Answer:
150 cm²
Step-by-step explanation:
Since the room is square, assuming that it is a cube, the area will be 6s², where s is the side length.
Given a side length of 5cm, the area is
6(5)² = 6cm × 25cm = 150cm²
7. If A (6,8) and B (7, 4J are two points,
find the distance between a andB.
any
- Solo,
Answer:
√17 units
Step-by-step explanation:
(6, 8) & (7, 4)
To find the distance between two points, we use the distance formula:
[tex]d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }[/tex]
Plug in the values you know.
[tex]d = \sqrt{(7 -6)^2 + (4 -8)^2 }[/tex]
Evaluate the parentheses.
[tex]d = \sqrt{(1)^2 + (-4)^2 }[/tex]
Evaluate the exponents.
[tex]d = \sqrt{(1) + (16) }[/tex]
Add.
[tex]d = \sqrt{(17)[/tex]
Evaluate the square root.
[tex]d=\sqrt{17}[/tex]
This square root is already fully simplified.
Your answer is √17 units.
Hope this helps!
Find the surface area and volume of the pyramid.
Given:
The figure of a square base pyramid.
To find:
The area of volume of the pyramid.
Solution:
The area of square base is:
[tex]B=(side)^2[/tex]
[tex]B=(16)^2[/tex]
[tex]B=256[/tex]
Area of one triangular side of the pyramid is:
[tex]A_1=\dfrac{1}{2}\times base\times height[/tex]
[tex]A_1=\dfrac{1}{2}\times 16\times 13[/tex]
[tex]A_1=104[/tex]
Now, the total surface area of the pyramid is:
[tex]A=B+4A_1[/tex]
[tex]A=256+4(104)[/tex]
[tex]A=256+416[/tex]
[tex]A=672[/tex]
Therefore, the surface area of the pyramid is 672 square m.
The volume of the pyramid is:
[tex]V=\dfrac{1}{3}Bh[/tex]
Where, B is the base area and h is the vertical height of the pyramid.
Substituting [tex]B=256,\ h=6[/tex], we get
[tex]V=\dfrac{1}{3}(256)(h)[/tex]
[tex]V=(256)(2)[/tex]
[tex]V=512[/tex]
Therefore, the volume of the pyramid is 512 cubic meters.
Hence the correct option is d.
Liam is planning a trip to Ireland and plans to pay for his airfare using Air Miles. The cost
for a flight from Toronto to Dublin is $625 plus $123 in fees and HST. Liam will need a
return ticket as well which retails for the same cost. Liam also intends to use his Aeroplan
points to get the flight. The cost of a flight in Aeroplan points is 80,000 one way and does
not include additional fees, but does include HST. Liam currently has 120,000 Aeroplan
points and plans to drain his account on these flights. How much will Liam pay for his
trip?
Hint: Sales Tax (HST) in Ontario is 13%
The best price found on Skyscanner for a flight from Dublin to Toronto is €289. This was found by aggregating across different carriers and is the cheapest price for the whole month. How long does it take to fly from Dublin to Toronto? 7h 20min is the average flight time from Dublin to Toronto. How many airlines fly direct from Dublin to Toronto?
How do you find the area of pentagons like this?
Answer:
Hi answer: 41What I do for these is do the shapes separately and use the appropriate formulas! Then add them Up! So the easiest is the rectangle that would be 5 × 4 = 20 then the triangles would be 5 x 1 = 5 then ÷ by 2 = 2.5 but since there are two of those triangles we just multiply by 2 again so 2.5 × 2 = 5 for the last two triangles at the top it would be 4 × 4 = 16 then ÷ by 2 = 8 but since theres 2 triangles multiply by 2 so 8 × 2 = 16 now we add all of these numbers up so 20 + 5 + 16 = 41 Hope that helps!
A man buys a car for 100k and sells it for 130k. He then buys the same car for 160k and sells it for 170k. Does he make a profit or a loss.
Kyle and Leah both work in the evenings. Leah
has every fourth evening off and Kyle has
every third evening off. They were both off
on March 3. When in March are they both off
again?
Answer:
The awnser is March 15th because every 12 days they are off at the same time
Step-by-step explanation:
BRAINLIEST PLEASEYou are on a boat and measuring the height of a lighthouse, off in the distance. Your boat is 45ft from the coast. You measure the angle of elevation from your point on the boat to the top of the lighthouse to be 59∘. Find the height of the lighthouse to the nearest foot.
use the scatter plot and the trend line to show answer a-c. Write an equation for the trend line. predict the value of y when x =21 Predict the value of x when y = 150
Answer:
See Explanation
Step-by-step explanation:
This question is incomplete, as the required scatter plot is not included in the question. I will answer your question with the attached plot.
