 6
1 10
2 14
3. x / y
-2 1/9
-1 1/3
0 1
1 3
2 9
Answers
9514 1404 393
Answer:
neither (y=(x-.5)^2-6.25)linear (y=4x+6)exponential (y=3^x)Step-by-step explanation:
1. Successive y-values have neither a common difference nor a common ratio. The table is neither linear nor exponential.
__
2. Successive y-values differ by 4. The table is linear.
__
3. Successive y-values have a ratio of 3. The table is exponential.
_____
Additional comment
For evenly-spaced x-values, the y-values will have a common difference for a linear function, and a common ratio for an exponential function.
If the table can be represented by a polynomial function, the level at which differences are constant will tell the degree of the polynomial. First differences are constant for a degree 1 (linear) function. Second differences are constant for a degree 2 (quadratic) function. This is the case in Table 1, where second differences are 2.
If log10 x=2, what is the value of X
Answers
Answer:
x=100
Step-by-step explanation:
log10 x=2
10^2=x
100=x
Answer:
C
Step-by-step explanation:
[tex]\log_{10}x=2\\10^2=x\\x=100[/tex]
On Monday, your bank account balance was -$12.79. Because you didn't realize this, you wrote a check for
$30.56 for groceries.
Answers
Explanation: -12.79 - 30.56 = -43.35
Ice on a lake gets thicker as long as the temperature is below freezing. On a certain lake it took 8 days for the ice to reach a thickness of 3 inches. At what rate was the ice growing over these 8 days in inches per day?
Answers
The average rate of growth of the ice can be found by dividing the thickness by the number of days of growth
The growth rate of the ice over the 8 days is 0.375 inches/day
Reason:
The known information on the ice are;
The time it took the ice to reach a thickness of 3 inches = 8 days
Required:
The (average) rate that the ice is growing in c=inches per day
Solution:
[tex]Rate \ of \ growth \ of \ ice= \dfrac{Increase \ in \ thickness}{ Time} = \dfrac{\Delta \ Thickness}{\Delta T}[/tex]
Therefore;
[tex]Rate \ of \ growth \ of \ ice= \dfrac{3 \ inches}{ 8 \ days} = 0.375 \ inches/day[/tex]
The (average) rate of growth of the ice over the 8 days is 0.375 inches per day
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Nathan usually drinks 35 ounces of water per day. He read that he should drink 68 ounces of water per day. If he starts drinking 68 ounces, what is the percent increase? Round to the nearest percent.
The percent increase is %.
Answers
The increase of water intake would be 33 oz, 33% of 68 is 22.
The curve with equation ya = 224 – 14x² is called a kampyle of Exodus. Find an equation of the tangent line to this curve a
the point (3, -6).
An equation of the tangent line to the curve at the point (3, -6) is
Answers
Answer:
Showing results for The curve with equation ya = 224 – 14x² is called a kampyle of Exodus. Find an equation of the tangent line to this curve a the point (3, "-6)." An equation of the tangent line to the curve at the point (3, "-6)" is
Search instead for The curve with equation ya = 224 – 14x² is called a kampyle of Exodus. Find an equation of the tangent line to this curve a the point (3, -6). An equation of the tangent line to the curve at the point (3, -6) is
Step-by-step explanation:
Step By Step explanation is up you can see.
I hope you all like this answer quys
Mark as brainlist.
rate my answer guys.
Thank you ❤️.
You and your mom enter a drawing with 3 different prizes. A total of 10
people entered the drawing, and prizes are awarded randomly.
There are 720 ways to award the prizes.
What is the probability that you win
prize?
first prize and your mom wins second
Answers
Answer:
Step-by-step explanation:
Number of people who entered the drawing = 10
Number of prizes = 3
Number of ways to award the prize = 720 ways
The total number of ways that 3 prizes can be awarded to the 10 people can be determined as:
10*9*8 = 720
The total number of ways in which I win the first prize and my mom wins the second prize would be 1*1*8 = 8
Thus the probability that I win the first prize and my mom wins the second prize would be 8/720
Find the equation of this line
Answers
Answer:
x-3y=-6
Step-by-step explanation:
-3 1 3 3
Slope= (3-1)/(3--3)=2/6=1/3
y-intercept=2
y=mx+c
y=1/3 x+2
3y=x+6
x-3y=-6
Jason, murray, and dana went fishing. Dana caught a red snapper. Jason caught a tuna with a weight 3 times as great as the weight of the red snapper. Murray caught a sailfish with a weight 12 times as great as the weight of the red snapper. If the combined weight of the three fish was 208 pounds, how much did the tuna weigh?
Answers
Answer:
Tuna = 39 pounds
Red Snapper 13 pounds
Sailfish = 156 pounds
Step-by-step explanation:
T = 3x
RS = x
S = 12x
3x + x + 12x = 208
16x = 208
x = 208/16
x = 13
Tuna = 3(13)=39
Red Snapper = 13
Sailfish = (12)(13) = 156
GCF of 27 and 45 and how to solve with either Prime factorization or the step diagram or the tree method help now pls
Answers
Answer:
( 3 x 3 x 3 ) and ( 3 x 3 x 5 ) The GCF of 27 and 45 is 3 x 3 = 9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Prime factorization of 27 and 45 is (3 × 3 × 3) and (3 × 3 × 5) respectively. As visible, 27 and 45 have common prime factors. So, the GCF of 27 and 45 is 3 × 3 = 9.
Help
Solve the inequality. Then, graph the solution set on a number line. (Show all your work)
Answers
that's what it's graph looks like.
