Answer:
164.
Step-by-step explanation:
We can break this shape into a rectangle and a trapezoid.
Area for a rectangle is l x w, or in this case, 8 x 16.
8 x 16 = 128, so the rectangle’s area is 128.
Area for a trapezoid is ((a+b)/2)h.
We do not have all the info we need to solve this equation yet. We need the measurement of two sides of the trapezoid. This is 16 - 12, or 4. The other side of the trapezoid we need to find is 16 - 8, or 8.
Now we can plug in the numbers.
((8 + 10)/2)4
(18/2)4
9 x 4
36
Now we can add up the areas of both shapes to find the answer.
36 + 128 = 164, so the answer is 164.
Answer:164
Step-by-step explanation:
step 1: divide the irregular shape into regular shapes in this case Triangle and two rectangles
step 2: Calculate the individual areas for the shapes the area of the rectangle is (128) because the sides 16 and 8 add up to 128 as area.For the smaller rectangle the area is (32) since 8 times 4 is equal to 32 and lastly for the triangle the area is four since the base of 2 times the height of 4 equals 8 and 8 divided by two is 4 so the are of the triangle is (4)
step 3: Combine all the areas 128+32+4=64 therefore the area for the irregular figure is (164)
Solve this on your own and find the unit rate of miles per hour.
How much paper is needed to make a cone with a radius of 6cm, a height of 8cm, and a slant height of 10cm?
[tex]\sf\large\underline{\star Given:-}[/tex]
[tex]\rightarrow[/tex] Radius(r) of cone = [tex]\sf\pink{6cm.}[/tex]
[tex]\rightarrow[/tex] Height(h) of Cone = [tex]\sf\pink{8cm.}[/tex]
[tex]\rightarrow[/tex] Slant height(l) of cone = [tex]\sf\pink{10cm}[/tex]
[tex]\sf\large\underline{\star To \: Find:-}[/tex]
[tex]\rightarrow[/tex] Length of paper needed to make a cone with above given dimensions (i.e, curved surface area of cone).
[tex]\sf\large\underline{\star Solution:-}[/tex]
[tex]\rightarrow[/tex] As we know that,
Curved surface area of cone = [tex]\sf\blue{πrl}[/tex]
On substituting the value of radius(r) and slant height(l) in this formula we get,
[tex]\rightarrow[/tex] [tex]\sf{=\: \frac{22}{7}×6×10}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\: \frac{22}{7}×60}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\: \frac{1320}{7}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{=\: 188.57 cm^2.}[/tex]
Therefore, [tex]\sf\purple{188.57cm^2}[/tex] paper is needed to make a cone of given dimensions.
_____________________________
Hope it helps:)
Step-by-step explanation:
Given:-
Radius of cone :- 6cmHeight of cone :- 8cmSlant height of cone :- 10 cmTo find :-
How much paper is needed to make a coneConcept :-
We need to find the Curved surface area of cone to find the amount of paper needed to make the cone of given dimensions.Solution :-
As we know ,
the formula for finding the curved surface area of cone :- πrl
putting the known values ,
CSA :- 3.14 × 6 × 10 cm²
CSA of cone :- 188.4 cm²
Determine co-ordinates of the mid point of a line segment with endpoints at: L(12,8) and M(18,2)
Step-by-step explanation:
the formula for the mid point is:
{(x1 + x2)/2 , (y1 + y2)/2}
so using the formula we get:
(15, 5)
also are you sure that the question wants the midpoint? since the answer is not included in the choices
Answer:
C(15,3)
Step-by-step explanation:
Midpoint = [tex]\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2}[/tex]
= [tex]\frac{12_{}+18_{} }{2}, \frac{8_{}+2_{} }{2}[/tex]
= 15,5 (which is closest to C, i think there is a mistake in the question as there is only one formula to find midpoint so y coordinate has to be 5)
i need help!!! please help me
Answer:
2nd and 4th option
Step-by-step explanation:
The equivalent expression is,
⇒ 4 (5 - 2d)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ 20 - 8d
Now, We can simplify the expression as;
⇒ 20 - 8d
⇒ 4 x 5 - 4 x 2d
⇒ 4 (5 - 2d)
Thus, The equivalent expression is,
⇒ 4 (5 - 2d)
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Mrs. Mueller writes an inequality on the board. The table shows the responses of six students for possible values of x.
Which students have correct responses to Mrs. Mueller's inequality?
Select ALL that apply.
Answer:
Maya, Pablo
Step-by-step explanation:
We solve the inequality to find how big x must be to fit the inequality.
[tex]\frac{3}{5}x > 6\\ x > 10[/tex]
Since x has to be greater than 10, anyone with an answer above that is correct.
Maya and Pablo are the only two.
solve using completing the square method
Answer:
x=3.48 or -1.98
Step-by-step explanation:
2x^2-3x-8=0
x^2-1.5x-4=0
(x-0.75)^2=0
x^2-1.5x-0.5625=0
(x-0.75)^2-7.4375=0
(x-0.75)=√(7.4375)
x=0.75±√(7.4375)
x=3.48 or -1.98
x² + 5x + 6
Factor each polynomial.
Gloria is an artist. She sets a goal to paint 2 pieces every month. She has already painted 5 pieces. The number of pieces that Gloria will paint will depend on how many months for which she paints. Which statements describe the total number of pieces "p" Gloria will have painted after "t" months, if she meets her goal? Select all the statements that are true.
Answer:
O The independent variable is T and P is the dependent variable
O The P increases by 2 as T increases by 1
This is a picture of a cube and the net for the cube.
What is the surface area of the cube?
Answer:
6a²
Step-by-step explanation:
6×5² = 6×25 = 150cm²
thank you
Answer:
150 centimeters cubed
Step-by-step explanation:
[tex]6x2^2= 150[/tex]
chris took a spelling quiz last week.she got 12 out of 16 problems correct.what percentage did chris get correct
Answer:
Chris got 75% correct.
Step-by-step explanation:
[tex]\frac{12}{16}[/tex] x 100 = 75
So, the percentage chris got correct is 75%
Answer:
He got 75% correct
Step-by-step explanation:
you can do it like this:
[tex]\frac{12}{16}[/tex] × 100 = 3× 25= 75%
Hope you understood and it helped!!
4+3÷3(67)-5×8
What is the answer
Please help Will give BRAINLIEST !!! :)
Answer:
D no. is for sure another I also don't know. So sorry.......
Can someone please help
Ahhh, the graph! Such an interesting thing. I think I can help you...
The answer is B - (3, -4).
My explanation is this.
In an ordered pair (like the one I just mentioned), the x value and the y value are represented like so: (x, y.)
If you start from the middle of the graph, where the points intersect, if you count three lines over on the horizontal line, that's your x value. 3.
But for the y, since we're counting down on the vertical line, not up, we'll have a -4 instead of a positive.
Therefore the answer (3, -4)
I hope this answers your question.
-Toremi
Hello people ~
factorise : 3x² + 10x + 8
Answer:
(x + 2)(3x + 4)
Step-by-step explanation:
3x² + 10x + 8
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × 8 = 24 and sum = + 10
the factors are + 6 and + 4
use these factors to split the x- term
3x² + 6x + 4x + 8 ( factor first/second and third/fourth terms )
= 3x(x + 2) + 4(x + 2) ← factor out (x + 2) from each term
= (x + 2)(3x + 4) ← in factored form
[tex]\\ \rm\Rrightarrow 3x^2+10x+8[/tex]
[tex]\\ \rm\Rrightarrow 3x^2+6x+4x+8[/tex]
[tex]\\ \rm\Rrightarrow 3x(x+2)+4(x+2)[/tex]
[tex]\\ \rm\Rrightarrow (3x+4)(x+2)[/tex]
Done!
I’m in need of help
Answer: 196 degrees
Step-by-step explanation:
The diameter of a semicircle is 30 miles. What is the semicircles radius ?
Answer:
D by 2 means 30 divides 2 frst of all youuhave to find radius after that semi circle
Determine the value of the angle.
Angle ADF=
Answer:
90 degree
Step-by-step explanation:
we can see that angle adf is a right angle which means it's value is 90 degree
This figure represents the base of an fish tank that is 6 inches high.
What is the volume of the fish tank?
390 in³
330 in³
270 in³
240 in³
Image shows a polygon that looks like a rectangle with a triangle attach to the lower right side of it. The polygon has 5 sides. The left side is 5 inches tall. The bottom side is perpendicular to the left side and is 12 inches. The top is perpendicular to the left side also and is 7 inches tall. On the right side, a side is perpendicular to the top side and is 3 inches long. It looks like it stops almost midway on the right side. Then finally the last side attaches the 3 inches segment to the bottom side. This slant side is not labeled.
Answer:
The Answer Is 240in^3
Step-by-step explanation:
I Took The Test And Got It Right.
The Volume of the fish tank is 240 in³.
The correct option is (D).
What is the volume of plane shapes?The volume of a flat shape resembles a three-dimensional representation of the shape's boundary.
Given:
The figure can be differentiated into two shapes;
A rectangleA triangleThe volume of the rectangle is known as:
= Length × Breadth
= 7 inches × 5 inches
= 35 inches²
The volume of the triangle is:
= 1/2 × base × height
= 1/2 × 2 × 5
= 5 inches²
The total volume of the base of the fish tank now is:
= 35 inches² + 5 inches²
= 40 inches²
Now, the volume of the fish tank is:
= Height × base of the fish tank
= 6 inches × 40 inches²
= 240 in³
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Mike invests $4000 in an account that earns 3% annual interest. How much money will there be in the account after 3 years if the interest is compounded semi-annually?
Answer:
$4786.72
Step-by-step explanation:
4000(1+0.03/6)^12(3)
Use this formula to find the compounded interest after each 6 months, which would have an interest rate used to increase the amount of money.
h circles have the same center. What is the area of the shaded region?
d=19.6 mm
17.4 mm
Use 3.14 for . Write your answer as a whole number or a decimal rounded to the nearest hundredth.
Answer:
the answer is 725.71
Step-by-step explanation:
0.6 litres in the ratio 7:5
1. Simplify the radical V3c^2/v27
Hi! To solve this problem, your first step is to:
c2
Simplify ———
v27
The Equation is at the end of step 1: c2
(v3) • ———
v27
Now STEP 2:
Dividing exponential expressions :
2.1 v3 divided by v27 = v(3 - 27) = v(-24) = 1/v24
After we done this, your Final result is: c2
———
v24
Two concentric circles are of radii 10 cm and 8 cm, then the length of the chord of the larger circle which touches the smaller circle is
Answer:
12 cmStep-by-step explanation:
Let O be the centre of the circle of radii 10 cm and 8 cm.
In given figure,
AP = PB and OP⊥AB
Applying Pythagoras theorem in ∆OPA, we get
↠ OA² = OP² + AP²
↠ (10)² = (8)² + AP²
↠ 100 = 64 + AP²
↠ 100 - 64 = AP²
↠ 36 = AP²
↠ √36 = AP
↠ 6 = AP
Now,
↠ AB = 2AP
↠ AB = 2(6)
↠ AB = 12 cm
Hence,
The length of the chord of the larger circle 12 cm
y=4x-1+
y = 3x +7
i don’t know how to do this and i need steps on how
Use the point-slope form of a line to write the equation of
a line that has a slope of 2 and passes through the point
(4,3). Write the equation in slope-intercept form.
Answer:
y=2x-5
Step-by-step explanation:
Hi there!
We are given that a line has a slope of 2, and passes through the point (4,3)
We want to use point-slope form to find this equation of the line, yet we want to write this in slope-intercept form
Point-slope form is given as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point
As we are already given the slope and a point, we can substitute these values into the formula to find the line.
First, substitute 2 as m in the equation:
[tex]y-y_1=2(x-x_1)[/tex]
Now substitute 4 as [tex]x_1[/tex] and 3 as [tex]y_1[/tex]
[tex]y-3=2(x-4)[/tex]
This is the equation of the line in point-slope form.
Now we need to write it in slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
We can actually get to slope-intercept form from point-slope form.
First, distribute 2 to both x and -4 on the right side
y-3=2x-8
Now add 3 to both sides
y=2x-5
Hope this helps!
Which statute generates statistical data that is generally cited to support findings.
The statute generates statistical data that is generally cited to support findings is the Truth in Lending Act.
What is statistical data?It should be noted that a statistical data simply means factual information that are recorded for analysis purpose.
In this case, the statute generates statistical data that is generally cited to support findings is the Truth in Lending Act. It helps protect unfair credit billing and card practices.
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Devaughn is 6 years older than Sydney. The sum of their ages is 80. What is Sydney's age?
Answer:
37 and 43
Step-by-step explanation:
There are some ways to do this, but this is what I like to do. First, since there are 2 people, I divide 80 by 2, which is 40. Now I add 3 to one person and subtract 3 from one person, because the age difference is 6 years, and there are two people (if you divide them you get 3). Now you get the answer; 37 and 43.
Marco picked 8 1/2
pounds of apples at an orchard last weekend. He used
1/4
of the apples to make a pie for a party. Then, he used 3 1/8
pounds of apples to make applesauce. How many pounds of apples does Marco have left?
Answer:
3 1/4 pounds
Step-by-step explanation:
Marco starts with 8 1/2 pounds, to make things easier rewrite it as 8.5.
He uses 1/4 (or .25) of the apples. 8.5 * .25 = 2.125. Subtract this 2.125 from the 8.5 since it's what's being used. 8.5 - 2.125 = 6.375
Then he uses 3 1/8 (or 3.125) pounds. Subtract 3.125 from the 6.375 we got previously to get 3.25.
Marco has 3.25 pounds left which can be rewritten as 3 1/4 pounds.
A teacher is 15 y.o. older than her student. In 15 years, the ratio of their ages will be 3:2. Find their present ages
Answer:
teacher's age: 30
student's age: 15
Step-by-step explanation:
T = 15 + S
from above,
(T+15)/(s+15) = 3/2
by substitution,
(15+S +15)/(S+15) = 3/2
cross multiply,
2(S+30) = 3(S+15)
2S + 60 = 3S + 45
60 = S + 45
s = 15
T = 30
It's not really a specific question, but can someone pleeeeease explain how to do constant of proportionalities from tables! I've watched the khan videos on it, but it's just not clicking for me. Please help!
Answer:
by looking in the copy and learning the tips or step how to do it
Answer:
For example, we could use y = price in dollars, x = gas in gallons, and a constant of proportionality k to represent the amount of money you have to pay at the gas station y = kx. In other words, the price you pay is in direct proportion to the gallons pumped.
Step-by-step explanation:
Hope this helped you understand it better
~Heaven~