The height of rectangle is equal to its breadth or vertical side length.
what is rectangle?A figure which has four straight sides along with 4 right angles is called rectangle. Two equal side lengths are parallel to each other, and the bigger sides are called length of rectangle and smaller sides are called breadth.
How to calculate height of rectangle?we can determine the height of rectangle by the following formula
if a rectangle has length, A and breadth, B
we know the area of rectangle is the product of length and breadth.
Area =A×B
we know the position of A is along the horizontal and position of B is along the vertical. Therefore, breadth, B refers the height of rectangle.
if we know the value of area and length we will find the height.
breadth = Area/length
height = Area/length
hence, the height of rectangle is its vertical side length.
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A recipe that serves 8 calls for 2 ½ cups of flour. How many cups of flour should you use if you want to adjust the recipe to make 12 servings?
Answer:
3 3/4 cups of flour
Step-by-step explanation:
Write and solve an equation of ratios, as follows:
8 2.5 cups
------- = ----------------
12 c
3 3/4 cups of flour to adjust the receipt as described.
Find the area of each figure and round to the nearest tenth if necessary
Given:
The figure of two semicircles with diameters 6 cm and 5 cm.
To find:
The area of the combined figure.
Solution:
It is given that the diameters of the semicircles are 6 cm and 5 cm so their radii are 3 cm and 2.5 cm respectively.
Area of a semicircle is:
[tex]A=\dfrac{1}{2}\pi r^2[/tex]
So, the combined area of two semicircles with radii 3 cm and 2.5 cm is:
[tex]Area=\dfrac{1}{2}\pi (3)^2+\dfrac{1}{2}\pi (2.5)^2[/tex]
[tex]Area=\dfrac{1}{2}\pi (9)+\dfrac{1}{2}\pi (6.25)[/tex]
[tex]Area=14.137167+9.817477[/tex]
[tex]Area=23.954644[/tex]
Round the value to the nearest tenth (one decimal place.
[tex]Area\approx 24.0[/tex]
Therefore, the area of given figure is 24.0 sq. cm.
Sally is planning the school picnic and needs to decide what food vendor to
use. She asks 500 students whether they would rather have a taco truck or a
fruit smoothie cart. The results of the survey are shown in the table.
Taco truck Fruit smoothles Total
27
250
Eighth-graders 223
Ninth-graders 240
10
250
Total
500
463
37
What is the relative frequency of eighth-graders who want fruit smoothies?
O A. 0.02
OB. 0.50
O C. 0.27
O D. 0.05
Answer:
The relative number of 8th graders tat want smoothies is 0.18. Because when finding relative frequency you divide the number which was 45 by the final total which was 250.
So the correct answer is 0.18
(This is for another question like this)
Your answer would be D.) 0.05
Answer: It’s 0.05
Step-by-step explanation:
Got it correct
Every month, $80 is withdrawn from tom's savings to withdrawn no more than $240. For how many months can tom pay for his gym membership?
Tom can pay for _______ (here are the choices)
•less than
•more than
•no less than
•no more than
Tom can pay for (the choice above) _____ months of his membership.
This is a one-step inequality btw
In the following diagram, BC is parallel to DE.
What is the measure of X?
Angles are not necessarily drawn to scale
Answer:
Your answer would be 37°
Step-by-step explanation:
Since BC and DE are parallel, certain angles will be the same, such as the missing interior angle of the triangle and ∠DAF, which will also have the same measure as x.
We know that the sum of all of the interior angles of a triangle must equal 180°. So, we add 41 and 102 to get 143. This means that the missing interior angle must be 37°, since 37+143=180.
As mentioned above, because BC and DE are parallel, the missing interior angle has the same measure as ∠DAF, which is a vertical angle to x, and therefore also has the same measure. So, the measure of x is 37°.
Hope this helps you!
The value of a new $5400 sailboat decreases 10% per year. Find its value after 5 years. Round to the nearest penny.
Answer:
FV= $3,352.98
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $5,400
Number of periods (n)= 5 years
Interest rate (i)= 10%
To calculate the future value (FV), we need to use the following formula:
FV= PV / (1 + i)^n
FV= 5,400 / (1.1^5)
FV= $3,352.98
Which classifications apply to the polygon? Check all that apply.
convex
concave
regular
hexagon
octagon
Answer:
B and D
Step-by-step explanation:
(1)/(8)-1(7)/(8) please help
Answer: -0.75
1/8 - 1(7)/8 = -3/4= -0.75
Answer:
[tex]\frac{1}{8} -1\frac{7}{8}[/tex]
[tex]\frac{1}{8} -\frac{15}{8}[/tex]
[tex]\frac{1-15}{8}[/tex]
[tex]-\frac{14}{8}[/tex]
[tex]-\frac{7}{4}[/tex]
[tex]-1\frac{3}{4}[/tex]
Step-by-step explanation:
What is the solution to 3/4 a >-16?
Answer:
a
Step-by-step explanation:
you were right.
hope this helps
A cell phone tower is anchored by two cables on each side for support. The cables stretch from the top of the tower to the ground, with each being equidistant from the base of the tower. The angle of depression from the top of the tower to the point in which the cable reaches the ground is 23 degrees. If the tower is 140 feet tall, find the ground distance between the cables. Round to the nearest tenth.
Answer:
659.6 ft
Step-by-step explanation:
x = 140 / tan 23
x = 329.82(rounded to hundredth)
so total ground distance between the cables = 2x = 2(329.82) = 659.64 feet
Solve the inequality. g + 6 > 5
Answer:
g > -1
Step-by-step explanation:
g + 6 > 5
You want g alone on the3 left side.
6 is being added to g, so subtract 6 from both sides of the inequality.
g + 6 - 6 > 5 - 6
g > -1
Help me please I’ll mark brainliest!!!!
Answer:
1.5
Step-by-step explanation:
=
In the figure below, C is between A and D, and B is the midpoint of AC. If BD=11 and BC=8, find AD.
Answer:
AD = 19
Step-by-step explanation:
Here, we want to find the length of AD
To do this, we will use the illustration drawn below in the attachment
Since B is the midpoint of AC, and BC = 8; then AB will also be 8
Mathematically;
AD = AB + BD
AD = 8 + 11
AD = 19
Can someone please solve this for me
Two parallel lines have same slopes so we need to find the slope of the line which passes through the given points.
Suppose : A = ( - 2 , 7 ) & B = ( 4 , 4 )
Slope = y ( B ) - y ( A ) / x ( B ) - x ( A )
Slope = 4 - 7 / 4 - ( - 2 )
Slope = - 3 / 4 + 2
Slope = - 3 / 6
Slope = - 1 / 2
------------------------------------------------------------
As you know The coefficient of x is the slope of the line in slope-intercept form.
Thus we have to find the option which x has - 1 / 2 as the coefficient .
Look we have that in D so the correct answer is D .
Given f(x) = {(4 - x)?, what is the value of f(16)?
Record your answer and fill in the bubbles on your answer document.
f(16) = -5592404
9514 1404 393
Answer:
48
Step-by-step explanation:
Put 16 where x is and do the arithmetic.
f(16) = 1/3(4 -16)^2 = 1/3(-12)^2 = 1/3(144)
f(16) = 48
1. Mike has 43 books in his library. He bought several books at a yard sale over the weekend. He now has 67 books in his library. How many books did he buy at the yard sale?
2. After paying 9 dollars for the pie, Sam has 87 dollars left. How much money did he have before buying the pie?
3. Last week Jason had 12 dollars. He washed cars over the weekend and now has 93 dollars. How much money did he make washing cars?
4. There are 31 pine trees currently in the park. Park workers will plant more pine trees today. When the workers are finished there will be 68 pine trees in the park. How many pine trees did the workers plant today?
5. Sam's high school played 14 hockey games this year. The team won most of their games. They were defeated during 3 games. How many games did they win?
6. Joan had 22 peaches left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 76 peaches at the stand, how many did she pick?
7. Fred received 60 dollars for his birthday. He went to a sporting goods store and bought a baseball glove, baseball, and bat. He had 22 dollars left over, how much did he spent on the baseball gear?
8. How many ink cartridges can you buy with 204 dollars if one cartridge costs 17 dollars?
9. After eating at the restaurant, Mike, Joan, and Sally decided to divide the bill evenly. If each person paid 23 dollars, what was the total of the bill?
10. There were 11 bales of hay in the barn. Mike stacked more bales in the barn today. There are now 70 bales of hay in the barn. How many bales did he store in the barn?
I need your help.
Answer:
1- 24
2- $96
3- $7.75
4- 37
5- 11
6- 54
7- $38
8- 12
9- $46
10- 59
The graph shows that the distance a dog runs is proportional to the time the dog is running. You want to use only one plotted point to find the unit rate. Which of the three plotted points could you choose? Select all that apply.
hence (1,7.5) or (5,37.5) points
YALL PLEASEE HELP MEE i am very confused and I need to pass this
Answer:
i dont know but its b
Step-by-step explanation:
Solve the following quadratic equation for all values of xx in simplest form.
17-2x^2=-21
Answer:
17-2x^2=-21
Step-by-step explanation:
17-1x=-21
17-21=x
-4=x/x=-4
Q26. Division A has 15 students and division B has 20 students. Average score of students in division A is greater by 2 as compared to the average score of students in division B. The total marks of all the students in divi- sion B is 160 more than total marks of all the students in division A. Find the average marks of students in division A
Step-by-step explanation:
Let a be the total score of Div. A
Let b be the total score of Div. B
given,
[tex] \frac{a}{15} - \frac{b}{20} = 2[/tex]
as equation 1.
and
[tex]b - a = 160 \\ - a + b = 160[/tex]
as equation 2.
Now multiply equation 2 by 1/20 to eliminate b to solve for a.
[tex] ( - a)( \frac{1}{20} ) + (b)( \frac{1}{20} ) = ( \frac{1}{20} )(160) \\ - \frac{a}{20} + \frac{b}{20} = 8[/tex]
take this new equation as equation 3.
now we will use equation 1 + equation 3 to eliminate b to solve for a.
