If a triangular and rectangular fence is put around the dog pen and fill it with gravel. The cost of fence is $1.50 per foot, and cost of one bad of gravel is $3.50. The total amount spend is $218.5
What is rectangle?"Rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square."
What is triangle?"A triangle is a polygon with three edges and three vertices."
The given figure contains a rectangle and a triangle.
Length of rectangle = 10 ft
Breadth of rectangle = 8 ft
Area of rectangle = length × breadth
Area of rectangle = 10 × 8 = 80 ft.
Base of triangle = 8 ft.
Height of triangle = 3 ft.
Area of triangle = [tex]\frac{1}{2}[/tex]× base × height
Area of triangle = [tex]\frac{1}{2}[/tex]×8×3 = 12 ft.
Total area of fence = Area of rectangle + Area of triangle
Total area of fence = 80 + 12 = 92 ft.
Cost of one foot of fence = $1.50
Cost of 92 foot of fence = $1.50 × 92
Cost of 92 foot of fence = $138
4 square feet is covered by = 1 bag of gravel
1 square feet is covered by = [tex]\frac{1}{4}[/tex] bag of gravel
92 square feet is covered by = [tex]\frac{1}{4}[/tex]×92 = 23 bags of gravel
Cost of 1 bag of gravel = $3.50
Cost of 23 bags of gravel = $3.50 × 23 = $80.5
Total amount spend = $138 + $80.5 = $218.5
Hence, total amount spend is $218.5
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Convert the fraction into a percentage.
3 = %
(Enter number as a whole number without the percentage sign.)
Pls help me
Answer:
75%
Step-by-step explanation:
3 is 75 the way to 4 so it would be 75%
4x^2 - 7x -2 = 0
PLEASE HELP! I WILL MARK AS BRAINLIEST!
Answer:
2,-1/4
you can use the calculator to find the answer .
depending on your calculator you can find it in different ways but the most common one that works on most of tge calculators is pressing mode button the press 5 then 3. then put a as tge coeffcient of x^2 and b as coefficient of x and c as the number without any x
Two sides of a right triangle measure 222 units and 444 units. What is the area of the square that shares a side with the third side of the triangle?
Answer:
the area of the square = x² = 147,852 ft²
Step-by-step explanation:
Given;
two sides of a right triangle, = 222 units and 444 units
let the third side of the right triangle that shares a side with a square = x
the third side is obtained by applying Pythagoras theorem, and assuming the third side to be either adjacent or opposite side.
x² = 444² - 222²
x² = 147,852
x = √147,852
x = 384.52 ft
Therefore, the area of the square = x² = 147,852 ft²
Answer:
20 = x^2
Step-by-step explanation:
to find c^2 you need to do:
a^2 + b^2 = c^2
so- 2x2 + 4x4 = 4+16= 20
20 = x^2 and since x is squared you do not find the square root
find the value of 2\5of rs75
Step-by-step explanation:
Given
[tex] \frac{2}{5} \times rs75 \\ = rs \: 15 \times 2 \\ = rs \: 30[/tex]
Hope it will help :)
Answer:
2÷5×75=30
Step-by-step explanation:
Write a related function for - 6x + 8x - 5 = 3.
pls just explain and show your work if you can and ill give brainlest and 5 star
Answer:
x=4
Step-by-step explanation:
-6x+8x=2x
5+3=8 (when you move a number to the other side of an equals sign, it changes its value)
2x=8
2x/2 and 8/2
x=4
Answer:
X=4
Step-by-step explanation:
Use the figure and information below to find the length of each line segment
7th grade math please help me
Answer:
7. 6
8. 6
9. 12
10. 6
11. 12
12. 24
Step-by-step explanation:
The length of each segment is AB = 6, BC = 6, AC = 12, CD = 6, CE = 12, AE = 24
What is the length?It is the measure of distance between the two points is called a length.
D is the mid-point of CE. Then
CD = DE = 6
B is the mid-point of AC. Then
AB = BC
C is the mid-point of AE. Then
AC = CE
AB + BC = CD + DE
AB + AB = CD + CD
2 AB = 2 CD
AB = CD
AB = 6
Then
AB = 6
BC = AB = 6
AC = AB + BC = 6 + 6 = 12
CD = DE = 6
CE = CD + DE = 6 + 6 = 12
AE = AB + BC + CD + DE = 6 + 6 + 6 + 6 = 24
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20 POINTSS PLEASE HELP
Answer:
14 units
Step-by-step explanation:
Help? cant seem to figure this out. Appreciate it!
Answer:
327 cm²
Step-by-step explanation:
The opposite faces of a cuboid are congruent , front and back, top and bottom, the two side faces, then
SA = 2(9.5 × 8) + 2(5 × 8) + 2(9.5 × 5)
= (2 ×76) + (2 × 40) + (2 × 47.5)
= 152 + 80 + 95
= 327 cm²
Answer:
Step-by-step explanation:
SA = 2B + LA B = area of base LA = lateral area
B = area of the rectangle with length of 9.5 and width of 5
= 9.5(5) = 47.5
LA = perimeter of base times the height
= [2(9.5) + 2(5)] (8)
= (19 + 10)(8)
= 29(8)
= 232
SA = SA = 2B + LA = 2(47.5) + 232
= 95 + 232
= 327 sq cm
help plz!!!!!!!!!!!!!!!!!!!!!
The angle which is less than 90 degrees is called?
A. Acute angle
B. Obtuse angle
C. Right angle
D. Straight angle
Answer:
An acute angle is an angle less than 90°
Answer:
A. Acute angle
Step-by-step explanation:
The angle which is less than 90 degrees is known as the acute angle.
Martha ran 310 meters during P. E. class today. How many centimeters did Martha run?
Answer:
31000
Step-by-step explanation:
hope this helps :)
Answer:
31000
Step-by-step explanation:
Find the area of the trapezoid.
Answer:
A 303.66
Step-by-step explanation:
b1+b2÷2×h is the formula.
So step by step.
29.2+19=48.2
48.2÷2=24.1
24.1×12.6=303.66
The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.
It is required to find the area of a trapezoid.
What is a trapezoid?It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.
We know the formula for the area of a trapezoid:
[tex]\rm Area = \frac{a+b}{2} \times h[/tex] Where 'a' is the long base, 'b' is the short base and 'h' is the height.
We have a = 29.2 in
b = 19 in
h = 12.6
By putting these values in the formula, we get:
[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]
Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.
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Write 16 exponentially two different ways
Answer:
2^4 or 4^2
Step-by-step explanation:
2^4= 2x2x2x2=16
4^2= 4x4=16
1 MATH PROBLEM POINTS + BRAINIEST
Identify the inverse operation:r/4
Answer:
The inverse of this expression is the multiplication of 4. Answer: 4r, or 4 times r
Step-by-step explanation:
So first off, multiplication is the inverse of division, therefore, dividing r by 4 is the inverse of multiplying r by 4, so the answer is 4r.
Find the VOLUME of the rectangular prism below.
Volume =
cubic cm
21 cm
12 cm
38 cm
Find the area of the shaded region.
Answer:
B. x^2-10
Step-by-step explanation:
Your are trying to find the shaded region
You can see that the x by x square would be "full" if not for the 2 by 5 chunk that has been taken out of it
Therefore you can find the area by subtracting the 2 by 10 "chunk" out of the total area of the x by x square
Equation:
(x*x)-(2*5)
x^2-10
The answer is B
Dishwasher detergent is sold in individual packets. The 20 packet box sells for $5.49. The 60 packet box sells for $10.97. The 90 packet box sells for $18.95. Which is the best buy?
Answer:
60 packets
Step-by-step explanation:
Given that :
Unit cost of 20 packets
$5.49 / 20 =$0.2745
Unit cost of 60 packets :
$10.97 / 60 = $0.1828333
Unit cost of 90 packets :
$18.95 / 90 = $0.2105555
The 60 packets has the least cost per unit, hence it is the best buy.
Your local radio station is having their yearly CD and concert ticket giveaway. For one minute every 4th caller will win a CD and every 7th caller will win a concert ticket. You were the second caller to win both a CD and a concert ticket. What number caller were you?
Answer:
i was number #173
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
You have to find the lcm, and that is 56! Hope that helps.
Saraid is dividing 14 pound of cashews into 5 plastic bags. What fraction of a pound of cashews will be in each plastic bag?
Answer:
Each bag gets 2 4/5 pounds of cashews
Step-by-step explanation:
14 ÷ 5 = 2.8
2.8 ( 2 4/5)
Quadrilateral BCDE is similar to quadrilateral FGHI. Find the measure of side FG. Round your answer to the nearest tenth.
Answer:
The answer is below
Step-by-step explanation:
Two polygons are said to be similar to each other if they have the same shape as well as the ratio of their corresponding sides being equal to each other.
Since quadrilateral BCDE is similar to quadrilateral FGHI, hence the ratio of their corresponding sides is equal. Hence:
[tex]\frac{FG}{BC}= \frac{HI}{DE} \\\\substituting:\\\\\frac{FG}{8.3} =\frac{50}{11} \\\\FG=\frac{50*8.3}{11}\\\\FG=37.7\ to \ the\ nearest\ tenth[/tex]
The radius of the base of a metallic rod is 2 centimeters, and its height is 15 centimeters. What is the volume of this cylinder?
A.60 π cm^3
B.50 π cm^3
C.27 π cm3
D.36π cm^3
Julio had 20 minutes to do a three-problem quiz. He spent 11 1 4 minutes on question A and 5 4 5 minutes on question B. How much time did he have left for question C?
Answer:
2 19/20 minutes
Step-by-step explanation:
Julio had 20 minutes to do a three-problem quiz. He spent 11 1 /4 minutes on question A and 5 4 /5 minutes on question B. How much time did he have left for question C?
The total number of minutes =
Number of minutes spent doing question (A + B + C)
Hence,
Hence, the number of minutes he had left for Question C is calculated as:
20 minutes - ( 11 1/4 + 5 4/5) minutes
20 minutes - ( 11 + 5 ( 1/4 + 4/5))
Lowest common denominator = 20
20 minutes - ( 16 + ( 5 + 16/20)
20 minutes - ( 16 + 21/20) minutes
20 minutes - (16 + 1 1/20) minutes
20 minutes - 17 1/20 minutes
= 2 19/20 minutes
Therefore he had 2 19/20 minutes left for Question C
PLEASE HELP ME, IM STRESSED OUT:(
Answer:D
Step-by-step explanation:
radical form. ooooooooooo
Answer:
by using Pythagoras law
h²=p²+b²
7²=4²+b²
b²=49-16
b=√33=5.744
third side is 5.744
Answer:
missing length = 5.74
Step-by-step explanation:
[tex]a^{2} = c^{2} - b^{2}[/tex]
[tex]a^{2} = 7^{2} - 4^{2}[/tex]
[tex]a^{2} = 49 - 16[/tex]
[tex]a^{2} = 33[/tex]
[tex]\sqrt{a^{2} } = \sqrt{33}[/tex]
[tex]a = 5.74[/tex]
The diagram shows quadrilateral MNPQ.
Quadrilateral M N P Q is shown. Sides N P and M Q are parallel. Angles P and Q are right angles. The length of M N is 10, the length of N P is 3, and the length of P Q is 6.
What is the length of line segment MQ?
8 units
10 units
11 units
15 units
Answer:
The answer is 11 units
Step-by-step explanation:
I just took the test, plus if you were to lay the side MN down to next to MQ, it would be similar but, a little be shorter. Also if you were to think of it, 8 units would be too short and 15 units would be too long, 10 units would of made MQ look the same length as MN, but MQ was longer just by a bit. Thus, makes 11 units the answer.
Hopes this helps!
For the given quadrilateral MNPQ, the length of MQ is 11 units.
Therefore, the option C is the correct answer.
Given that a quadrilateral MNPQ, with sides NP and MQ are parallel, ∠P = ∠Q = 90°, MN = 10, NP = 3 and PQ = 6.
We need to find the length of side MQ,
MQ = MR + RQ............(i) [segment addition property]
To find MR and RQ, we will have to do a construction in the figure given,
(Refer to the diagram attached)
Join the segment NR, that will be equal and parallel to PQ and perpendicular to MQ.
So, we get NPQR as a rectangle, according to the property of a rectangle its opposite sides are equal,
So, we get,
QR = 3 and NR = 6.
Also, we have a right triangle MNR, where MN is the hypotenuse,
Using the Pythagoras theorem, we can find the length of MR,
MR² = MN² - NR²
MR = √(10² - 6²)
MR = √(100 - 36)
MR = √64
MR = 8
Putting the values of MR and QR in equation (i), we get,
MQ = MR + RQ
MQ = 8 + 3
MQ = 11
Hence the length of MQ is 11 units.
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PLSS HELP ME ASAP!! WILL GIVE YOU BRAINLYEST!!!
Zhane spins a spinner 50 times and records the results of
each spin in a table. Based on the data, which of the
following could describe the spinner Zhane used?
A. The blue section is twice as large as the red section
B. The red section is smaller than the blue and green
sections combined
C. The green section is larger than the yellow section
D. The red and blue sections combined are larger than the
green and yellow sections combined.
Answer:
The answer is probably D since red and blue combined is 30 which is greater than green and yellow combined which is 20
Answer:
D
Step-by-step explanation:
find the value of given expression
[tex] \sqrt[3]{9 - 1} [/tex]
Answer:
2
Step-by-step explanation:
[tex] \sqrt[3]{9 - 1} \sqrt[3]{8} \\ = 2[/tex]
10) 3x + x + x + x - 3 - 2 = 7 + x + x
In the equation above, what is the value of x?
Answer:
Step-by-step explanation:
x=3
help please ill give brainliest