20 points
14 The base of a rectangular prism has a length of 15 inches and a width of 13 inches.
What is the area of this base of the prism in square inches?
Record your answer and fill in the bubbles on your answer document. Be sure to use
the correct place value.
195 square inches
28 square inches
56 square inches
Answer:
195 sq. in.
Step-by-step explanation:
area = length * width
area = 15 in. * 13 in. = 195 sq. in.
19. What is the solution to 5.2x = 31.2? *
Answer:
x=6
Step-by-step explanation:
hope this helps
Find the sale price if a customer buys a $40 shirt
that is 20% off.
Answer:
$8
Step-by-step explanation:
To find 10% of a number, move the decimal point over by one. Since the number is a whole the decimal point looks like this
$40.00
Move it once to get 10% which is 4. Then multiply it by 2 to get 20%.
A rowing team rowed 120 kilometers while going with the current in the same amount of time as it took to row 20 kilometers going against the current. The rate of the current was 10 kilometers per hour. Find the rate of the rowing team in still water.
Answer:
100/x+6=20/x-6
100x-600=20x+120
80x=720
x=9 miles an hour as the rowing teams' rate in still water
A chocolate company makes dark chocolate bars. The quality control department of the company has found that the weights of the chocolate bars follow a normal distribution, with a mean of 85 grams and standard deviation of 1.2 grams. To ensure a consistent product, the company has a policy to reject any chocolate bars weighing less than 82.6 grams or more than 87.4 grams. Approximately what percent of chocolate bars are rejected?
a. 0.12%
b. 0.15%
c. 0.30%
d. 2.50%
e. 5.00%
PLEASE HELP
The graph shows the distance Nathan rode his bicycle over a period of time
Answer:
15 miles an hour
Step-by-step explanation:
1,346.275 round to the nearest whole number
Answer:
1,346
Step-by-step explanation:
If the number of bacteria in a colony doubles every 21 hours and there is currently a population of 150 bacteria, what will the population be 42 hours from now?
Answer:
450
Step-by-step explanation:
i think thats right
can someone help with this (please) :D
Answer:
i think the answer to this question is 2.461
Step-by-step explanation:
For a semicircle, the total perimeter includes half of the circumference + the diameter.
The half circumference is given by 2 pi r / 2
So the perimeter of 19.02 = 2pi r/ 2 + 2r
Find x and y ( please explain )
Answer:
y = 75°
Step-by-step explanation:
y and 105°
are on a straight line ,
a straight line is 180°
180 - 105 = 75°
y=75 °
I'm not sure about x hope you understand
Find the slope of a line that passes through the given pair of points: (-3 , -1) and ( 2 , -1) .
Answer:
m=0
Step-by-step explanation:
m=y2-y1/x2-x1
m=-1-(-1)/2-(-3)
m=-1+1/2+3
m=0/5
m=0
Which of the following scenarios is the best fit for the graph?
A. The value of a $100 stock grows in value by 10% each year.
B. The batting average of a baseball team increases by 50 points each year.
C. The population of a small town decreases by 10% each year.
D. A class's percent correct on a standardized Algebra I test increases after using a new software program.
Answer: A
Step-by-step explanation:
The correct option is A.
What is an exponential function?In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
Given is that a graph,
So, from the graph we can concluded that it is an exponential and positive function,
Therefore, as x increases y also increases.
We know that the exponential function is given by =
y = abˣ
So, when x = 0, y = 100,
100 = a × b⁰
a = 100
When x = 4, y = 150,
150 = 100 × b⁴
b⁴ = 1.5
b = 1.11
y = 100(1.11)ˣ
Change = 110-100 / 100 × 100% = 10%
Therefore, we can say the value of a $100 stock grows in value by 10% each year.
Hence the correct option is A.
Learn more about exponential function click;
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What does the variable r represent in the equation 10r+4=8?
what does r represent in it?????
URGENTTTT
can someone please help
find slope/rate of change
a. 1/3
b. 3
c. 30
d. 10
Jaxon built a treehouse with a base of 12 square yards. The volume of his treehouse was 108 cubic yards, how tall is the prism? Explain your answer.
Answer:
h = 9 yds, assuming his treehouse is a rectangular shape. 9 yds seems pretty high.
Step-by-step explanation:
area = bh
108 yd³ = 12 yd² x h
h = 108/12 = 9 yds
The prism is 9 yards tall
What is the Volume of Rectangular Prism?
The area occupied inside a rectangular prism is referred to as the volume of the prism. A polyhedron with two pairs of congruent and parallel bases is referred to as a rectangular prism. It has 12 sides, 6 faces (all of which are rectangles), and 8 vertices. Given that the rectangular prism is a three-dimensional (3D) shape, the units cm3, m3, and so forth are employed to express the volume of the rectangle prism. Any polyhedron that possesses all of these qualities is referred to as a cuboid in mathematics.
Given: base of the treehouse= 12 yards²
volume of the treehouse = 108 yards³
To find : how tall is the prism ( height of the treehouse) = ?
Formula Used : The volume of a rectangular prism is calculated using the formula volume of a rectangular prism (V) = l w h,
where "l" stands for base length
"w" for base width.
"h" refers to the prism's height.
Steps for calculating the height
Step 1: The foundation area of 12 square yards has previously been specified.
