4) The diameter of a circle is 32m. The radius is represented by 4(x + 2).
Part A: Write an equation you can use to find the value of x.
Part B: What is the value of x?
Answer:
The value of x is 2
Step-by-step explanation:
Diameter = 2r -------------------------------------------------------------------(1)
where r is the radius
The value of the diameter = 32 m and radius is given to be 4(x+2)
substitute the above into equation (1) and then solve for x
32 = 2 [ 4(x + 2)]
first open the inner bracket
32 = 2[4x + 8}
then open the outer bracket
32 = 8x + 16
subtract 16 from both-side of the equation
32 - 16 = 8x +16 - 16
16 = 8x
Divide both-side of the equation by 8
16/8 = 8x/8
2 = x
x = 2
Therefore, the value of x is 2
help please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
4 feet by 3 feet
Step-by-step explanation:
I hope this helped you out
Find the area of the pentagon.
A) 107 inches2
B) 116 inches2
C) 150 inches2
D) 182 inches2
Find the area of the pentagon.
A) 107 inches2
B) 116 inches2
C) 150 inches2
D) 182 inches2
Answer:
A
Step-by-step explanation:
Answer:
A) 107 inches2
Step-by-step explanation:
4*16= 64
64/2 = 32
9+16 = 25
25/2 = 12.50
12.50*6 = 75
32 + 75 = 107
Got it right in USA TESTING
many organize a classroom party. there are 20 of cold drinks at the party, 13 of which contain diet Pepsi, what is the probability that randomly selected drink will be a diet Pepsi? answer key
Answer:
so its either 13/20
Step-by-step explanation:
if you get this wrong sorry:(
need answer asap!!!!!!!!!!!
Answer:
126 degrees
Step-by-step explanation:
A straight line makes a 180 degree angle. Since we know one side is 54, just subtract 54 from 180.
Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.85 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.
Answer:
$80.48
Attached is the image of the entry way
Step-by-step explanation:
Given that each unit length represents 1 foot.
To find the area of the shape shown in the attached image, we need to divide the shape into two parts at about 4 ft from the bottom.
The top shape is a trapezoid of base length 4 ft, top length 7 ftand height 5 ft, while the bottom shape is a parallelogram with one side equal to 4 ft and height 4 ft
Area of a Trapezium = 1/2 × (a+b)h
a = 4ft, b= 7ft, h = 5ft
Substituting the values;
Area of trapezoid = 1/2 × (7 + 4)x 5
Area of trapezoid = 27.5 ft^2
Area of a parallelogram = length × height
Length = 4 ft, height = 4 ft
Substituting the values;
Area of parallelogram = 4 x 4
Area of parallelogram = 16 ft^2
Total area = area of trapezium + parallelogram
Total area = 27.5 + 16 = 43.5 ft^2
Cost per square foot = $ 1.85
Total cost = cost per square foot × area
Total cost = $1.85 per square foot × 43.5ft^2
Total Cost = $80.48
Answer:
Sal will pay $ 80.48 to tile his entryway.
Step-by-step explanation:
Separate the entryway into simpler shapes: a trapezoid and a parallelogram.
Find the area of the simpler figures. Count units to find the dimensions.
Trapezoid
A = 1/ 2
h(b₁ + b₂)
A = 1/ 2
(5)(4 + 7)
A = 1/ 2
(5)(11)
A = 27.5
The area of the trapezoid is 27.5 ft
2 .
Parallelogram
A = bh
A = 4 · 4
A = 16
The area of the parallelogram is 16 ft
2 .
Find the area of the entryway.
A = 27.5 + 16
A = 43.5
The area of the entryway is 43.5 ft
2 .
Calculate how much Sal will pay to tile his entryway.
Area · Cost per foot = Total Cost
43.5 · $1.95 = $84.83
Sal will pay $84.83 to tile his entryway.
The cost of a shirt is $56. There is a markup of 18%
for the store. Wha t will be the cost of the shirt in the
store?
Answer:
66.08
Step-by-step explanation:
First find the markup
56 * 18%
56*.18 =10.08
Add this to the original price
56+10.08
66.08
This is the cost in the store
Answer:
$66.08
Step-by-step explanation:
18% of 56= 10.08
56+10.08=66.08
hope this helps :)
Help help help me me me
Step-by-step explanation:
...
the answer is 49/40
What number is the opposite of 98?
Answer:
-98
Step-by-step explanation:
hope this is right
Answer:
-98
Step-by-step explanation:
a negative number is the opposite of a positive number
A rectangle has a height of 7a^2 and a width of a^4+5a^2+4.
Express the area of the entire rectangle.
