it says find the perimeter of the figure below.
Answer:total perimeter =perimeter of rectangle +perimeter of triangle
=2(5+10)+(5+5+7)
=30+17
=47
Step-by-step explanation:
where the area of the base is 6.8\text{ m}^26.8 m 2 and the height of the pyramid is 8.6\text{ m}8.6 m. Round your answer to the nearest tenth of a cubic meter.
r = radius h = height s = slant height V = volume L = lateral surface area B = base surface area A = total surface area π = pi = 3.14159 √ = square root
The Volume of pyramid is 19.5 [tex]m^{3}[/tex].
What is pyramid?A pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apx. Each base edge and apx form a triangle, called a lateral face.
What is volume of pyramid?The volume of a pyramid refers to the space enclosed between its faces.
Volume of pyramid = (1/3) (Base area * height of pyramid )
According to the question
Area of the base = 6.8 [tex]m^{2}[/tex]
Height of the pyramid = 8.6 m
now,
using the formula of Volume of pyramid
Volume of pyramid = (1/3) (Base area * height of pyramid )
substituting the values
Volume of pyramid = (1/3) ( 6.8 * 8.6 )
= 19.49 [tex]m^{3}[/tex]
Rounding off to nearest tenth of a cubic meter
Volume of pyramid = 19.5 [tex]m^{3}[/tex]
Hence, the Volume of pyramid is 19.5 [tex]m^{3}[/tex]
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solve the following equation in substitution method: y=x-2 and x+y=4
Answer:
Step-by-step explanation:
y=x-2
x+(x-2)=4
2x-2=4
2x=6
x=3
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The radius of a circle is 8 units.
What is the diameter of the circle?
units
Answer:
16
Step-by-step explanation:
radius is 1/2 of diameter
Answer:
16 units
Step-by-step explanation:
When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle. That is, the diameter of the inscribed circle is 8 units and therefore the radius is 4 units.
What is the area of a circle if the diameter is 9cm?
Round to the nearest hundredth (0.01cm2)
Answer: A≈63.62
Step-by-step explanation:
9/2= 4.5
A=πr2=π·4.52≈63.61725
Answer:
To find the area of a circle we have [tex]\pir^{2}[/tex] and the radius is half of the diameter so we have 4.5² which gives 16.25π
Which fraction is equal to 36%?
Answer:
[tex] \frac{36}{100} = \frac{9}{25} [/tex]
Step-by-step explanation:
3600%/100% cancel them you will get 36% answer..
Division in a given ratio
In a class of 30 pupils the ratio of the number of boys to the number of girls is 7 : 8. How many girls are there?
Step-by-step explanation:
let the ratio 7:8 be 7x and 8x.
now
7x+8x=30
or, 15x=30
or, x= 30/ 15
or, x= 2
here
no. of boys = 7x= 7*2 = 14
no. of girls= 8x = 8*2= 16
hope this helps u...
Answer:
16 girls
Step-by-step explanation:
sum the parts of the ratio, 7 + 8 = 15 parts
Divide the number of pupils by 15 to find the value of one part of the ratio.
30 ÷ 15 = 2 pupils ← value of 1 part of the ratio, then
8 parts = 8 × 2 = 16 ← number of girls
what is the value of x and y?
Answer:
The right answer is x = 8, y = 40.
Step-by-step explanation:
Since this triangle is isosceles we know that...
∠ACB = ∠ABC
40° = (5x)°
40 = 5x
x = 40 / 5
x = 8
We also know that the sum of all angles inside the triangle is equal to 180°, therefore...
∠BAC = 180° - ∠ACB - ∠ABC
(2y + 20)° = 180° - 40° - 40°
2y + 20 = 100
2y = 100 - 20
2y = 80
y = 80 / 2
y = 40
From this, we know that the right answer is x = 8, y = 40.
Factor the expression 8a + 16c
-2(a - 8)
6(a - 3c)
4c(2a - 4)
8(a + 2c)
Part B
Based on your answer to the previous question, evaluate the expression for a=4 and c= 3.
-30
48
80
8
In the figure above, RT = TU. What is
the value of x ?
A) 72
B) 66
C) 64
D) 58
Answer:
C. 64
Hope that helps you
The value of the angle x is calculated as: ∠x = 64
How to find the value of the missing angle?Let the intersect of line SV and RT be Y
Sides RTU forms a triangle, and the sum of the interior angles of a triangle is 180.
Since RT = TU, ∠TRU = ∠TUR = z
114 + z + z = 180
114 + 2z = 180
2z = 180 - 114
2z = 66
z = 66/2
z = 33
Line STU is a straight line and the angle of a straight line is 180. Thus:
114 + ∠STR = 180
∠STR = 180 - 114
∠STR = 66
Also, sides SYT is forms a triangle and the sum of all interior angles of a triangle is 180. Thus:
66 + 31 + ∠SYT = 180
97 + ∠SYT = 180
∠SYT = 180 - 97
∠SYT = 83
But ∠SYT = angle RYV = 83
sides RYV form a triangle and the sum of all interior angles of a triangle is 180
33 + 83 + ∠x = 180
116 + ∠x = 180
∠x = 180 - 116
∠x = 64
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Work out the area of this circle.
Take it to be 3.142 and write down all the digits given by your calculator.
21 cm
Answer:
If the 21 cm is circumference, the answer would be 35.09.
If the 21 cm is radius, the answer would be 1385.44.
If the 21 cm is diameter, the answer would be 346.36.
A father is 28 years older than his daughter. In six years' time, he will be three times her age. Find their present ages.
Please use an algebraic equation to find the answer and show your working out if possible!!
Answer:
8 and 36
Step-by-step explanation:
let the daughter's age be x then father is x + 28
In 6 years their ages are
x + 6 and x + 28 + 6 = x + 34
Father is 3 times her age , then equation is
x + 34 = 3(x + 6) ← distribute
x + 34 = 3x + 18 ( subtract x from both sides )
34 = 2x + 18 ( subtract 18 from both sides )
16 = 2x ( divide both sides by 2 )
8 = x
Daughter's age is 8 and father's age is 8 + 28 = 36
The sum of 3 times a number and another number is 34. Five times the first number minus the other number is 38. What are the two numbers. The numbers are 3 and 11. The numbers are 9 and 7.
Answer:
3+11+9+7
Step-by-step explanation:
You add all the numbers
Ursula interviewed 75 people to see if they liked reading comic books. 15 of the people surveyed were males. 32 females liked comic books, and nine males liked comic books. What is the conditional frequency that a person does not like comic books given that the person is a male?
Answer:
40% or 0.4 (doesn't matter which you put they're the same)
Step-by-step explanation:
60 female
6/15
How did you compute sums of dollar amounts that were not whole numbers?
Answer:
$7.34
Step-by-step explanation:
To compute sum of dollars that are not whole numbers. Using the sum of$5.89 and$1.45 as an illustration :
$5.89 + $1.45
Taking the whole numbers first:
$5 + $1 = $6
Take the sum of the decimals :
$0.89 + $0.45 = $1.34
Sum initial whole + whole of sum of decimal
$6 + $1 = $7
Remaining decimal : $1.34 - $1 = $0.34
$7 + $0.34 = $7.34
Which of the following statements about the image below is true
Answer:
It is answer 3
Step-by-step explanation:
what is the area of the trapezoid?
Answer:
A=a+b
2h=10+20
2·6=90
Step-by-step explanation:
HAVE A GREAT DAY
Which properties describe the graph of (x + 5)2 + (y – 10)2 < 169?
a. circle with center at (–5, 10), shading inside the circle
b. circle with center at (5, –10), shading inside the circle
c. circle with center at (5, –10), shading outside the circle
d. circle with center at (–5, 10), shading outside the circle
Answer:
a. circle with center at (–5, 10), shading inside the circle
Step-by-step explanation:
I have a quizlet for those towards the end of the course aka Cameron its
HELI KADAKIA to study ofc
The graph of (x + 5)² + (y – 10)² < 169. The circle with centre at (5, –10), shading inside the circle. The correct option is B.
What is a circle?A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The given equation of the graph is f(x + 5)² + (y – 10)² < 169. When we plot the equation we get the circle having an inside shaded part. The coordinates of the circle are (5,-10).
Therefore, the graph of (x + 5)² + (y – 10)² < 169. The circle with centre at (5, –10), shading inside the circle. The correct option is B.
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A group of friends wants to go to the amusement park. They have $243.25 to spend on parking and admission. Parking is $15.75, and tickets cost $22.75 per person, including tax. How many people can go to the amusement park?
Answer: 10 people
Step-by-step explanation:
Parking needs to be paid for but if all friends are going together, they need to only pay once for parking.
The amount spent on just tickets is therefore:
= 243.25 - 15.75
= $227.50.
If $227.50 was for tickets alone, the number of tickets they could buy is:
= Total amount left/ Price of tickets
= 227.50 / 22.75
= 10 people
Your friend uses 2 1/2 ounds of dried fruit and 1/2 pound of raisins to make trail mix.How many 1/2 pound packages can he make.
Answer:
he can make 6 because 2 and 1/2 plus 1/2 = 3 and 3 divided by 2 is 6
Step-by-step explanation:
A taxi hurries for 1 hour 54min with a constant speed of 93km and then for another 5 hours 15min with a constant speed of 72km. What distance did it go
Speed = 93km /h and 72km/h
Answer: The taxi went a distance of 554.7km
Step-by-step explanation:
Speed = Distance / Time
Distance covered in the first trip = Speed x Time
Time = 1 hour 54 min =1+0.9 hours =1.9hours
=93km / h x 1.9 hours =176.7km
Distance covered in the second trip = Speed x Time
Time = 5 hours 15min = 5+0.25hours =5.25hours
=72km / h x 5.25hours =378 km
Total distance =176.7km+378 km
=554.7km
Find the cosine of angle E.
A) 39/80
B) 39/89
C) 80/39
D) 80/89
Answer:
B) 39/89
Step-by-step explanation:
With reference angle E
hypotenuse (h) = 89
base (b) = 39
cosine angle E
= b /h
= 39/89
Ten friends shared a bag of popcorn. Using p to represent the bag of popcorn, which expression represents the amount each friend received? *
1 point
p / 10
10 - p
10p
10 + p
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FIND THE INDICATED MISSING ANGLE MEASURE.
ROUND THE ANGLE MEASURE TO THE NEAREST WHOLE DEGREE.
Answer:
21.801
Good luck
Which data set could be represented by the box plot shown below?
Answer:
The answer is C
Step-by-step explanation:
It starts at 25 and then it stops at 38.
I hope this helps!
Answer:
hi
Step-by-step explanation:
An entrepreneur sold a damage bedspread for $130.50, there by making a loss of 13% on the cost price. Determine the cost price of the bedspread.
Answer:
130.50 X 13% = $16.97
130.50 - 16.97 = 113.53
Answer 113.53
Step-by-step explanation:
At the most recent dance ASB sold 143 tickets and collected $1470 of students sold for $10.00 and teachers tickets sold for $15.00 how many teachers attended the dance
Answer:
8
Step-by-step explanation:
1470 = 10s+15t
143 = s+t
1470 = 10(143-t)+15t
40 = 5t
8 = t
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