What’s the area of the figure below?
Answer:
482.5 ft^2.
Step-by-step explanation:
The figure can be regarded as a rectangle with a triangle cut out of one corner.
The base of the triangle = 25-20 = 5 in and the height = 20 - 13 = 7 in.
The required area = area of rectangle - area of triangle
= 25*20 - 1/2 * 5 * 7
= 500 - 17.5
= 482.5 ft^2
9514 1404 393
Answer:
482.5 square inches
Step-by-step explanation:
The figure can be considered to be a 25 in by 20 in rectangle with a 5 in by 7 in triangle cut off the corner. Then the area of the figure is the area of the rectangle, less the area of the triangle.
A = LW - 1/2bh
= (25 in)(20 in) - 1/2(5 in)(7 in) = 500 in² -35/2 in² = 482 1/2 in²
The area of the figure is 482.5 square inches.
Write each percent as a common fraction
16 2/3
9514 1404 393
Answer:
1/6
Step-by-step explanation:
16 2/3% = (16 2/3)/100 = (50/3)/100 = 50/300 = 1/6
Paul is filling the rectangular prism shown with cubes that measure 14 inch along each edge.
Answer:
Step-by-step explanation:
look at the picture above please help
Answer:
♨ [tex] \underline{ \underline{ \red{\large {\tt{Step - By - Step \: Explanation}}}}} : [/tex]
☄ [tex] \underline{ \underline{ \large{ \pink{ \tt{G \: I\: V\: E \: N}}}}} : [/tex]
Height ( h ) = 4 cm , Base ( b ) = 16 cm☂ [tex] \underline{ \underline{ \large{ \purple{ \tt{T \: O \: \: F \: I \: N \: D}}}} }: [/tex]
Area of the parallelogram☃ [tex] \underline{ \underline{ \large{ \orange{ \tt{ S \: O \: L \: U \: T \: I \: O\: N}}} }}: [/tex]
☼ [tex] \boxed{ \large{ \sf{Area \: of \: a \: parallelogram = base(b) \times height(h)}}}[/tex]
~Plug the known values & then multiply!
⤑ [tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large{ \tt{16 \: cm \times 4cm}}[/tex]
⤑ [tex] \: \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \ \boxed{\boxed{\large{ \tt{64 \: {cm}^{2} }}} }[/tex]
☥ [tex] \large{ \boxed{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \bold{ \red{ \tt{64 \: {cm}^{2} }}}}}}}}[/tex]
♡ Hope I helped! ツ
Have a wonderful day / night !
✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] ✔
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}\huge \fbox \pink {:}\huge \fbox \pink{-}[/tex]
Given:
base[b]=16cm
height [h]=4cm
we have
Area of parallelogram=base ×height
=16×4=64cm²is your answer.
Find the measure of RPQ
Answer:
Step-by-step explanation:
<SRQ = 270 degrees
<RPQ is just 31 degrees short of that amount.
<RPQ = <SRQ - 31
<RPQ = 270 - 31
<RPQ = 239
List down three angles formed when a transversal intersects the two lines
Answer:
The intersections of a transversal with two lines create various types of pairs of angles: consecutive interior angles, consecutive exterior angles, corresponding angles, and alternate angles.
If 8 people invest each in a stamp collection and after a year the collection is worth $3,800, how much did each person lose? show work
This question is incomplete, the complete question is;
If 8 people invest $500 each in a stamp collection and after a year the collection is worth $3,800, how much did each person lose? show work
Answer:
Each person lost $25
Step-by-step explanation:
Given the data in the question;
Number people that invested = 8
Amount each invested = $500
worth after a year the collection = $3,800
Now, the amount each person lost will be;
[tex]Lost_{each-person[/tex] = Total loss / total number of persons
[tex]Lost_{each-person[/tex] = [ ( 500 × 8 ) - 3800 ] / 8
[tex]Lost_{each-person[/tex] = [ 4000 - 3800 ] / 8
[tex]Lost_{each-person[/tex] = 200 / 8
[tex]Lost_{each-person[/tex] = 25
Therefore, each person lost $25
2x-y=-5 x+y=8 elimination
Pls help 10 ptsssssssssssss
NO LINKS
I MEAN IT I WILL FLAG YOU
Answer:
20
Step-by-step explanation:
its is 20 for both because the 0 and 20 are the same.