Solving (a): The equation
Pick any [tex]two[/tex] [tex]points[/tex]on the [tex]trend[/tex] line
[tex](x_1,y_1) = (30,40)[/tex]
[tex](x_2,y_2) = (80,70)[/tex]
[tex]y = 0.6x + 22[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{70 - 40}{80-30}[/tex]
[tex]m = \frac{30}{50}[/tex]
[tex]m = 0.6[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 0.6(x - 30) + 40[/tex]
[tex]y = 0.6x - 18 + 40[/tex]
[tex]y = 0.6x + 22[/tex]
Solving (b): y, when [tex]x = 21[/tex]
[tex]y = 0.6x + 22[/tex]
Substitute [tex]x = 21[/tex]
[tex]y = 0.6 * 21 + 22[/tex]
[tex]y = 12.6 + 22[/tex]
[tex]y = 34.6[/tex]
Solving (c): x when [tex]y=150[/tex]
[tex]y = 0.6x + 22[/tex]
Substitute [tex]y=150[/tex]
[tex]150 = 0.6x + 22[/tex]
Collect like terms
[tex]0.6x = 150 -22[/tex]
[tex]0.6x = 128[/tex]
Solve for x
[tex]x = \frac{128}{0.6}[/tex]
[tex]x = 213.3[/tex]
Sumaya's soccer coach randomly passes out three kinds of fruit bars (strawberry, blueberry, and apple) after each game. Sumaya has two games one morning. This table lists the sample space of outcomes. Second game Strawberry Blueberry Apple Strawberry SS SB SA First game Blueberry BS BB BA Apple AS AB AA In the event SB, Sumaya gets a strawberry bar after game 1 and a blueberry bar after game 2. Which outcome would be included in the event gets only one apple bar"?
Answer:
A. AA
Step-by-step explanation:
Answer: AS is your answer!
Step-by-step explanation: AS has only one apple bar, which if you have the 5.1,2 Exam, you got this!
The deposit on one can is $0.05, what is the deposit on 23 cans?
Answer: $1.15
Step-by-step explanation:
Data 1 can(c)=0.05
23 cans(c)=x
Only step, multiply 23x0.05=1.15
Reason: Since 1 c=0.05, multiplying is by 23(number of cans) will get us the rate of 23 c
Answer: $1.15(Don't forget the dollar sign)
I hope this helps!
A plane travels at a speed of 180 mph in still air. Flying with a tailwind, the plane is clocked over a distance of 900 miles. Flying against a headwind, it takes 2 hours
longer to complete the return trip. What was the wind velocity? (Round your answer to the nearest tenth.)
Carla is solving a math problem. Which answer shows the equation and solution
to x times 3 plus 4 equals 16? *
3x + 16 = 4; x = -4
3x + 4 = 16; x = 4
3x = 4 + 16; x = 2/3
3(x + 4) = 16; x = 4/3
Please help this is due, not sure if I did this right. Triangle ABC is shown below with vertices A (7,4), B(1,1), and C(9,0). Find the area and perimeter of the triangle.
i think u did it right
If purple paint is sold by the gallon. How many gallons will we need to buy?
Answer:
what?
Step-by-step explanation:
Answer:
However much gallons of purple paint you need
what value of x makes 8x - 20 equals to 44?
Answer:
x = 8
Step-by-step explanation:
8x - 20 = 44
8x - 20 + 20 = 44 + 20
8x = 64
8x ÷ 8 = 64 ÷ 8
x = 8
Naveen earns Rs 55,000 per month .He spends 3/5 of his income every month and saves the rest of the money .Find his monthly savings ?
Answer:
Rs.22000
Step-by-step explanation:
Given data
Naveen earns Rs 55,000 per month
He spends 3/5 of his income every month
Let us find the amount he spends
=3/5*55,000
=165000/5
=Rs.33000
Hence the savings is
= 55,000-33000
=Rs.22000
Solve.
-7} + (-5) + 8 = 0
6
-21
-4.5
3
Answer: -4=0
Step-by-step explanation:
What were the dimensions of the original photo? 11 inches by 11 inches 5 inches by 5 inches 3 + 4 StartRoot 2 EndRoot inches by 3 + 4 StartRoot 2 EndRoot inches 3 4 StartRoot 2 EndRoot inches by 3 4 StartRoot 2 EndRoot inches
Answer:
11x11 inches
Step-by-step explanation:
You are missing the first part of the problem, which is the following:
"Miriam reduced a square photo by cutting 3 inches away from the length and the width so it will fit in her photo album. The area of the reduced photo is 64 square inches. In the equation (x – 3)2 = 64, x represents the side measure of the original photo. What were the dimensions of the original photo?"
With this in mind, we just need to solve the equation and determine the value of x. The equation is:
(x - 3)² = 64
Solving this, we have:
x - 3 = √64
x - 3 = 8
x = 8 + 3
x = 11Therefore, we can conclude that the original dimensions of the photo are 11x11 inches.
Hope this helps
Answer:
11x11
Step-by-step explanation:
A dime is dropped from a building at a
height of 1,024 ft. If the equation for
height as a function of time is
h(t) = -16t2 + initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the dime to
hit the ground?
[?] seconds
Answer:
8 seconds
Step-by-step explanation:
Given :
h(t) = -16t2 + initial height
Initial height = 1024 feets
By the time it hits the ground, h(t) = 0
Equation becomes :
0 = - 16t² + 1024
Solve for t
-16t² = 1024
t² = 1024 / -16
t² = 64
t = √64
t = 8
Hence, it will take 8 seconds
What is the perimeter of the kite?
a.44
b.140
Answer:
B.) 140 is your answer for your problem
Which number makes this equation true?
(12 + 5) * 7 = (12 x 7) + (5 * __)
(c) 7
7×(12 + 5) = (7×12) + (7× 5)
Explanation:
Distributive property say that multiplication an division can be distributed over parenthesis.
a x (b+c) = a x b + a x c
pls help fast fast fast!!!
Answer:
Jesse can pack 18 books.
Step-by-step explanation:
2.4*18=43.2+5.7==48.9
you cant fit more than fifty becaue 48.9+2.4=51.3, thus 18 is your answer
Find the volume of a drum with a radius of 7 inches and a height of 15 inches
Answer:
pi*15*7^2=735pi=2309 (to the nearest whole number)
- A box of specialty baking flour holds 2 kilograms. How many angel food cakes can be made with a recipe that calls for 100 grams of flour?
Answer:
20
Step-by-step explanation:
1000g = 1 kil0
2 x 1000 = 2000g
Number of cakes = 2000 / 100 = 20
Rachel rolls two number cubes, each with sides that are labeled 1 to 6. What is the probability that one number cube lands on a 1 and the other lands on an even?
Answer:
4/6. out of 1 2 3 4 5 6 only 3 number are even.but it says lands on 1 and the other lands on even. so 3 +1 = 4. sorry if it doesnt make sense
if f (x)=2[x],find f(1 1/4).
Answer:
11/2
Step-by-step explanation:
f(11/4) means x = 11/4
so substitute 11/4 for x in the eqn 2[x]
f(11/4) = 2[11/4] = 11/2
Anishaa has read 125 pages of a 405 page book. She reads 20 pages each day. Write an equation that represents how long it will take her to finish reading this book.
Answer:
Time it would take her to finish the book = 280 / 20
Step-by-step explanation:
Time it would take her to finish the book = amount of pages left / how many pages she reads in a day
amount of pages left = 405 - 125 = 280
pages she reads in a day = 20
280 / 20
Use the diagram to answer the question.
35.6 m
23.4 m
15.2 m
23.4 m
What is the area of the triangle?
OA. 82.40 m²
B. 97 60 m2
Answer:
B97.60
Step-by-step explanation:
I got b bc if u add all the number up u get that answer.
help me solve this please
[tex] \huge\underline{ \underline{ \bf{Answer࿐} }}[/tex]
parallel sides measure :
10 ft -(a)12 ft. -(b)Area :
44 ft²height (h) = x
___________________
[tex] \boxed{Area = \frac{1}{2} \times (a + b) \times h}[/tex]
[tex] \dfrac{1}{2} \times (10 + 12) \times x = 44[/tex][tex] \dfrac{1}{2} \times 22 \times x = 44[/tex][tex]11x = 44[/tex][tex] \boxed{ 4 \: \: ft}[/tex]Therefore, height of Trapezoid is 4 ft
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
"Mindy has a piece of string that is 5 1/2yd long. She cuts it into pieces that are each 1/2 yd long. Solve the equation 5 1/2 = 1/2x to find out how many pieces of string, x, she gets. Show your work
Answer:
Step-by-step explanation:
Mindy has a piece of string that is 5 1/2yd long. She cuts it into pieces that are each 1/2 yd long. Solve the equation 5 1/2 = 1/2x to find out how many pieces of string, x, she gets. Show your work