Step-by-step explanation:
[tex] |2w + 8| \geqslant 15[/tex]
[tex] \implies \mathsf{2w + 8 \geqslant 15 \: }\\ \mathsf{or }\\ \mathsf{ \: 2w + 8 \leqslant - 15}[/tex]
(that's a property, if |x| >= a
=> x >= a or x <= -a)
[tex] \implies \mathsf{2w \geqslant 15 - 8\: }\\ \mathsf{or }\\ \mathsf{ \: 2w \leqslant - 15 - 8}[/tex]
[tex]\implies \mathsf{2w \geqslant 7\: }\\ \mathsf{or }\\ \mathsf{ \: 2w \leqslant -23}[/tex]
[tex]\implies \mathsf{w \geqslant \frac{7}{2} \: }\\ \mathsf{or }\\ \mathsf{ \: w \leqslant \frac{ - 23}{2} }[/tex]
Determine if the following table represents a linear function. If so, what’s the rate of change?
Answers
The values in the table represent a linear function.
The correct option is; Yes; The rate of change = 3/2
What is a linear function?A linear function is a function forms a straight line when plotted on the coordinate plane.
The values in the table represent a linear function, where we get;
The first difference is constant
The subsequent x-values increase by the same value
The increase the subsequent x-values is; 4 - 2 = 6 - 4 = 8 - 6 = 2, which is a constant
The first difference in the y-values is; 6 - 3 = 9 - 6 = 12 - 9 = 3
The first difference is a constant, 3, therefore, the values in the table represent a linear function.
The slope or rate of change is the ratio of the first difference to the difference in subsequent x-value, therefore;
The rate of change = 3/2
The correct option is therefore; Yes, rate of change = 3/2
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An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide.
1. What scale factor is being used to make the image?
A scale factor of
2. How tall is the actual book?
inches
Answers
Answer: 6, 18
Step-by-step explanation:
a. actual width/scaled width = 9/1.5 = 6
b. scaled width*scale factor = 3*6 = 18
> The cost of a popsicle at the snack stand is $0.75. Let p represent the number of popsicles and c represent total cost. Use an equation to represent the relationship between the numbers of popsicles bought and the total cost. Type your answer below.
This is what my previous tutor sent, that I don’t understand:
popsicles price: p = 0.75
c = cost
x = number of popsicles bought.
cost = popsicle price * number bought
c = p * x
c = 0.75x
Answers
Answer:
SWE
Step-by-step explanation:
Can somebody help me with my work please?
Answers
sure what grade are you in
Graph the following features: Slope = 3/2 Y-intercept = 5
Answers
x2−5x+8 if x=3 help me
Answers
Step-By-Step:
If x=3 your equation would be;
3•2-5•3+8 mind you, • is a multiplication sign. Any time you have an X, Y, any variable really you multiply.
So, 3•2 is 6, 5•3 is 15,
6-15+8=-1
Find the value of g for which MATH is a parallelogram.
A. 5
B. 6
C. 7
D. 10
Answers
Answer:
the answer is b.6
-------------------------
Please help
Due tmr morning
Answers
Answer:
2 / 6 = 0.3333...
4 / 6 = 0.6666...
5 / 6 = 0.83333...
Step-by-step explanation:
Answer: there you go
Step-by-step explanation:
2/6 = 0.3
4/6 = 0.6
5/6 = 0.83
Select the correct answer. The population of a community, , is modeled by this exponential function, where x represents the number of years since the population started being recorded. p(x) = 2,400(1.025)x What is the approximate population 3 years after the population started being recorded?
A. 7,380 people
B. 2,460 people
C. 2,584 people
D. 14,887 people
Answers
The approximate population 3 years after the population started being recorded is 2584 people option (C) is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a×
where a is a constant and a>1
It is given that:
The population of a community is modeled by this exponential function, where x represents the number of years since the population started being recorded:
p(x) = 2,400(1.025)×
Plug x = 3 years in the above function.
P(3) = 2400(1.025)³
P(3) = 2400x1.0768
P(3) = 2584.53 ≈ 2584 people
Thus, the approximate population 3 years after the population started being recorded is 2584 people option (C) is correct.
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The polynomial of degree 4, P ( x ) , has a root of multiplicity 2 at x = 1 and roots of multiplicity 1 at x = 0 and x = − 2 . It goes through the point ( 5 , 336 ) . Find a formula for P ( x ) . P ( x ) =___
Show your work
Answers
We want to find a polynomial given that we know its roots and a point on the graph.
We will find the polynomial:
p(x) = (183/280)*(x - 1)*(x - 1)*(x + 2)*x
We know that for a polynomial with roots {x₁, x₂, ..., xₙ} and a leading coefficient a, we can write the polynomial equation as:
p(x) = a*(x - x₁)*(x - x₂)...*(x - xₙ)
Here we know that the roots are:
x = 1 (two times)x = 0x = -2Then the roots are: {1, 1, 0, -2}
We can write the polynomial as:
p(x) = a*(x - 1)*(x - 1)(x - 0)*(x - (-2))
p(x) = a*(x - 1)*(x - 1)*(x + 2)*x
We also know that this polynomial goes through the point (5, 336).
This means that:
p(5) = 336
Then we can solve:
336 = a*(5 - 1)*(5 - 1)*(5 + 2)*5
336 = a*(4)*(4)*(7)*5
336 = a*560
366/560 = a = 183/280
Then the polynomial is:
p(x) = (183/280)*(x - 1)*(x - 1)*(x + 2)*x
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