Please help me please
Answer:
F
Step-by-step explanation:
Andrew, Blake, Jamal, Ernesto
What is the image of (1, -1) after a dilation by a scale factor of 4 centered at the origin?
Answer:
5, 3
Step-by-step explanation:
1,-1 enlarged by 4
New coordinates = 4 + 1 = 5
-1 + 4 = 3
The required scaled image of (1, -1) after dilation by scale factor 4 is (5,3).
As per the question, determine the image of (1, -1) after dilation by a scale factor of 4 centered at the origin.
What is the scale factor?The scale factor is defined as the ratio of modified change in length to
What is coordinate?Coordinate, is represented as the values on the x-axis and y-axis of the graph
Here,
The dilation of the coordinate by a scale factor of 4 can be given as,
x = 1 + 4 = 5
y = -1 + 4 = 3
Thus, the required scaled image of (1, -1) after dilation by scale factor 4 is (5,3).
Learn more about Scale factors here:
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Let g(x)x and h(x)
. Evaluate .
9514 1404 393
Answer:
h(g(x)) = (1/5)x² +4/5
Step-by-step explanation:
[tex](h\circ g)(x)=h(g(x))=h(x^2+2) = \dfrac{(x^2+2)+2}{5}=\dfrac{x^2+4}{5}\\\\\boxed{(h\circ g)(x)=\dfrac{1}{5}x^2+\dfrac{4}{5}}[/tex]
What is an equation of the line that passes through the points (4, -1) and
(-8, –7)?
Answer:
y=1/2x-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-7-(-1))/(-8-4)
m=(-7+1)/-12
m=-6/-12
m=1/2
y-y1=m(x-x1)
y-(-1)=1/2(x-4)
y+1=1/2x-4/2
y=1/2x-2-1
y=1/2x-3
what's the answer to this? (Zearn)
Answer: 68 1/18
Step-by-step explanation:
Area of the large rectangle:
11 1/3 x 7 = 79 1/3
Area of tiled floor:
4 5/6 x 2 1/3 = 11 5/18
79 1/3 - 11 5/18 = 68 1/18
Answer:
68 1/18
Step-by-step explanation:
7 x 11 1/3 = 79 1/3
4 5/6 x 2 1/3 = 11 5/18
79 1/3 - 11 5/18 = 68 1/8
Which one is correct?
Answer:
C! I remember this hehehehe xD
kamal earned a total of $32500 in 2017
he paid 9% of his amount into his pension
he paid 22% tax on the remainder of his earings
what is the amount left after paying his pension and his tax???
need the working.
$32500 * 0.09 = 2925
32500-2925 = 29575
29575 * 0.22 = 6506.5
Amount left: 29575 - 6506.5 = 23068.5
You find a mutual fund that offers approximately 6% APR compounded
monthly. You will invest enough each month so that you will have $1000 at
the end of the year. How much money will you have invested in total after 1
year?
O A. $711.32
O B. $994.60
O c. $912.86
O D. $972.84
$972.84 is invested in total after 1 year.
Correct option is (D)
What is compound interest?Compound interest is generally understood to be interest that is earned on both the original investment and any subsequent interest. Compound interest is, thus, the interest earned on both the initial principal and the interest that has already been accrued on this principal.
As per the given data:
Compounding frequency (n) = 12
Final value (FV) = $1000
Time period (t) = 12 months = 1 year
[tex]FV = P(1+\frac{r}{n})^{nt}[/tex]
FV – Future worth of the investment is the final balance in our calculation.
P – Initial balance (the value of the investment);
r – Annual interest rate (in decimal);
n – Number of times the interest is compounded per year (compounding frequency); and
t – Numbers of years the money is invested for.
Substituting the given values
[tex]1000 = P(1+\frac{0.06}{12})^{12 \times 1}[/tex]
[tex]P = \$ 972.84[/tex]
Hence, $972.84 is invested in total after 1 year.
To learn more about compound interest, click:
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What is an explicit rule in math?
Answer:
An explicit formula designates the nth term of the sequence, as an expression of n (where n = the term's location). It defines the sequence as a formula in terms of n. It may be written in either subscript notation a n, or in functional notation, f (n). Sequence: {10, 15, 20, 25, 30, 35, ...}.
Step-by-step explanation:
Answer:
An explicit formula designates the nth term of the sequence, as an expression of n (where n = the term's location). It defines the sequence as a formula in terms of n. ... This example is an arithmetic sequence(the same number, 5, is added to each term to get to the next term).
Step-by-step explanation:
Currently, the number of people entering a shopping mall is 109. It is estimated that the number of people entering the shopping mall will decrease by 3% each hour. Find the total number of people entering the shopping mall at the end of 4 hours. (Round your answer to the nearest whole number if necessary.)
Answer:
96 people.
Step-by-step explanation:
Exponential equation for a decreasing amount:
The exponential equation for a decreasing amount is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial rate and r is the decay rate, as a decimal.
Currently, the number of people entering a shopping mall is 109.
This means that [tex]A(0) = 109[/tex]
It is estimated that the number of people entering the shopping mall will decrease by 3% each hour.
This means that [tex]r = 0.03[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 109(1-0.03)^t[/tex]
[tex]A(t) = 109(0.97)^t[/tex]
Find the total number of people entering the shopping mall at the end of 4 hours.
This is A(4). So
[tex]A(4) = 109(0.97)^4 = 96.49[/tex]
Rounding to the nearest whole number, 96 people.
Please help and I will give brainliest if u do.
Answer:
See explanation below
Step-by-step explanation:
The width is 4 inches
So, the area of the base is 20 inches squared
The height is 4 inches
So, the volume of the prism is 80 inches cubed
Answer:
is this like BxH or is there a specific equation
Step-by-step explanation:
How many centimeters are equal to 0.4 inches? Remember, 2.54 cm = 1 in.
Enter you number as a decimal and round to the nearest hundredth. 
Answer:
1.016 cm
Step-by-step explanation:
1 inch = 2.54 cm
0.4 inch = 2.54 * 0.4 cm = 1.016 cm
A football coach expects 453 people to come to the next game. A set of bleachers holds 56 fans. If each set of bleachers costs $99, will the coach need to spend more than $1,000 for the bleachers? How can you decide without using division? and links are included to but if it is to cheat i am reporting them
Answer:
No need to spend more than $ 1,000
Step-by-step explanation:
assume the coach needs 10 set
10 set will cover 10×56 = 560 people that more than 453.
so,
the cost is only 10× $99 = $ 990
that less than $ 1,000
Answer:
Fewer than 10 sets of bleachers are needed. This is because 5610 560, which is greater than 453. The cost of 10 sets of bleachers would be $9910 $ 990, which is less than $1,000. The coach will not need to spend more than $1,000 for the bleachers.
Which equation is not equivalent
Answer:
C
Step-by-step explanation:
(2x+3)(x+4) = 2x² + 8x + 3x + 12
= 2x² + 11x + 12 ≠ 2x² + 10x + 12
What is an equation of the line that passes through the points (-4, -4) and (4, 6)?
Answer:
y = (5/4)x+1
Step-by-step explanation:
[tex]\frac{y+4}{x+4} =\frac{-4-6}{-4-4}[/tex]
[tex]\frac{y+4}{x+4} = \frac{-10}{-8} \\or, 4(y+4) = 5(x+4)\\or, 4y= 5x+20-16\\or, y= \frac{5}{4}x+1[/tex]
Find the value of x.
Answer:
[tex] \frac{(x - 8) + 4}{(x - 5) + 3} = \frac{4}{3} \\ \frac{x - 4}{x - 2} = \frac{4}{3} \\ 3(x - 4) = 4(x - 2) \\ 3x - 12 = 4x - 8 \\ x = - 4[/tex]
Evaluate the 6 trig functions of the angle e. (please make sure to reduce ALL fractions)! 6 8 sin o 1 CSCA = cos e sec 0 tan cote
Answer:
I can't really see the question. Maybe the below will help anyway
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
Solve: 3.92 ÷ 0.07 (Answer as a decimal)
Answer:
56
Step-by-step explanation:
Answer:
0.56 or 56
Step-by-step explanation:
3.92/0.07 is 56 if you wanted to place it in decimal for you would have to move the decimal point 2 places over to get a decimal.
compete the two column proof
Answer:
i cant read half the stuff on the paper
bye
all real numbers are complex numbers also. true or false?
Answer:
From the first definition, we can conclude that any imaginary number is also a complex number. From the second definition, we can conclude that any real number is also a complex number.
Write the opposite of the situation:
8 yd. gain in foot ball
pls help will give brainiest for fast and correct answer
1
Answer:
-8 yd. lost in football
Step-by-step explanation: