Answers
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Work Shown:
Break the figure up as shown by the dashed lines. Think of cutting along those lines to form 3 separate figures. The trapezoid on the left has area
A = h*(b1+b2)/2
A = 5*(11+12)/2
A = 57.5
The rectangle in the middle has area
A = L*W
A = 12*15
A = 180
The trapezoid on the right has area
A = h*(b1+b2)/2
A = 10*(12+9)/2
A = 105
Overall, the entire figure has area of 57.5+180+105 = 342.5 square meters
1 can costs £6 and it covers 15 square meters. We need to cover 342.5 square meters
342.5/15 = 22.8333333333333 approximately
Round up to the nearest whole number to get 23
We need 23 cans to be able to paint 342.5 square meters or more
Note that 22 cans won't be enough because 22*15 = 330 is short of 342.5
While 23 cans is more than enough since 23*15 = 345. It's better to have leftovers than come up short.
Since each can costs £6 and we need 23 of them, the total cost would then come to 6*23 = 138 pounds
Answer:
The figure consists of two trapeziums and a rectangle
Area of figure = Area of rectangle + Area of the two trapeziums
Area of rectangle = length × width
= 12m × 15m = 180m²
Area of first trapezium = 1/2(a+b) × height
= 1/2(12+11)×5
= 57.5m²
Area of second trapezium = 1/2(a+b) × height
= 1/2(9+12)×10
= 105m²
Area of figure = 180 + 57.5 + 105 = 342.5m²
If 15m² = 6£
342.5 = 342.5/15 ×6
= £ 137
Hope this helps.
Related Questions
5.
The total length of 2 pieces of rope is
108cm. If one piece is 18cm shorter, what is
the length of the longer piece?
Answers
Answer:
63 cm
Step-by-step explanation:
piece 1: x
piece 2: x - 18
First you would subtract 2x - 18 = 108
Second you would add 108 + 18 = 2x
Third you would divide 126 divided by 2x = 63
So that would mean x = 63
Answer:
63cm
Step-by-step explanation:
2 pieces of rope, and one is shorter by 18cm.
piece 1: x
piece 2: x-18
Add the equations together, combine both pieces
2x-18
2x-18 = 108
108+18 = 2x
126 = 2x
x = 63
If you can, please help answer this algebra question.
Answers
Answer:
R: {-7,-2,3,8}
Step-by-step explanation:
The range is the output values of the function
The values or 8,3,-2,-7
We put them in order from smallest to largest
R: {-7,-2,3,8}
Answer:
2nd option would be the answer
B
{y:y=-7,-2,3,8}
Step-by-step explanation:
Mr Frank purchased 5_1/4 pounds of rocks. He used 3/5 of a pound on one aquarium. He then split the rest of the rocks between his three remaining aquariums. How many rocks will be in one aquarium?
Answers
Answer:
1_11/20 pounds, or 1.55 pounds.
Step-by-step explanation:
Since at the beginning, he had 5 1/4 pounds and used 3/5, we subtract the amount of pounds. We are then left with 93/20 pounds, which he then splits among 3 containers. Dividing by three, we then get 31/20 pounds in one aquarium, or 1 11/20 pounds in each aquarium or 1.55 pounds.
2)If triangle RPQ is a right angled triangle at Q. If PQ = 5cm and RQ = 10 cm,find (i) sin ^2 P (ii) cos ^2 R and tan R (iii) sin P X cos P (iV) sin ^2 P –cos ^2p
Answers
Answer: (i) 1 (ii) 3/4 , √3/3 (iii) 0 (iv) 1
Step-by-step explanation:
ΔRPQ is 1 30°-60°-90° triangle because RQ = 2PQ , where
∠R = 30°∠P = 90°∠Q = 60°(i) sin² (90°) = 1² = 1
[tex]\text{(ii)}\ \cos ^2(30^o)= \bigg(\dfrac{\sqrt3}{2}\bigg)^2=\dfrac{3}{4}[/tex]
[tex].\quad \tan (30^o)=\dfrac{1}{\sqrt3}\bigg=\dfrac{\sqrt3}{3}[/tex]
(iii) sin (90°) × cos (90°) = 1 × 0 = 0
(iv) sin² (90°) - cos² (90°) = 1² - 0² = 1
Which value of n makes the equation true? -1/2n = -8
A.) -16
B.) -4
C.) 4
D.) 16
Answers
Answer:
D
Step-by-step explanation:
When we divide the entire equation by -1/2 to get rid of the coefficient of n we get n = 16.