HURRY STRANGERS PLEASE I REALLY NEED THIS!!! A paper manufacturer is evaluating their packing procedures. Currently, they package twelve reams of paper in a box—in three stacks of four reams. However, their company has been getting complaints from the retail stores that the box is too large and heavy for the average consumer to carry by their self. So, they have decided to reduce the weight of each box by ten pounds. You have been asked to explore the different packing options based on the new weight condition and present your recommendation to the CEO of the paper company.
Identify three unique ways to package the paper given the new weight condition. Include both the dimensions of the new boxes, as well as a verbal description of how the reams will be packaged. You may include sketches if you wish.
Answer:
Step-by-step explanation:
Base on my own understanding what should be done is that three stacks will not work, because it wont be a symmetric arrangement and also one will be left out. So, two stacks of five each would be better and easy to carry. But the stacks should be arranged in such a manner that the lengths will be parallel to each other and not in-line which would increase the length making it comparatively very long. its easier to hold a (2*8.5,11,2*5=17,11,17) compact box, because it will be easy to carry a long and not heavy.
15 ÷ 3 = Δ
Find the value of Δ.
A)
5
B)
12
C)
18
D)
45
Answer:
A)5 is the answer
Step-by-step explanation:
this is the answer
Answer:
A- 5
Step-by-step explanation:
15/3 = 5
This recipe will serve 12 pancakes.
Find out how much of each ingredient you would need for 24 pancakes.
Find out how much of each ingredient you would need for 6 pancakes.
Ingredient
12 pancakes
24 pancakes
6 pancakes
4
Eggs
11 tsp
Flour
tsp
Baking Powder
What is the solution to the equation ^3sqrtX+4+ ^3sqrt2X+8=0?
x = –12
x = –4
x = 4
x = 12
Answer:
Cover 2
Step-by-step explanation:
Answer:
Uhh x is like -4 bruh
Step-by-step explanation:
So b on edge ye
What type of graph does not show the mean?
The misleading one or the one that miss out information.
"Mean" Means the middle number of the total number. Like add all the number in the graph and divide by 2
Answer:
A bar graph.
Step-by-step explanation:
Because a bar graph is a chart used to represent data visually using bars of different heights or lengths.
NEED HELP WITH THIS ASAP
Answer:
D; y= 2.52x
Step-by-step explanation:
You half $5.04 (the cost of two lbs of cranberries) and get $2.52 then multiply by x (the lbs.) equals y the cost of all the lbs. of cranberries.
Therefore getting the equation of y= 2.52x
Answer: y=2.52x
Step-by-step explanation:
if you take any of the statements you can calculate it.
Let "x" be pounds, and "y" the total cost of x pounds.
2x=5.04
Divide by 2
x=5.04/2
x=2.52
Can someone helpppppppppp
Answer:
A
Step-by-step explanation:
The reason it is A is because
It goes in biggest to lowest A B C D
C and B don't follow that so we are left with A and D
In answer D C and B are too close in percentage therefore it cannot be D
Therefore your answer is A
Hope this helped!
Can someone help me with this? ;^;
Answer:
The mode would be 10
Step-by-step explanation:
Because it is there more than the others
hope this helps! =D
Answer:
10
Step-by-step explanation:
Doug is a dog, and his friend Bert is a bird. They live in Salt Lake City, where the streets are 1/16 miles apart and arranged in a
square grid (see map). They are both standing at the corner of 6th avenue and L street. Doug can run at an average speed of 30
mi/hr through the streets of Salt Lake, and Bert can fly at an average speed of 20 mi/hr. They are about to race to the corner of
10th avenue and Estreet. who would win and why?
No map given but it shouldn't matter.
E is the 5th letter, L the 12th.
Start at S(6,12). End at E(10,5)
The vector between them, E-S=(4,-7)
Each unit is 1/16 of a mile, though that probably doesn't matter that much.
Doug has to stay on the grid, so has to run |4|+|7|=11 units. At 30 mi/hr that takes (11/16)/30 = 0.022916 hours.
Bert can go diagonally, so flies √(4²+7²)=√65 ≈ 8.06 units. At 20 mi/hr that takes (8.06/16)/20 = 0.025194 hours.
Answer: Doug wins
Why? Because it's quicker to cover 4+7 at 30 mph than it is to cover √(4²+7²) at 20 mph. That is, Doug is 1.5 times faster and the 1.5 times the diagonal distance is more than the grid distance.
Answer:
Doug wins. He finishes in 1.38 minutes. Bert takes 1.51 minutes.
Step-by-step explanation:
Each city block is a square 1/16 mile by 1/16 mile.
From 6th Av and L Street to 10th Av and E Street, they need to go 4 avenues and 7 streets over. These two distances along blocks are the legs of a right triangle. The right triangle has legs of length 4 * 1/16 mile and 7 * 1/16 mile.
leg1 = 4 * 1/16 mile = 0.25 mile
leg2 = 7 * 1.16 mile = 0.4375 mile
The hypotenuse of the right triangle can be calculated by the Pythagorean theorem.
a^2 + b^2 = c^2
(0.25 mile)^2 + (0.4375 mile)^2 = c^2
c = 0.50389
The direct distance from one corner to the other is 0.50389 miles.
The bird travels this distance since the bird can fly above the streets.
The dog has to travel along the legs of right triangle by running in the streets and avenues. The dog travels 0.25 mile + 0.4375 mile = 0.6875 miles
Now we need to see what takes less time:
Bird: distance of 0.50389 miles at 20 mph, or
Dog: distance of 0.6875 miles at 30 mph
We start with the formula for speed:
speed = distance/time
s = dt
Now we solve it for time:
st = d
t = d/s
Time equals distance divided by speed.
Now we find the times for the bird and for the dog.
Bird:
t = d/s = (0.50389 mi)/(20 mi/h) = 0.02519 hours = 1.51 minutes
Dog:
t = d/s = (0.6875 mi)/(30 mi/h) = 0.0229 hours = 1.38 minutes
The bird takes 1.51 minutes, and the dog takes 1.38 minutes.
The dog takes less time to get there, so the dog wins.
A painter pays $15 per can of paint. How many cans of paint can she buy with $1052
Answer:
70 cans
Step-by-step explanation:
1052/15=70.1333333
but you have to round down to 70
ANSWER: 70
EXPLANATION:
A triangle has angles that measure 59°, 48°, and 73°. What kind of triangle is it?
Answer: it is an isosceles triangle
Step-by-step explanation:
all three angles are lower than 90 degrees. if the angles were all higher than 90 degrees the triangle would be considered obtuse. even though all the angles are lower than 90 degrees, it would also be considered acute.
The product of Jack's age and Florence's age is 266. Jack is 14 years
old. How old is Florence?
Answer:
19
Step-by-step explanation:
you divide 266 by 14
Answer:
19
Step-by-step explanation:
266 ÷ 14 = 19
Find the value of x.
Answer:
x=51
Step-by-step explanation:
Formula: 35+16=x
Step 1: Simplify both sides of the equation.
35+16=x
(35+16)=x(Combine Like Terms)
51=x
51=x
Step 2: Flip the equation.
x=51
Hope this helps.
find x and y i will give brainliest
Answer: N= 135, M=45.
Step-by-step explanation:The formula to find the degree inside of a shape is: (n-2)180. This is an octagon, so it has 8 sides, plug this in for n.
8-2 * 180
1080 divide by 8 to get the value of n
n=135
The formula for an angle outside of the shape is:
360/n n is still eight, so plug this in for n
360/8
m=45
Answer:
n = 135 degrees ( ° ) ,
m = 45 degrees ( ° )
Step-by-step explanation:
* Sorry I didn't answer this before *
1. In this figure we can see that this visual is a representation of an octagon, provided it's 8 sides.
2. Knowing this, let us split this figure into triangle 180 degrees each ⇒ compute the total interior angles in degrees.
3. If you were to draw lines from one vertex to any other non-adjacent vertices, it would be that 6 triangles are formed.
4. One triangle ⇒ 180 degrees ( ° ) so that this octagon ⇒ 180° * number of triangles, or ⇒ 180 * 6 = 1080°
5. Knowing that this shape is a regular polygon, all angles are congruent such that if x represents one interior angle ⇒ 8x = 1080, ⇒ x = 135°. As n acts as one of the interior angles in this figure ⇒ n = 135 degrees ( ° )
6. Now through supplementary angles, the interior angle adjacent to angle m would form a linear pair, adding to 180°.
7. This would mean that m + interior angle = 180, and as all interior angles were found to be 135 degrees ⇒ m + 132 = 180 ⇒ m = 45 degrees ( ° )
I will give you all five stars ⭐⭐⭐⭐⭐
Answer:
B
Step-by-step explanation:
Seeing as the change is consistent within the vertices, this would be correct.
Find the area to the nearest hundredth
Answer:
9.0586 OR
9.06
Step-by-step explanation:
IDK, used fusion 360
Which fraction is equivalent to 15/30
A 3/4
B 2/4
C 3/5
D 5/6
Answer:
2/4
Step-by-step explanation:
pls help will mark as brainliest
Answer:
1/3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
It would have to be 3, because it says that 1/3 is wrong.
What number should both sides of the following equation be multiplied by to solve for x?
x/7.25 = 4
4
7.25
7
29
Answer:
[tex] \frac{x}{7.25} = 4 \\ x = 4 \times 7.25 \\ x = 29[/tex]
What factors do 6 and 12 have in common?
Answer:
6x^2 im pretty sure thats whats its asking for
Step-by-step explanation:
