Answer:
132 sq cm
Step-by-step explanation:
There is a rectangle on top of your shape and a trapezoid below.
Area of a rectangle:
A = length•width
A = 7•4
A = 28sq cm
Area of a trapezoid:
A= 1/2(b_1 + b_2)•h
A=1/2(19 + 7)•8
=1/2(26)•8
=13•8
=104 sq cm
Area of total:
A_rect + A_trapzd
=28 + 104
= 132 sq cm
A camel can drink 15 gallons of water in 10 minutes. At this rate, how much water can the camel drink in 6 minutes?
Answer:
9 gallons of waterStep-by-step explanation:
Given,
A camel drinks water in 10 minutes = 15 gallons
So,
Water drank by the camel in 1 minute = [tex]\frac{15}{10} gallon[/tex]
So, Water drank by the camel in 6 minutes
= ( [tex]\frac{15}{10}[/tex] × 6) gallons
[On Simplifying]= 1.5 × 6 gallons
[On multiplying]= 9 gallons
Hence,
Amount of water drank by the camel in 6 minutes is 9 gallons of water. (Ans)
please answer, i don't know how to solve them. please and thank you
Answer:
C or 260.48
Step-by-step explanation:
Find area of both triangles:
20*16/2/2*2=160
Find area of circle;
pi*r*r/2= area of circle
d/2=r
16/2=8
pi*8*8/2 is about 100.53
160+100.53=260.53
Solve 4/5 + 3/15 - 2/3
Answer:
1/3
Step-by-step explanation:
What is the solution for the equation
Answer:
b = 0b = 4Step-by-step explanation:
[tex] \frac{5}{ {3b}^{3} - {2b}^{2} - 5 } = \frac{2}{ {b}^{3} - 2 } \\ 5( {b}^{3} - 2) = 2( {3b}^{3} - {2b}^{2} - 5) \\ {5b}^{3} - 10 = {6b}^{3} - {4b}^{2} - 10 \\ 10 - 10 = {6b}^{3} - {5b}^{3} - {4b}^{2} \\ 0 = {b}^{3} - {4b}^{2} \\ 0 = {b}^{2} (b - 4) \\ [/tex]
b = 0 or b - 4 = 0
b = 0
b = 4
16. 75 feet per second to feet per minute
Answer:
75 feet per second to feet per minute is 4500
Step-by-step explanation:
Solve the following equation
Answer:
n = -13
Step-by-step explanation:
38 = -2n + 12
Subtracting 12 from both sides:
==> 38 - 12 = -2n + 12 - 12
==> 26 = -2n
multiplying both sides by (-1):
==> -26 = 2n
dividing both sides by 2:
==> -13 = n
Answer:
Step-by-step explanation:
38 = -2n + 12
26 = -2n
n = 26 : (-2)
n = -13
-----------------
check
38 = -2 * (-13) + 12
38 = 26 + 12
38 = 38
the answer is good
chanda wants to put 150 square metres of garden at her backyard. This is the maximum area of garden she can have. She wants to have a rectangular area of garden with length one metre less than 3 times with the width. Find the length and width to the nearest tenth of a metre
Answer:
length: 20.7 mwidth: 7.2 mStep-by-step explanation:
Let x represent the width of the garden. Then its length is 3x-1 and its area is ...
A = LW . . . . . . . . . . . . area of a rectangle is length times width
A = (3x -1)(x) = 150
3x^2 -x = 150
x^2 -1/3x +1/36 = 50 +1/36 . . . . divide by 3 and complete the square
x -1/6 = √(50+1/36) . . . . . . . . . take the square root
x = (1 +√1801)/6 ≈ 7.2397 . . . width of Chanda's garden
The length will be ...
3x -1 = 3(1 +√1801)/6 -1 = (1 +√1801)/2 -1 = (-1 +√1801)/2 ≈ 20.7191
To the nearest tenth meter, the garden is 20.7 m long and 7.2 m wide.
Simplify 6 to the fifth power over 7 cubed all raised to the second power.
Answer:
513.954016
Step-by-step explanation:
If what you mean was (6^5/7^3)^2 than:
(6^5/7^3)^2 is equal around 513.954016
A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job?
pls give explanation and working out.
thnx :)
Mandy and Joshua work together on Market Day at their school. They split the profit according to the ratio 2 : 3 respectively. They make a profit of R825.Calculate the amount Mandy will receive.
Answer:
R330
Step-by-step explanation:
2 + 3 = 5
5x = 825
2x = 825 x 2/5
825 x 2 = 1650
1650/5 = 330
Mandy makes R330.
Mandy's share from the profit is R495
Data;
Profit = R825ratio = 2:3RatiosThis is the portion shared between two or more entities in a definite proportion.
To find Mandy's share, let's add 2 and 3 and then take the fraction of 3/5 and multiply it by the profit made.
[tex]2 + 3 = 5\\\frac{3}{5} * 825 = 495[/tex]
Mandy's share from the profit is R495
Learn more on ratio here;
https://brainly.com/question/2914376
Donna went for a drive in her new car. She drove at a speed of 53 miles per hour for 169.6 miles . For how many hours did she drive?
[tex]\tt v=\dfrac{d}{t}[/tex]
[tex]\tt t=\dfrac{d}{v}=\dfrac{169.6}{53}=3.2~h[/tex]
-2 2/5 multiplied by 4 3/8
Answer:
-10 1/2
Step-by-step explanation:
-2 2/5 times 4 3/8
Turn fractions into mixed numbers: -12/5 and 35/8
Cross multiply: -12/5 times 35/8= 21/2
Turn fraction back into proper fraction: -10 1/2
If y varies directly as x and z, y=108 when x=8 and z=3 find y when x =2 and z=1
PLEASE HELP THIS IS FOR MY MATH PROJECT
A family with 3 adults and 3 children purchase 6 lines each for $35 at ATT. Another family with 2 adults and 4 children purchase 6 lines each for $25 at A-Mobile. How much will the adults’ lines cost at both companies?
we had to come up with our own systems and this is the word problem i chose. does it work?
Answer:
Multiplying the lines and the cost.
Step-by-step explanation:
35$ times 6 is 210. 25$ times 6 is 150. This is the cost of both companies.
5-2y+7y1-2-1
Need major help got school tmr need help
I got 5y-2 and they said it was wrong he’ll
Answer:
5y + 2
Step-by-step explanation:
5 - 2y + 7y - 2 - 1
5 - 2 - 1 - 2y + 7y
2 + 5y
Hope it helps ⚜
HELP! How do I complete this table?
Answer:
6 1/2
Step-by-step explanation:
i don't know the rest but I know that that one might be 6 1/2
express 56;84;104 each as a product of their prime factors
Answer:
2x2x2x7 is 56, 2^2x3x7 is 84, and 2x2x2x13 is 104.
Step-by-step explanation:
If r = 5 units and h = 13 units, what is the volume of the cylinder shown above, using the formula V = r^2h and 3.14 for
1,020.5 cubic units
Step-by-step explanation:
hope it helps,plss correct me if im wrong
Type one thoughtful paragraph to the following prompt
Answer:
The exponent is different from each other. One exponent is 3/4 and the other is 2/4. These make the value different.
Step-by-step explanation:
please solve
-10 + (-2)
step by step please!
Answer:
-12
Step-by-step explanation:
-10 + (-2)
-10 - 2
Answer: -12
Answer:
-12is the answer,hope it will help you.
[tex]=-10+(-2)\\=-10-2\\=-12[/tex]
19. MP Find the Error A student simplified the
expression (6x - 2) - (-x + 5) to 7x + 3.
Find the student's error and correct it.
Copyright © McGraw-Hill Education
The expression, (6x - 2) - (-x + 5), is simplified as 7x - 7. The student's error was wrong calculation in the final steps where he subtracted 2 from 5.
What is a Simplified Expression?A simplified expression is an expression that is evaluated to its simplest form, that is, it cannot be simplified further.
Given:
(6x - 2) - (-x + 5)
Open the bracket by multiplying each of the terms in (-x + 5) by the negative sign (-):
6x - 2 + x - 5
Combine like terms
7x - 7
Thus, the expression, (6x - 2) - (-x + 5), is simplified as 7x - 7. The student's error was wrong calculation in the final steps where he subtracted 2 from 5.
Learn more about simplified expressions on:
https://brainly.com/question/25802006
rachel has a toy shaped like a triangular pyramid in which the base and the lateral faces are congruent equilateral triangles.
Answer:
21 in. squared
Step-by-step explanation:
Evaluate the expression. 12 (6) + 1/4 2² = what?
HELP ME PLEASE
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8400ft, the liquid boils at 202.92°F. At an altitude of 4400ft, the liquid
boils at 207.72°F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the
liquid at 2200 ft?
Answer:(a) getting the equation:
We'll assume that the altitude is represented by the x-axis and that the boiling point is represented by the y-axis.
Therefore, we have two given points:
(8400 , 200.4) and (4200 , 206.7)
Since the relation is linear, therefore, the graph forms of straight line with the general equation:
y = mx + c where m is the slope and c is the y-intercept.
First, we will calculate the slope:
m = (y2-y1) / (x2-x1) = (206.7 - 200.4) / (4200 - 8400) = -0.0015
Therefore, the equation of the line now is:
y = -0.0015x + c
Then, we will need to calculate the y-intercept. In order to do so, we will use any give point and substitute in the previously obtained equation as follows:
y = -0.0015x + c
206.7 = -0.0015(4200) + c
c = 213
Based on the above calculations, the equation of the line is:
y = -0.0015x + 213
(b) getting the boiling point at altitude = 2100 ft:
Now, in order to calculate the boiling point at altitude 2100, we will substitute in the equation of the line as follows:
y = -0.0015(2100) + 213 = 209.85 degrees Fahrenheit
Step-by-step explanation:
PLEASEEE ASAP! I WILL CHOOSE BRAINLIST! I HAVE 5 MORE MATH QUESTIONS! Mackenzie buys 13 bottles of apple juice at the corner store for a total cost of $9.23. Assume each bottle of juice is the same price. If c represents the total cost in dollars and cents of the juice for any number, j, of bottles of juice
Answer:
c = ?
j = 13 bottles
c × j = $9.23
c = $9.23 ÷ j
= $9.23 ÷ 13
= $0.71 / 71 cents
Answer:
$0.71
Step-by-step explanation:
If c x j = $9.23 and j is 13, then c is $9.23/13
$9.23/13 = $0.71
=$0.71
7, 11, 2, 18. What number continues the pattern?
Answer:
-7
Step-by-step explanation:
Seems like the pattern is adding and then subtracting the next square number up:
7 + 4 = 11
11 - 9 = 2
2 + 16 = 18
so 18 - 25 = -7 is the next number
Pythagorean Theorem Study Guide
Answer:
a
Step-by-step explanation:
a square +b square equals to c Square
therefore
2. 2 2
a + b = c
Evaluate the expression for h=-54.
|h| + 30=
1. Observe problem
2. Plug in values
|-54|+30=
54+30=
84
Math Help Help Fast Alot of points
Here mark the angles
m<FHG=75m<FGH=55m<GHI=59°m<GIH=63°By using angle sum property
m<IGH=180-122=58So
m<FGH < m<IGH <m<GHI <m<GIH <m <FHGSo
FH<IH<GI<GH<FGAnswer:
IH < GI < GH < FH < FG
Step-by-step explanation:
Find missing angles
Sum of interior angles of a triangle = 180°
⇒ ∠GFH = 180 - 55 - 75 = 50°
⇒ ∠IGH = 180 - 59 - 63 = 58°
Side lengths in relation to interior angles
The longest side of a triangle is opposite the largest interior angle, and the shortest side is opposite the smallest angle.
Therefore, angles/sides in order of least to greatest:
ΔIGH
∠IGH = 58 → its opposite side is IH
∠GHI = 59 → its opposite side is GI
∠G|H = 63 → its opposite side is GH
Therefore, IH < GI < GH
ΔFGH
∠GFH = 50 → its opposite side is GH
∠FGH = 55 → its opposite side is FH
∠FHG = 75 → its opposite side is FG
Therefore, GH < FH < FG
Combining: IH < GI < GH < FH < FG
gena sprinted 12 yard. alicia sprinted 10 yards and 4 feet. lyona sprinted 4 yards and 7 feet less than gena how many total feet did the three girls sprint
Answer:
100 ft
Step-by-step explanation:
1 yd = 3 ft
Gena: 12 yd= 36 ft
Alicia: 10 yd and 4 ft= 34 ft
Lyona: about 10 yd= 30 ft
36 + 34 + 30 = 100