Answer:
D.) 16
Step-by-step explanation:
Solve for n:
-n/2 = -8
Multiply both sides of -n/2 = -8 by -2:
(-2 (-n))/2 = -2 (-8)
-2×(-1)/2 = (-2 (-1))/2:
(-2 (-1))/2 n = -2 (-8)
(-2)/2 = (2 (-1))/2 = -1:
--1 n = -2 (-8)
(-1)^2 = 1:
n = -2 (-8)
-2 (-8) = 16:
Answer: n = 16
If the perimeter of isosceles trapezoid ABCD is p, and , what is the value of y in terms of p ?
A. 5p/6
B. 7p/6
C. 3p/14
D. 3p/7
E. 10p/7
Answers
Answer:
Where is the picture?
Step-by-step explanation:
A bag contains green yellow and orange marbles the ratio of green marble to yellow marble is 2 : 5 the ratio of yellow arbles to orange marbles is 3 : 4 what is the ratio of green marbles two orange marbles
Answers
Answer:
G:O = 3:10
the ratio of green marbles to orange marbles is 3:10
Step-by-step explanation:
Let G, Y and O represent green, yellow and orange marbles respectively.
Given;
the ratio of green marble to yellow marble is 2 : 5
G:Y = 2:5
G/Y = 2/5
the ratio of yellow arbles to orange marbles is 3 : 4
Y:O = 3:4
Y/O = 3/4
the ratio of green marbles to orange marbles G:O;
G/O = G/Y × Y/O
Substituting the values;
G/O = 2/5 × 3/4
G/O = 3/10
G:O = 3:10
the ratio of green marbles to orange marbles is 3:10
At a petrol station , a driver 83.5 liters of fuel at 18.63 birr per liter. What was the bill?
Answers
Answer:
1555.61 birrs
Step-by-step explanation:
Perform this operation:
83.5 liters 18.63 birr
---------------- * ----------------- = 1555.61 birrs This was the total amount
1 1 liter of the bill.
Answer:
1,555.605
Step-by-step explanation:
per liter is 18.63 and the driver got 83.5 liters
the bill is 18.63 × 83.5 = 1,555.605 if you are asked to approximate
it will give you 1,556
A swimming pool is open for 7\dfrac127 2 1 7, start fraction, 1, divided by, 2, end fraction hours during a day. The pool keeps one lifeguard on duty at a time, and each lifeguard's shift is 1\dfrac121 2 1 1, start fraction, 1, divided by, 2, end fraction hours long. How many shifts are there per day?
Answers
Answer:
5 shifts
Step-by-step explanation:
The pool is open for 7 1/2 hours (15/2 hours) per day.
Each lifeguard shift lasts for 1 1/2 hours (3/2 hours).
To get the number of shifts per day, we divide the total hours that the pool is open by the time of each lifeguard shift:
[tex]\frac{15}{2} / \frac{3}{2} \\\\= \frac{15}{2} / \frac{2}{3} \\\\ = 5[/tex]
There are 5 lifeguard shifts per day.
Answer:
5
Step-by-step explanation:
I will give you brainliest!!! Which equation describes the same line as y+5=3(x-6)?
Answers
Answer:
Step-by-step explanation:
y + 5 = 3x - 18
y = 3x - 23
The solution is A
Answer:
A. y=3x-23
Step-by-step explanation:
We want to get the equation in slope intercept form, or y=mx +b, where m is the slope and b is the y intercept. Basically, we need to get y isolated.
y+5=3(x-6)
First, let’s distribute the 3 on the right side. Multiply each term inside the parentheses by the number outside the parentheses (3).
y+5=3*x + 3*-6
y+5=3x-18
5 is being added onto y. We need to perform the inverse operation to get y by itself. The opposite of addition is subtraction. Subtract 5 from both sides
y+5-5=3x-18-5
y= 3x-18-5
y=3x-23
Therefore, the correct answer is A. y=3x-23
8−4(−x+5) A: 4x-12 B: -4x- 12 C: 4x + 13 D: 4x + 5
Answers
Step-by-step explanation:
8-4(-x + 5)
8 + 4x - 20
4x - 12
What is the decimal multiplier to decrease by 1.7%?
Answers
Answer:
0.983
Step-by-step explanation:
100(0.983)=98.3
Answer:
[tex]0.983[/tex]
Step-by-step explanation:
[tex]\frac{100-17/10}{100}[/tex]
[tex]\frac{100-1.7}{100}[/tex]
[tex]=0.983[/tex]
-5(x - 1) = 2x - 7x + 5
Answers
Answer:
This is true! 1x=1
Step-by-step explanation:
So let's rewrite the question again.
-5(x - 1) = 2x - 7x + 5
So we will solve from left to right.
-5(x-1) <- In here, we cannot add a variable to a whole number. So, we simply multiply -5 by x and -1.
-5(x - 1) = -5x+5
2x - 7x + 5 <- Here, we can subtract 2x-7x. They are both variables. But, we cannot add 5 to a variable.
2x - 7x + 5 = -5x+5
Now, here is the equation that we have so far.
-5x+5 = -5x+5
+5x +5x
----------------------
5=5
-5 -5
0=0
So in here, we can have anything. 1, 2, 3, 4, 5, 6, 100, anything. So, the answer is:
All Real Numbers
Please answer within 5 minutes for brainliest!!!!
Answers
Answer:
y=4x-9
Step-by-step explanation:
ASAP HELP Which equation is equivalent to: 3r=90−5 ?
A. 3r+5=90
B. −3r=−90−5
C. −3r=90+5
D. 3r=90+5
Answers
Answer:
The answer is A.
This is because adding 5 to both sides of the original equation gives us A.
An equivalent equation to 3r = 90 - 5 is 3r + 5 = 90
The correct answer is an option (A)
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
What is equivalent equations?"The equations that have the same answer or solution."
For given question,
We have been given an equation 3r = 90 - 5
We know that the addition property of equality which states that when the same quantity is added to both sides of an equation, the equation does not change.
⇒ 3r = 90 - 5
Add 5 on the both the sides of the equations.
⇒ 3r + 5 = 90 - 5 + 5
⇒ 3r + 5 = 90 + 0
⇒ 3r + 5 = 90
Therefore, an equivalent equation to 3r = 90 - 5 is 3r + 5 = 90
The correct answer is an option (A)
Learn more about equation here:
https://brainly.com/question/13170101
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The equation y= ax? describes a parabola. If the value of a is positive, which
way does the parabola open?
Answers
Answer:
upwards or to the right
Step-by-step explanation:
If the a value is positive, then the parabola opens upward or to the right, and if the a value's negative, it opens down or to the left. Hope this helps!
Calculate the length of CD if the area of △BCD is 150 cm ²
Answers
Answer:
CD = 20 cm
Step-by-step explanation:
Area of Δ = 1/2(Base)(Height)
Where Height = 15, Area = 150
So,
150 = 1/2(CD)(15)
CD = [tex]\frac{150*2}{15}[/tex]
CD = 10*2
CD = 20 cm
mZ3 = 64
m_4 = 106°
and
4
2
3
1
What is
mZ1,
Answers
Answer: m∠1=42°
Step-by-step explanation
For this problem, we can separate the triangle into 2 separate triangles to solve for m∠1.
We know that m∠4 is 106°. ∠2 and ∠4 are supplementary angles. You can see that they make a straight line of 180°. We can use this fo find ∠2.
∠2+∠4=180
∠2+106=180
∠2=74°
Now that we know ∠2 is 74°, we can use that to solve for m∠1.
We know that the measures of the angles in a triangle equal to 180°. For the triangle at the bottom, we see ∠3, ∠2, ∠1. Since we know ∠3 and ∠2, we can find ∠1.
∠3+∠2+∠1=180
64+74+∠1=180
138+∠1=180
∠1=42°
find the surface area of sphere please help me i’ll give u brainlest
Answers
Answer:
[tex]Surface Area = 84.9 cm^2[/tex]
Step-by-step explanation:
Surface Area = [tex]4\pi r^2[/tex]
Putting r = 2.6 cm
SA = 4(3.14)(2.6)²
SA = 4(3.14)(5.76)
SA = 84.9 cm²
Answer:
[tex]2.6^{2} \times \pi \times 4 = 84.9[/tex]
Answer this please thanks
Answers
Answer:
m∠BOC = 60°
Step-by-step explanation:
Step 1: Find x
7x + 30 + 9x + 42 = 104
16x + 72 = 104
16x = 32
x = 2
Step 2: Plug x into ∠BOC equation to find m∠BOC°
9(2) + 42
18 + 42 = 60
What is the product?
1
12
64
2
78
30
6
32
78 30
6
64
78 30
6
32
39
15
6
64
39 30
Answers
Answer:
9.3526131e+34
Step-by-step explanation:
112*642=71904*4948560=355821258240*7830*664=1.8499574e+18*7830*632=9.1546252e+24*3915*664=6.7577122e+12*3930=2.6557809e+16=9.3526131e+34
Answer:
Answer:
9.3526131e+34
Step-by-step explanation:
112*642=71904*4948560=355821258240*7830*664=1.8499574e+18*7830*632=9.1546252e+24*3915*664=6.7577122e+12*3930=2.6557809e+16=9.3526131e+34
if (5,k) is a solution of 2x+y-6=0,then find the value of k.
Answers
[tex]answer \\ k = - 4 \\ solution \\ 2x + y - 6 = 0 \\ (5 \: k) \: is \: a \: solution \: so \\ x = 5 \: and \: y = r \\now \\ 2x + y - 6 = 0 \\ or \: 2 \times 5 + r - 6 = 0 \\ or \: 10 + r - 6 = 0 \\ or \: 10 - 6 + r = 0 \\ or \: 4 + r = 0 \\ or \: r = 0 - 4 \\ r = - 4 \\ hope \: it \: helps[/tex]
PLEEEEEEEEEEEASE HELP
The function f(n) represents an arithmetic sequence where the first term is 5 and each term increases by 5. What is f(8)?
Answers
Step-by-step explanation:
5f
5 + n times of a number
Which of the binomials below is a factor of this trinomial?
X2-16x + 28
O A. x+7
O B. x2 + 7
O c. x+4
O D. X-14
Answers
Answer:
x-14
Step-by-step explanation:
The binomial which is a factor of this trinomial is (x- 14).
What is Trinomial?An algebraic expression with three terms is called a trinomial.
Examples of a trinomial expression: x + y + z is a trinomial in three variables x, y and z.
Given:
p(x) = x²-16x + 28
If x+ a is factor of any polynomial p(x) then x= -a satisfy the polynomial.
factorizing p(x)
x²-16x + 28
= x²-14x + 2x + 28
= x( x- 14) + 2 (x+ 14)
= (x- 14)(x+ 2)
Hence, the binomial is (x- 14).
Learn more about Trinomial here:
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If Jake does a job in 15 hours less time than Brianna, and they can do the job together in 10 hours, how long will it take each to do the job alone? It will take Jake ______ hours It will take Brianna _______ hours
Answers
Answer:
It will take Jake 0 hours and It will take Brianna 15 hours
Step-by-step explanation:
Let x be the no. of hours taken by Brianna to complete work alone
We are given that Jake does a job in 15 hours less time than Brianna
So,Jake work alone in hours =x-15
We are given that they can do the job together in 10 hours
So, [tex]\frac{1}{x-15}+\frac{1}{x}=\frac{1}{10}\\\frac{x+x-15}{(x-15)x}=\frac{1}{10}\\x=3,15[/tex]
So, Brianna complete work in 15 hours
So, Jake work alone in hours =x-15=15-15=0
So, It will take Jake 0 hours and It will take Brianna 15 hours
What is the distance on a Cartesian coordinate plane from (1, -1) to (7, 7)?
Answers
Answer:
10
Step-by-step explanation:
Use the distacne forumla to find the differnece between the two points.
*WILL MARK BRAINLIEST* What solutions to the system of equations graphed below?
Answers
Answer:
(-2, 0) and (0, 4)
Step-by-step explanation:
The solutions are the intersection points. The graphs intersect at points (-2, 0) and (0, 4)
a hunter observes that the interval between a lightning flash and thunder clap that followed is 15 beat of his pulse. If his pulse rate is 75 per minute and sound in air is 330m/s, how far is the thunderstorm
Answers
Answer:
3600 m or 3.6 km
Step-by-step explanation:
The first thing is to take into account that the pulse rate is equal to 75 per minute, or what is the same as 75 beats per 60 seconds, then we must know how many seconds would be 15 beats:
15 beats * 60 seconds / 75 beats = 12 seconds
Therefore, we know that the velocity is equal to:
v = d / t
We know the time and the speed, therefore:
d = v * t
replacing
d = 300 * 12
d = 3600
is located at 3600 meters or 3.6 km
What is the quotient of the division?
742 ÷ 7 = ?
16
61
106
116
Answers
Answer:
c, 106
Step-by-step explanation:
Answer:
106
Step-by-step explanation:
pls mark as brainliest
What is the solution to the system of equations?
Answers
Answer:
(7, 13/3)
Step-by-step explanation:
[tex]y=\frac{1}{3} x+2\\[/tex] Line up the equations on top of each other
[tex]y=\frac{4}{3} x-5[/tex]
[tex]-4*[y=\frac{1}{3} x+2][/tex] Multiply the top equation by [tex]-4[/tex] in order to cancel out the [tex]x[/tex] variable
[tex]-4y=-\frac{4}{3} x-8[/tex] Switch out the first equation for this one
[tex]-4y=-\frac{4}{3} x-8[/tex] Line up the equations
[tex]y=\frac{4}{3} x-5[/tex]
[tex]-3y=-13[/tex] Add the two equations top to bottom, left to right
[tex]y=\frac{13}{3}[/tex]
Now that you've found [tex]y[/tex], you need to find [tex]x[/tex]. Just plug in the y-value to either of the equations in Step 1:
The first equation has smaller numbers, so let's use that one.
[tex]\frac{13}{3} =\frac{1}{3} x+2[/tex]
To make it easier you can multiply all the terms in the equation by 3:
[tex]13=x+6[/tex]
[tex]7=x[/tex]
The [tex]x[/tex]- and [tex]y[/tex]- values together give a solution of ( [tex]7[/tex], [tex]\frac{13}{3}[/tex] )