Answers
Answer:
[tex]31\:\text{square units}[/tex]
Step-by-step explanation:
We can break the composite figure into two triangles and two trapezoids. The area of a triangle is given by [tex]A=\frac{1}{2}bh[/tex] and the area of a trapezoid is given by [tex]A=\frac{b_1+b_2}{2}\cdot h[/tex] (average of the bases multiplied by the height).
Area of first triangle (larger triangle to the figure's left): [tex]\frac{1}{2}\cdot 4\cdot 4=8[/tex]
Area of second triangle (smaller triangle to the figure's right ): [tex]\frac{1}{2}\cdot 2\cdot 5=5[/tex]
Area of first trapezoid (smaller trapezoid directly underneath second triangle and adjacent to both triangles): [tex]4\cdot 2 =8[/tex]
Area of first triangle (larger triangle to the figure's left): [tex]5\cdot 2=10[/tex]
Thus, the area of the entire figure is:
[tex]8+5+8+10=\boxed{31\:\mathrm{units^2}}[/tex]
Related Questions
PLS HELP
Given the following diagram, find the required measures.
Given: l || m
m∠1=120
m ∠3=40
m ∠5=
40
120
60
Answers
Answer:
60
Step-by-step explanation:
Alternate angels are the same
so angle 5 is equal to angle 2 and angle 2 is 60 because 180-120=60
Answer:
60
Step-by-step explanation:
Kyle is making a frame for a rectangular piece of art. The length of the frame is 3 times the width, as shown below. A rectangle with a length of 3 x and height of x. If Kyle uses 18 feet of wood to make the frame, what is the length of the frame? 6.75 4.50 2.25 9.00
Answers
Explanation:
Let the width be x
Length = 3x
Perimeter of frame = 18
2(l + w) = 18
2(3x + x) = 18
2(4x) = 18
8x = 18
x = 18/8
x = 2.25 feet
Answer:
A 6.75
Step-by-step explanation:
i got a 100% on this test/quiz
the price p of an aluminum tube is jointly proportional to its radius r and the length l. if a 12-foot pipe with 5-inch radius costs 5250 pesos, how much will be the cost of a 9-foot pipe with a 6-inch radius?
Answers
Answer:
4725 pesos
Step-by-step explanation:
The price p of an aluminum tube is jointly proportional to its radius r and the length l.
For joint variation, we have the expression:
p ∝rl
Hence
p = krl
Step 1
Solving for k
if a 12-foot pipe with 5-inch radius costs 5250 pesos,
5250 = k × 12 × 5
5250 = 60k
k = 5250/60
k = 87.5
Step 2
how much will be the cost of a 9-foot pipe with a 6-inch radius
We make use of the expression:
p = krl
p = 87.5 × 9 × 6
p = 4725 pesos
Therefore, the cost is = 4725 pesos
HELPPPP ME ILL GIVE BRAINLEST I HAVE 5 MINS LEFT
Answers
Answer:
Question 9: 16
Question 10: 2 1/10
Step-by-step explanation:
at freddie's fruit stand peaches are on sale you can buy 10 peaches for 2.00 how much dose each peach cost
Answers
Answer:
0.20
Step-by-step explanation:
I don't know exactly what needs to be answered, but I have till the end of the day to get most of this done, so please help-
Answers
TEF = EGF + EFG
12x - 2 = ( 8x + 17 ) + ( 25 )
12x - 2 = 8x + 17 + 25
12x - 2 = 8x + 42
Add both sides 2
12x - 2 + 2 = 8x + 42 + 2
12x = 8x + 44
Subtract both sides by 8x
12x - 8x = 8x - 8x + 44
4x = 44
Divide both sides by 4
4x ÷ 4 = 44 ÷ 4
x = 11
Peter has $40.25 in his piggy bank. The amount is made up of an equal number of four coins. The coins could be 1c, 10c, 5c, 25c, 50c, and $1. Which four coin amounts are in the piggy bank, and how many of each coin. (the number of coins will be equal.)
Answers
Answer:
Step-by-step explanation:
It’s made up of the 1 dollar coin , .50 cents coin, .25 cents coin, and the .10 cents coin. If you multiply each by 25 you get the exact value , so these coins make it up but there is exactly 25 of each
Enter a decimal that equivalent to 6/100
Answers
Answer:
0.06
Step-by-step explanation:
During 1 month ,the mass of a person decreased from 50 kg to 40 kg . calculate the percentage decreased in the mass.
Answers
Answer:
Step-by-step explanation:
mass of person decreased=50kg-40kg
=10kg
decrease percentage=10/50*100
=10*2
=20%
Find the value of tan M rounded to the nearest hundredth, if necessary.
Answers
Answer:
36.9
Step-by-step explanation:
Use the formula [tex]a^2 + b^2 = c^2[/tex] to find the length of LK.
40 is the hypothenuse because it is directly across from the right angle.
[tex]a^2 + 24^2 = 40^2[/tex]
[tex]a^2[/tex] = 32
Tan is opposite over hypothenuse.
Tan M = 36.9
can someone tell me if i'm correct or not
Answers
you are correct
Step-by-step explanation:
mark me as a brainlist
Find j.
Write your answer in simplest radical form.
Answers
Answer:
Step-by-step explanation:
Solve for x algebraically, x - 15 < 25
Answers
Answer:
x<40
Step-by-step explanation:
x-15<25
Add 15 since addition is opposite of subtraction, thus cancelling the 15 out on both sides.
x-15<25
+15 +15
x<40
---
hope it helps
What exactly is a root of a logarithmic function again?
Answers
Answer:
Root, in mathematics, a solution to an equation, usually expressed as a number or an algebraic formula.
HELLPPPPPPPP I NEED THIS AMSWER IN LESS THEN 2 mins
Answers
Answer:
x = 15
m<RQP = 33degrees
Step-by-step explanation:
From the given diagram, m<P = 90degrees
Equating this to 5x+15
5x+15 = 90
5x = 90 - 15
5x = 75
x = 75/5
x = 15
m<RQP = 2x+3
m<RQP = 2(15) + 3
m<RQP = 30 + 3
m<RQP = 33degrees
write and equation in slope intercept form for the line that passes through the given points (0,7) and (1,5)
Answers
Answer:
y = -2x + 7
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - 7 / 1 - 0
-2 / 1
= -2
y = -2x + b
5 = -2(1) + b
5 = -2 + b
7 = b
what fration is equivalent to 12/48
Answers
Answer:
1/4 is the simplified fraction for 12/48.
Combine like terms.
y + 2 + 8(y + 7) =
Answers
Answer:
Step-by-step explanation:
y+2+8(y+7)
y+2+8y+56
9y+58
value of 3z when z = 1.2
Answers
Answer:
3.6 is the answer
Step-by-step explanation:
3z when z=1.2
3(1.2)=?
3*1.2=
(3*1)+(3*.2)=3+.6
Answer:
3.6
Step-by-step explanation:
If z = 1.2
3z
= 3 × (1.2)
= 3.6
Hope it helps ⚜
Which fraction is equivalent to -3/2?
A. -(3/-2)
B. 3/-2
C. -3/-2
D. -(-3/2)
no links please! :]
Answers
Answer:
It would be Choice B, since it divides to -1.5.
This is the same as when -3/2 is simplified.
Choice A would be wrong, since it would give you 1.5, due to a double negative = a postive, same with Choices C and D.
Answer:
3/-2 is the only correct solution!
Step-by-step explanation:
(please hurry) Which expression is equivalent to -6x³•x•y²•y^6?
-6x³y^8
-6x²y^12
-6^4y^8
-6^4y^12
Answers
Answer:
The third one
Step-by-step explanation:
Answer:
the third one
Step-by-step explanation:
Ok, I just need this quick question:
I will give about 50 points for an answer and if there is two answers, I will mark the first one as brainliest.
Answers
I think - 4 sin [tex]\frac{x}{2}[/tex] - 1 its probably wrong but I attempted it sorry if wrong.
what is the answer to
= √1 −
Answers
Answer:
0
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Its 1 because the square root of anything is that number having the ability to be multiplied by the same number. And that is going to be a positive number.
convert this equation to standard form. y=-7x/9+5
Answers
Answer:
7x+9y=45
Step-by-step explanation:
what is the answer help me quick!!!.
Answers
Answer:
B
Step-by-step explanation:
Remember SOHCAHTOA:
SOH = Sine is Opposite over Hypotenuse
CAH = Cosine is Adjacent over Hypotenuse
TOA = Tangent is Opposite over Adjacent
The Tan of A would be [tex]\frac{10.9}{5}[/tex]
The Tan of B would be [tex]\frac{5}{10.9}[/tex]
Therefore, B is correct.
The answer is B
Step-by-step explanation:
Tan = the abbreviation toa which means in a right angled triangle the opposite side over the adjacent side is equals to the tan of the angle.
Therefore, tan B =opposite side angle B over adjacent side angle B.
tan B=5/10.9
What is the value of x?
Answers
Answer:
x=107 degree(being vertically oppostite angle)
Step-by-step explanation:
help please !! i need it quickly
Answers
Answer: code : seashore
Step-by-step explanation :
You need to subtract each equation and the answer you get for that tube is what you list in the line underneath. Please add a comment if you have any further questions!!!
Answer=SEASHORE
6 = m/8
M=?
What is the answer for M?
Answers
Answer:
m =48
Step-by-step explanation:
1st step is to multiply both sides by 8
2nd step it would be 48=m
3rd step swap the sides.. m=48
What is the value of (-½)-⁴
A. -16
B. -1/16
C. 1/16
D. 16
Answers
Kai cuts out all the page numbers of a b\ook. He takes each number and cuts the numbers into separate digits (single digit numbers are already separate). Given that the book has 999 pages numbered 1 through 999, how many separate digits does Kai have when he is finished
Answers
Answer:
2,889 digits
Step-by-step explanation:
Total pages of the book = 999 pages
Page 1 - 9 cut separately = 9 digits
Page 10 - 99 = 90 pages
Total digits = 2(90)
= 180 digits cut separately
Page 100 - 999 = 900 pages
Total digits = 3(900)
= 2,700 digits cut separately
how many separate digits does Kai have when he is finished
Total separate digits Kai have when he is finished = 9 digits + 180 digits + 2700 digits
= 2,889 digits
Total separate digits Kai have when he is finished = 2,889 digits