Step 2: The prism's volume is 108 cubic yards
Step 3: The given rectangular prism's volume = base area x height
=> 108 cubic yards = 12 x h
=> 108/ 12 = h
=> h = 9 yards
Since , the prism is 9 yards tall
To learn more about: volume of rectangular prism
Ref: https://brainly.com/question/28060173
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Solve for x. Enter the solutions from least to greatest. 6x^2 +1 =487 lesser=x greater=x
Answer:
(-9, 9)
Step-by-step explanation:
[tex]6x^{2} +1 = 487[/tex] (Given)
-1 -1 (Getting "x" alone)
[tex]6x^{2} = 486[/tex] (Cont. Getting "x" alone)
÷6 ÷6 ↓
[tex]x^{2} = 81[/tex] ↓
[tex]\sqrt{x} ^2 = \sqrt{81}[/tex] (9 and -9 squared are both equal to 81)
↓ ↓ ↓
x = 9 x = -9 (Answer)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
A park charges $13 for one round of miniature golf and a reduced fee for each additional round played. If Tom paid $43 for 6 rounds of miniature golf, what is the reduced fee for each additional round played?
Answer:
Reduced fee for each additional round will be $5.
Step-by-step explanation:
Let the reduced fee for each additional round played = $x
Charges for one round = $13
If Tom played for 6 rounds, total charges for the 6 rounds = 13 + 6x
Since, Tom paid $43 for 6 rounds,
13 + 6x = 43
6x = 43 - 13
6x = 30
x = 5
Therefore, reduced fee for each round will be $5.
a little helps? frvvrfew3
Answer:
Step-by-step explanation:
x ≤ 165
Hope that helps!
help plssssssssssssssssss
Answer:
1,075 ft
Step-by-step explanation:
So you need to find area
15 x 25 =375 ft
35 x 20 = 700 ft
add together to get total of both
700 + 375 = 1,075
Hopefully im right!
a circle with diameter 6.2 in.
Answer:
18.84
Step-by-step explanation:
use a calculator if not use - 3.141
A ladder is placed 5ft away from a house. The ladder comes up to 12ft on the
side of the house. How long is the ladder?
Answer:
c = 13
Step-by-step explanation:
a² + b² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
√169= √c²
13 = c
A large clock on a county courthouse has a circumference of about 25 feet. The minute hand extends from the center of the clock to the edge of the clock. How long is the minute hand?
Answer:
Minute hand = 3.98 feet
Step-by-step explanation:
Circumference of a circle can be calculated by
C = 2 x pi x radius
The minute hand extends from center to the edge means that minute hand is the radius and that is required.
putting values in above equation
C = 25 and pi = 3.14
25 = 2 x 3.14 x radius
radius = 25 / 6.28
Radius = 3.98 feet
Easy points you know it’s easy points
Answer:
98 ft²
Step-by-step explanation:
Answer:
98 ft²
Step-by-step explanation:
Want points
Help with this pleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeease lol
Answer:
6- D
4- A
3- A
Step-by-step explanation:
Answer:
6. = D
4. = A
Step-by-step explanation:
6. 2(2.5)= 5
4(2.5)= 10
6(2.5) =15
9(2.5) is not 21 its 22.5
4. 125÷5 = 25
An 18-foot ladder is leaning against the side of a building such that its base makes an angle of 65º with the ground. How far from the side of the building, b, should the base of the ladder be placed? Round to the nearest tenth of a foot.
Hello!
This problem is about relating trigonometric values to an unknown side.
We are given an angle side, and we can determine that another angle made would be a 90 degree angle.
Meaning we could solve for the third unknown angle by knowing that the interior angles of a triangle add up to 180 degrees.
[tex]65+90+x+180[/tex]
[tex]x=180-90-65[/tex]
[tex]x=25[/tex]
After knowing this, we could use the law of sines, which states that the ratio of a side and the sin of its opposite angle are equal to any other ratio.
[tex]\frac{16}{sin(90)}=\frac{b}{sin(25)}[/tex]
[tex]b=16sin(25)[/tex]
Make sure to be in degrees when putting this in a calculator.
[tex]b=6.8[/tex]
Hope this helps!
Heather buys 12 patio chairs for $366. Each chair costs the same amount.
Part A
Which equation represents the best estimate for the cost of each chair?
Part B
What is the exact cost of each chair
Heather also buys 12 patio lights for $63. She estimates the cost of each light to be about $5.
She then calculates the actual cost of each light to be $2.40. Use the drop-down
boxes to explain whether her calculation is reasonable
A cylinder has a height of 4 inches and a diameter of 18 inches. Which equation can be used to find the total surface area of the cylinder in square inches?
A-S=2π(9) + π(9)´2
B-S=π(9)´2 (4)
C-S=2π(9)(4) + 2π(9)´2
D-S=π(9)(4) + π(9)´2
The equation to find the total surface area of the cylinder is S = 2π(9)(h) + 2π(9)².
As per the question, the diameter of the cylinder is given as 18 inches, so we can calculate the radius (r) by dividing the diameter by 2:
r = 18 inches / 2 = 9 inches
The height of the cylinder is given as 4 inches.
To find the total surface area of a cylinder, we can use the following equation:
Total Surface Area = 2πrh + 2πr²
Now we can substitute the values into the equation to find the total surface area:
S = 2π(9)(h) + 2π(9)²
Therefore, the required equation is S = 2π(9)(h) + 2π(9)².
Learn more about the surface area of a cylinder here :
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What is the area with the length of 5/8 ft and a width of 4/9 ft
Answer:
[tex]area \: = length \times width \\ = \frac{5}{8} \times \frac{4}{9} \\ = \frac{20}{72} \\ = \frac{10}{36} {ft}^{2} [/tex]
Hope this helps youCan I have the brainliest please?Part I
What is the area of the side yard?
Answer:
its 165 square feet
Step-by-step explanation:
i got the same question and that was the answer (:
help asap pls, thank u
Answer:
1243.4 [tex]cm^{3}[/tex]
Step-by-step explanation: