The area of the rectangle is 40% larger than the area of the triangle.What is the length ,L, of the rectangle?
Answers
Answer:
10 units
Step-by-step explanation:
Area of the triangle (A') = 1/2bh
A' = 1/2bh............ Equation 1
Where b = base of the triangle, h = height of the triangle
From the diagram,
Given: b = 12.5 unit, h = 4 unit
Substitute into equation 1
A' = 1/2(12.5)(4)
A' = 25 squared unit.
Also,
Area of the rectangle (A) = Lenght(L)×width(w)
A = Lw............ Equation 2
From the question,
If the area of the rectangle is 40% larger than the area of the triangle
Therefore,
A = 1.4A'
A = 1.4(25)
A = 35 squared unit.
Also given: w = 3[tex]\frac{1}{2}[/tex] = 7/2
Substitute into equation 2
35 = L×7/2
7L = 35×2
7L = 70
L = 70/7
L = 10 units
Related Questions
Given GH with endpoints (-7,3) andH (7. - 11), what are the coordinates of the
mielpoint of GH?
Answers
Answer:
Midpoint is (0, -4)
Step-by-step explanation:
x-coordinate of midpoint = (-7 + 7)/2 = 0/2 = 0
y-coordinate of midpoint = (3 - 11)/2 = -8/2 = -4
Midpoint is (0, -4)
Answer:
(0,-4)
Step-by-step explanation:
(x1 + x2/2, y1 + y2/2)
(-7 + 7/2 , 3 + -11/2)
(0/2, -8/2)
(0,-4)
Inscribed angles math lib
Need help with 9 and 10 thank you!!
Answers
Answer:
54° and 110°
Step-by-step explanation:
The opposite angles of a cyclic quadrilateral are supplementary, sum to 180°
(9)
19x - 26 + 7x - 2 = 180
26x - 28 = 180 ( add 28 to both sides )
26x = 208 ( divide both sides by 26 )
x = 8
Then
∠ EFG = 7x - 2 = 7(8) - 2 = 56 - 2 = 54°
(10)
21x - 33 + 14x + 3 = 180
35x - 30 = 180 ( add 30 to both sides )
35x = 210 ( divide both sides by 35 )
x = 6
Then
∠ YVW = 14x + 3 = 14(6) + 3 = 84 + 3 = 87°
The inscribed angle YVW is half the measure of its intercepted arc YW, so
arc YW = 2 × 87° = 174°, then
arc XW = 174° - 64° = 110°
Cyclic quadrilateral is drawn inside a circle. The measure of the ∠EFG is 54°. The measure of the angle made by the arc XW is 110°.
What is a Cyclic quadrilateral?A cyclic quadrilateral is a quadrilateral that is drawn inside a circle. The sum of the opposite angle of the cyclic quadrilateral is always equal to 180°.
9.) As we know that the sum of the opposite angles of a cyclic quadrilateral is supplementary, therefore, their sum is 180°. Thus, we can write for
[tex]\angle GDE + \angle EFG = 180^o\\\\19x - 26 + 7x - 2 = 180\\\\26x - 28 = 180\\\\26x = 208\\\\x = 8[/tex]
Now, substitute the value of x, in order to get the measure of the ∠EFG,
[tex]\angle EFG = 7x - 2\\\\\angle EFG = 7(8) - 2\\\\\angle EFG = 56 - 2\\\\\angle EFG = 54^o[/tex]
The measure of the ∠EFG is 54°.
10.) As we know that the sum of the opposite angles of a cyclic quadrilateral is supplementary, therefore, their sum is 180°. Thus, we can write for
[tex]\angle YXW + \angle YVW = 180^o\\\\21x - 33 + 14x + 3 = 180\\\\35x - 30 = 180\\\\35x = 210\\\\x = 6[/tex]
Now, substitute the value of x, in order to get the measure of the ∠YVW,
[tex]\angle YVW = 14x + 3\\\\\angle YVW = 14(6) + 3 \\\\\angle YVW= 84 + 3 \\\\\angle YVW = 87^o[/tex]
As we know that in the inscribed∠YVW, the ∠YVW is half the measure of its intercepted arc YW, therefore, We can write it as,
arc YW = 2 × 87° = 174°, and
arc XW = 174° - 64° = 110°
The measure of the angle made by the arc XW is 110°.
Learn more about Cyclic Quadrilateral:
https://brainly.com/question/9992339
Evaluate. Write your answer as a fraction in simplest form.