[tex] ( \frac{a}{15} + ( - \frac{a}{20} )) + ( - \frac{b}{20} + \frac{b}{20} ) = 2 + 8 \\ \frac{a}{60} = 10 \\ a = 60 \times 10 \\ = 600[/tex]
Div.A total score = 600
Average Score = Total Score / Number of students.
[tex] \frac{600}{15} \\ = 40[/tex]
The probability that a student guesses the correct answer to a five-choice multiple choice question is P(correct)=0.2. How many correct answers should a student expect to guess on a test with 60 five-choice multiple choice questions?
Answer:
12 correct answers
Step-by-step explanation:
It is given that :
The probability of a student guessing the correct answer for a five choice multiple choice question is [tex]$\text{P(correct)}=0.2$[/tex]
Number of multiple choice questions = 60
So the number of correct answers that a student are expected to guess correctly on the test is :
[tex]$=60 \times 0.2$[/tex]
= 12
Find the value of x if 2x = 20 .
Answer:
x = 10
Step-by-step explanation:
Divide both sides by 2.
(2x) / 2 = 20 / 2
x = 10
Answer:
The answer is going to be 10.
Step-by-step explanation:
1) Diving both sides by 2.
[tex]x = \frac{20}{2} [/tex]
2) Simplify 20/2 to 10 because 20 ÷ 2 is 10.
[tex]x = 10[/tex]
Therefor, the answer for x is x = 10.
what two numbers multiply to 36 and add to -20
Answer:
Those numbers are -18 and -2
Explanation:
(-18)*(-2)=36
-18+(-2)=-18-2=-20
Answer:
x*y=36
x+y=-20
so it would be -18 and -2, :)
Step-by-step explanation:
What is the GCF of:
4n. 16n2, 8n
Answer:
1st expression=4n
2nd expression=16n²=4n×4n
3rd expression=8n=2×4n
so
GCF=4n
The value of a house is 400,000 in 2015 and it doubles every decade. 1.If v is the value of the house,in dollars write an equation for v in terms of d, the number of decades since 2015.
Answer:
[tex]v=400,000 \times (2)^d[/tex]
Step-by-step explanation:
Given that,
The value of a house is 400,000 in 2015 and it doubles every decade.
Let v be the value of the house.
We need to find an equation for v in terms of d (the number of decades since 2015).
It shows that the function is exponential. So,
[tex]v=ab^d[/tex]
Where
a = Initial Value = 400000
b = rate = 2
d = number of decades
v = the current value of the home
So,
[tex]v=400,000 \times (2)^d[/tex]
please help me :(:(:(:(:(
Answer:
$1,568.00
Step-by-step explanation:
I=700 x 0.28 x 8 =1568
The simple interest accumulated on a principle of $700 at a rate of 0.28% per year for 8 years is $1,568.00
The coordinates of three corners of a rectangle are A(2, 3), B(-5,3), and C(-5, -2).
Part A
Plot points A, B, and C. Plot the fourth corner, D, and give its coordinates. What are D's Coordinates?
Answer: I took a screen shot of your answer hope this helps
Step-by-step explanation:
pleas make brainly
Someone plz help me
Answer:
a
Step-by-step explanation:
Find a formula for a_n (for the geometric sequence), then find the 8th term. Solve for both or one of these questions, thank you so much!
Answer:
2a. aₙ = 12 * -2ⁿ⁻¹; a₈ = -1536
2b. aₙ = 4 * 3ⁿ⁻¹; a₈ = 8748
Step-by-step explanation:
The geometric sequence formula is aₙ = a₁ * rⁿ⁻¹.
2a:
a₈ = 12 * -2⁸⁻¹ {Subtract 1 from 8 to get 7}
a₈ = 12 * -2⁷ {2⁷ is 128. Since the exponent is odd, this will be negative.}
a₈ = 12 * (-128) {Multiply 12 by -128 to get -1536.
a₈ = -1536
2b:
a₈ = 4 * 3⁸⁻¹ {Subtract 1 from 8 to get 7)
a₈ = 4 * 3⁷ {7 is the 3rd number after 4 (a multiple of 4). As a result, this will end in a 7. 3⁷ is 2187.}
a₈ = 4 * 2187 {Multiply 4 by 2187 to get 8748}
a₈ = 8748
Geometry problem, please help ASAP
Answer: 255.988°
Step-by-step explanation:
Use SOH-CAH-TOA (O=opposite, A=adjacent(side), H=hypotenuse)
They gave us the quest to find the adjacent side, so we can cross off SOH. The angle of elevation is 38 and the angle is adjacent to the right angle(side) and they gave us the opposite which is 200. Now we can also cross off the CAH because they didnt give us or ask for the hypotenuse. SO now solving time.
tan(38)=[tex]\frac{200}{x}[/tex], since x is on the bottom we switch.
x=[tex]\frac{200}{tan(38)}[/tex]
x=255.988°