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
*giving brainiest to the first correct answer. Write the equation of the line graphed.
Answers
Answer:
The equation of the line is x = 2
Answer:
x = 2
Step-by-step explanation:
When you are given a straight line whether it's horizontal or vertical on a graph and is told to write it as an equation,
it can be a horizontal line, y = the number the line is on from the y-axis
or a vertical line, x = the number the line is on from the x-axis.
In this case you have a vertical line so the equation would be
x = the number the line is on from the x-axis, which is 2 so your final answer would be
x = 2
please help, due today!
Find the length of the radius of the circle.
a. r = 3 d. r = 5
b. r = 4 e. r = 6
c. r = 4.5
Answers
Answer:
D) r=5
Step-by-step explanation:
Any triangle formed with one side of the triangle being the diameter of the circle it’s inscribed in will be a right triangle.
6²+8²=c²
36+64=c²
100=c²
√100=c
c=10
So the diameter is 10. That makes the radius 5.
Identify the volume of a regular triangular pyramid with base edge length 14 ft and height 9 ft.
Answers
Answer:
The volume is 588 ft³
Step-by-step explanation:
[tex]v = a {}^{2} \frac{h}{3} = 14 {}^{2} \times \frac{9}{3} = 588[/tex]
Answer:
254.6 ft3 F
Step-by-step explanation:
To find the volume of the pyramid, first calculate the area of the base.
As the pyramid is the regular triangular pyramid, the base is an equilateral triangle.
To find the area of the equilateral triangle, calculate the length of the height.
Since the triangle is equilateral, each angle in the triangle equals 60°.
The height forms a 30°- 60°- 90° triangle. One leg of this triangle is equal to half of the side of the large triangle, or 7 ft. The other leg of the triangle is equal to 73‾√ ft by the 30°- 60°- 90° Triangle Theorem.
Therefore, the length of the height of the triangle is 73‾√ ft.
To find the area of the base of the pyramid, B, use the formula for the area of a triangle, B=12bh.
Substitute 14 for b and 73‾√ for h.
B=12⋅14⋅73‾√
Simplify.
B=493‾√ ft2
To find the volume of the pyramid, use the formula for the volume of a pyramid, V=13Bh.
Substitute 493‾√ for B and 9 for h.
V=13⋅493‾√⋅9
Simplify.
V=1473‾√
Use a calculator to approximate.
V≈254.6 ft3
Therefore, the volume of the regular triangular pyramid is about 254.6 ft3.
If A(x1, y1), B(x2, y2), (X3, Y3), and D(xx,ya) form two line segments, AB and CD, which condition needs to be met to prove AB ICD? ОА У4 -У, У, -у, - X4 - X X - X OB. 74-Y3 + X4-X = 0 V₂ - X, X - X, oc Yo-Yay 72-Y1--1 x - x x - X, OD. 12-y, *- X, = 1 x₂ - X, Yo-Y OE Y:-72. X.-X2-0 Y₂-X, X - X,
Answers
Answer:
The answer is option C..........
To prove that AB is parallel to CD, we need to show that the slope of AB is equal to the slope of CD.
What is line segment?A line segment is a section of a line with two endpoints. A line segment, unlike a line, has a fixed length.
To demonstrate that AB is parallel to CD, we must show that the slope of AB equals the slope of CD.
The slope of AB can be calculated using the formula:
mAB = (y2 - y1) / (x2 - x1)
Similarly, the slope of CD can be calculated using the formula:
mCD = (ya - Y3) / (xx - X3)
If mAB = mCD, then AB is parallel to CD.
Therefore, the condition that needs to be met to prove AB is parallel to CD is: (y2 - y1) / (x2 - x1) = (ya - Y3) / (xx - X3)
For more details regarding line segment, visit:
https://brainly.com/question/30072605
#SPJ7
5(x+8)
Help please!!!!!!!!!!!!!!!!!!
Answers
Answer:
5x+40
Step-by-step explanation:
You would distribute 5 to x+8 and that would add up to 5x+40.
Answer:
Step-by-step explanation:
5x+40
Janine charges $8.25 per hour to walk dogs. She
walks dogs for 3 hours on Saturday and 4 hours on
Sunday. She calculates her total pay to be $57.75.
Which equation could be used to check the reasonableness of her total?
Answers
Answer:
walks dogs for 3 hours on Saturday and 4 hours on
Sunday. She calculates her total pay to be $57.75.
Which equation could be used to check the reasonableness of her total?
Step-by-step explanation: concept
Answer: Multipulcation
Step-by-step explanation:
The reason why is because you would first need to calculate how much she is owed [8.25 x 3 +(8.25 x 4)]
the distance between two points is 9 and point one is located at (-2, 2), what could be the possible coordinates of point two?
(2, 9)
(7, 2)
(11, 2)
(2, 11) HELP NOW
NO LINKS PPLS I WILL GIVE THE CROWN THING ITS WORTH 50 points
Answers
4 x 5 - (2² - 2) =?
(18 ÷ 3) + (3² - 7) =?
Answers
(18/ 3) + (3 (2) - 7) 8
PLEASE HELP................................!
Answers
Answer:
-6 and -4 only
Step-by-step explanation:
If AD is the perpendicular bisector of EB, find each measure.
Answers
Answer:
look at the picture
Step-by-step explanation:
I'm not sure about the value of x but I believe it is -23
Find the general term of series 1/2-1+2-4+
Answers
For the given sequence the general term could be defined as n/(n + 1), where 'n' is clearly a natural number.
Please help me i have no clue what the answer is :?
Answers
Answer:
1. Yes
2. They could change the 60° angle into a different one.
Step-by-step explanation:
1. Two triangles are the same if they share two side lengths with the same angle between them.
2. Since the triangles are equal if they share two side lengths with the same angle between them, if they changed the angle between 3 and 5, it'd no longer be the same triangle.
According to some sources, the African continent has about 170 million Internet users. According to the bar graph, which statement is true?
Africa has fewer users than the Middle East.
Africa has more users than Asia.
Africa has more users than Europe but fewer than Asia.
Africa has more users than the Middle East but fewer users than North America.
Answers
Answer:
D) Africa has more users than the Middle East but fewer users than North America.
Step-by-step explanation:
Hope it helps :)
Find the length of AC using Pythagorean Theorem.
Answers
Answer:
23
Step-by-step explanation:
name the angle in four ways. Then classify the angle as an acute, right, obtuse, or straight.
Answers
the angle is obtuse
What is the mass of a box that weighs 1.4 kilograms? (1,000 grams = 1 kilogram)
A. 14,000 g
B. 140 g
C. 1.4 g
D. 1,400 g
Answers
Answer:
D
Step-by-step explanation:
Answer:
it is D im 99% sure
Step-by-step explanation:
dddddddd
An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck are defective after a year of use. It has contacted customers and asked them to return to their dealer after a year to have their transmission checked. The Friendly Auto Mart sold seven of these trucks and has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission
Answers
Answer:
0.148 = 14.8% probability that they will need to order at least one more new transmission
Step-by-step explanation:
For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20% of all the transmissions it installed in a particular style of truck are defective after a year of use.
This means that [tex]p = 0.2[/tex]
Sold seven trucks:
This means that [tex]n = 7[/tex]
It has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission?
This is the probability that at least 3 are defective, that is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{7,0}.(0.2)^{0}.(0.8)^{7} = 0.2097[/tex]
[tex]P(X = 1) = C_{7,1}.(0.2)^{1}.(0.8)^{6} = 0.3670[/tex]
[tex]P(X = 2) = C_{7,2}.(0.2)^{2}.(0.8)^{5} = 0.2753[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2097 + 0.3670 + 0.2753 = 0.852[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.852 = 0.148[/tex]
0.148 = 14.8% probability that they will need to order at least one more new transmission
A lamp points toward the base of a doorway as shown below, what is the height, in feet, of the lamp
Answers
Answer: [tex]40\sqrt{3}[/tex]
Step-by-step explanation:
30-60-90 triangle- leg opposite 30 is x, leg opposite 60 is [tex]x\sqrt{3}[/tex] and the hyp. is 2x
we need to figure out X
we also know that the leg opposite 60 is = 120
[tex]120=x\sqrt{3}[/tex]
square everything
[tex]14400=3x^{2}\\4800=x^{2} \\\sqrt{4800} =x\\\sqrt{1600*3} =x\\40\sqrt{3} =x[/tex]
ΔRST~ΔUVW. If ST=36 inches, UV=45 inches, and VW=18 inches, what is the length of RS?
Answers
Answer:
hi
Step-by-step explanation:
please help again once again 10 POINTS AND 15!
Answers
40 cubic units, just count them my guy
you got a chunk of 32 and a chunk that's 8
ANSWER THE QUESTION FOR BRAINLIEST
Answers
Answer:
C, the graph is increasing when x is between -1 and 2.
Step-by-step explanation:
When it is increasing, it is getting higher up the y axis. The other two lines are going lower down the x axis so they are decreasing. This means that it has to be C.
hope this helps :)
A local city collects 8% sales tax. If the
total purchase was $216.00, then how
much was collected for sales tax?
Answers
Answer:
156.00
Step-by-step explanation:take away 8% sales tax away from it
Jake ran a full marathons of 26 miles. His average speed was 6 miles per hour. About how long did it take him to cross the finish line?
Answers
Answer:
Step-by-step explanation:
273m
Please help!! Prob and stats!!!
Answers
You roll a pair of six-sided number cubes, numbered 1 through 6. What is the probability of rolling two odd numbers? (Enter your probability as a fraction
Answers
Answer:
1/4 or 25%
Step-by-step explanation:
The probability for rolling an odd number is 50% or [tex]\frac{1}{2}[/tex] because there are 3 odd numbers, (1, 3, 5) and 6 total outcomes (1, 2, 3, 4, 5, 6). [tex]\frac{3}{6} =\frac{1}{2}[/tex]
The probability for rolling two odd numbers in a row is
[tex]\frac{1}{2} *\frac{1}{2} =\frac{1}{4}[/tex]
So, the probability of rolling an odd number twice is 25% or [tex]\frac{1}{4}[/tex].
Here are summary statistics for randomly selected weights of newborn girls: n=250, x_=32.9 hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a 95% confidence level. Are these results very different from the confidence interval 31.9 hg < μ < 34.5 hg with only 19 sample values, x_ = 33.2hg, and s = 2.9 hg?
Answers
Answer:
Step-by-step explanation:
Here are summary statistics for randomly selected weights of newborn girls: n=250, x_=32.9 hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a 95% confidence level.
The confidence interval of mean
=32.9 ± 1.96 × 6.9/250
Confidence Interval = 32.9 ± 0.5382
⚠️URGENT PLEASEEEEE HELP!!!
Find the m
Answers
Answer
It is 112
Step-by-step explanation:
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Hint: the sample proportion ( p hat) is x/n. n=195, x= 162; 95% confidence
Answers
Answer:
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. 16)n = 182, x = 135; 95 percent
✓ 16)n = 182, x = 135; 95 percent sample proportion: p-hat = 135/182 = 0.74 E = 1.96*sqrt[0.74*0.26/182] = 0.0637 95% CI: 0.74-0.0637 < p < …
Help on this math question. 25 points.
Answers
Answer:
the third one
Step-by-step explanation:
Given Angle 1 =xº and angle 2 = (x +50)°.
Find the value of x. Then find angle 1 and 2
Answers
Answer:
x=65
Angle 1=65
Angle 2=115
Step-by-step explanation:
We know that angle 1 + angle 2 = 180. Writing it in terms of x, we get x + (x + 50)= 180. Then you have 2x+50=180. Subtracting 50 from both sides gives you 2x=130. Dividing both sides by 2, you get x=65. Angle 1 is 65 degrees. 180-65=115.