Answers
PLEASE ASAP ILL GIVE BRAINLIEST.
Answers
Answer:
I believe its because it going agents the wind
Answer:
B) SOUTH
Step-by-step explanation:
70 POINTS AND BRAINLIEST
Θ is in Quadrant III and cos^2 Θ= 1/4
In two or more sentences, explain how to find the value of cotθ.
Answers
Answer:
Step-by-step explanation:
since cos ^2 = 1/4 then cos = 1/2
b/c cot is tan inverted, then cot = cos / sin
so we also know that [tex]\sqrt{3}[/tex]/2 will be sin for this same Ф
then
cot = (1/2) / ( [tex]\sqrt{3}[/tex]/2 )
cot = 1 / [tex]\sqrt{3}[/tex]
since Ф is in quad III
we know both parts of the fraction will be negative
cot = -1 / -[tex]\sqrt{3}[/tex]
but we would normally write that as a positive
PLZZZ HULPP MEEEEEEEEEE
Answers
Answer: A
Step-by-step explanation: sorry if it is wrong.
Enter values to write the function that matches the graph shown.
Answers
Answer:
h(x) = (-2x + 4)(3x − 3 )
Step-by-step explanation:
write down all the factors of 18
Answers
Answer:
[tex]\large \mathbb{FACTORS\: OF\: 18 \: :-}[/tex]
[tex]1 \times 18 = 18 \\ 2 \times 9 = 18 \\ 3 \times 6 = 18 \\ 6 \times 3 = 18 \\ 9 \times 2 = 18 \\ 18 \times 1 = 18[/tex]
➟ Excluding the repeated numbers, the factors of 18 will be ⇻ 1, 2, 3, 6, 9, 18.
Answer:
1, 2, 3, 6, 9, 18.
Step-by-step explanation:
Simplify this
(Correct answer gets brainliest)
Answers
Answer: 4.70
Step-by-step explanation:
What is the volume of the rectangular prism?
3 cm
3 cm
3 cm
Answers
Answer:
Step-by-step explanation:
9
HELP IT'S DUE IN 2 MINUTES
Answers
Answer:
D) 2² × 3³ × 7
Step-by-step explanation:
Hope this helps! Have a nice day :)
2^2•3^3•7=756
Helen has only $10 and $2 bills with her.
If the total number of bills that she has is 7 and the amount of money with her is $30, then the number of $10 and $2 bills
are, respectively:
A 0 and 7
B 1 and 6
C 3 and 4
D 2 and 5
Answers
Answer:
i think it is d
Step-by-step explanation:
Answer:
2 and 5
Step-by-step explanation:
10x + 2y = 30
x = 2
y = 5
10(2)+2(5) = 30
20+10 = 30
30=30
-Gage Millar, Algebra 2 tutor
anwers :
a. dotted
b. y=-x+4
c. y=x-4
d. y=x+1
e. solid
f. yes
g. no
Answers
Answer:
Those answers are correct
Which expression is equivalent to
Answers
[tex]{( \sqrt[3]{{x}^{2}})}^{6} = {({x}^{ \frac{2}{3}})}^{6} = {x}^{ \frac{2}{3} \times 6 } = {x}^{2 \times 2} = {x}^{4} \\ [/tex]
So the answer is the second option which is,
[tex] {x}^{4} [/tex]
will mark brainliest if correct pretty please?
Answers
Answer:
12
Step-by-step explanation:
192/(4^2)
192/16
12
Answer:
12 square inches
Step-by-step explanation:
The price of an item has been reduced by 40%. The original price was $80. What is the price of the item now?
Answers
Answer:
$48
Step-by-step explanation:
80 x 0.4 = 32
80 - 32 = 48
Hoped it Helped :-)
In 2015 there was a population of 155 opossums on and around the Gunn campus. The per capita birth rate in 2015 was 0.11/year and the per capita death rate was 0.09/year. What was the per capita growth rate of the population of Gunn opossums in 2015?
Answers
Answer: 0.02 per year
Step-by-step explanation:
When given the per capita birth rate and the per capita death rate, the per capita growth rate can be calculated as:
= per capita birth rate - per capita death rate
= 0.11 - 0.09
= 0.02/year
= 2% per year
WILL GIVE BRAINLIEST IF ANSWERED CORRECTLY A fair cube has a red face, a blue face, a green face, and a white face. During an experiment, the cube is tossed and the
color that it lands on is recorded.
The cube lands on red 4 times as often as it lands on blue. The cube lands on blue twice as often as it lands on green, and it
lands on green as often as it lands on white.
A) Create and complete a probability distribution table of the four colors.
B) Draw a bar graph to represent the probability distribution.
Upload both answers here.
Answers
Answer:
in step by step
Step-by-step explanation:
so in this chart we have red, blue, green nad white
so red is 4 times more often than blue, and blue is 2 times more often than green and green is as often as white so
so red would be the most oftenblue would be second most oftengreen and white are tied for thirdlets say it landed on red 16 timesif we do the math of 16/2 we get 8it landed on blue 8 timeshalve that again which is 4it landed on green 4 times and blue 4 timeswhich means out of 32 rolls we got red 16 times, blue 8 times, and green 4 times ad white 4 timesHope this helps i couldent really make a bar graph or a table chart but hope u can add this to a graph that u make
please help!
please
Answers
Answer:
8
Step-by-step explanation:
the table shows the function f(x) = 2x²
Rate of Change: [f(1) - f(3)] / 1-3
= 2(1²) - 2(3²) / -2
= 2 - 18 / -2
= -16/-2
= 8
Find the MEAN, MODE, MEDIAN, and RANGE for the following Data: 6, 8,4, 1,4,7
Answers
Answer:
Mean:5
Mode: 4
Range: 7
Median: 5
Step-by-step explanation:
If DF and G
are parallel lines and mZFEC = 134º, what is mZGHE?
Answers
Answer:
46
Step-by-step explanation:
Angle CED and GHE are equal as the lines are parallels. Also, the line rom D to F will be a total of 180.
Therefor, substract the angle FEC from 180 and you get the angle CED which is equal to GHE
Please help !!!!!!!!!!!!!!!!!
Answers
Answer:
1/5
Step-by-step explanation:
there are a total of 25 vehicles of which 5 are black
P(Black) = 5/25 or 1/5
Answer the following questions.
1) Solve the percent change problem using the proportion formula. List the information
given by each situation. Show the substitution into the proportional formula equation.
State the final result in a complete sentence using the appropriate unit.
A city has a sales tax rate of 9%. If Dion paid $6.30 in sales tax on a new guitar pedal, how much
was the purchase price of the pedal?
Increase or decrease:
O Increase
O decrease
Answers
Plz help and no link PLZ NO LINKS thank you;-;
Answers
Answer:
20 units
Step-by-step explanation:
4 + 4 + 5 + 7
8 + 5 + 7
13 + 7
20
What are the side lengths of square 4 and square 5 in terms of a and b? Do the two squares have the same area?
Please hurry
Answers
Answer:
Yes side lengths are the same
Step-by-step explanation:
For square 4 :
a + b
For square 5 :
a + b
Hence,
Side lengths are the same for both squares.
This can be clearly evaluated from the picture attached
32 fluid Ounces is the same as
A) 4 cups or 2 pints or 1 quart
B) 8 cups or 4 pints or 2 quarts
C) 8 cups or 2 pints or 1 gallon
D) 6 cups or 4 pints or 1 gallon
Answers
PLEASE HELP ME URGENT
Answers
Answer:
Hello! answer: 39
Step-by-step explanation:
Formula for triangles area: base × height ÷ 2
Formula for squares area: base × height
5 × 3 = 15 15 ÷ 2 = 7.5 since there are 4 triangles that are the exact same I will just multiply by 4 so I have all the triangles so 7.5 × 4 = 30 now the square is just 3 × 3 so... 3× 3 = 9 now we add these up 30 + 9 = 39 therefore the surface area is 39
Answer:
39
Step-by-step explanation:
5x3=15
15/2=7.5
7.5x4=30
3x3=9
30+9=39
GNRJGWUAU HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLease explain ALsssooooOOoo
Answers
Answer:
[tex]110 \degree = (4t + 90) \\ 4t = 20 \\ t = 5[/tex]
express cos10A in terms of sin5A
Answers
Answer:
1 - 2sin²5A
Step-by-step explanation:
cos10A = cos2(5A) = cos²5A - sin²5A = 1 - sin²5A - sin²5A = 1 - 2sin²5A
PLEASE HURRY IM TIMED Andy drove 102 miles on Monday morning. This was
of the total number of miles he drove on Monday.
Solve the equation m = 102 to find the total number of miles Andy drove on Monday.
Andy drove
miles on Monday.
Answers
Answer:
420
Step-by-step explanation: