Answer:
[tex]\sqrt{5}[/tex]
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]
simplifying
[tex]\sqrt{45}[/tex]
= [tex]\sqrt{9(5)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]
[tex]\sqrt{20}[/tex]
= [tex]\sqrt{4(5)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]
Then
[tex]\sqrt{45}[/tex] - 3[tex]\sqrt{20}[/tex] + 4[tex]\sqrt{5}[/tex]
= 3[tex]\sqrt{5}[/tex] - 3(2[tex]\sqrt{5}[/tex] ) + 4[tex]\sqrt{5}[/tex]
= 3[tex]\sqrt{5}[/tex] - 6[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex]
= [tex]\sqrt{5}[/tex]
The annual fundraising goal of a college is $100,000. so far $58,743 has been raised. how much more money is needed to reach the goal?
Answer:
41,257
Step-by-step explanation:
100,000
-
58,743
-------------
41,257
The amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The annual fundraising goal of a college is $100,000.
Let x be the amount that is needed to reach the goal.
The linear equation in one variable can be framed as follows:
x + 58,743 = 100,000
x = 100,000 - 58,743
x = $41257
Thus, the amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.
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Find the volume of the figure
Answer:
[tex]800\pi yd^3[/tex]
Step-by-step explanation:
[tex]A = 10\pi ^2(8)\\= 800\pi yd^3[/tex]
Answer: 2513.27 yd³
Step-by-step explanation:
Volume of a cylinder:
-> This formula means we are finding the area of the base circle and multiplying it be the height
V = πr²h
V = πr²h
V = π(10)²(8)
V ≈ 2513.27 yd³
The volume of the figure is about 2513.27 yd³.
Which expression could represent the phrase shown? (1 point)
"Subtract 2 from 6, then divide by 3"
Group of answer choices
3 ÷ 6 − 2
3 ÷ (2 − 6)
(2 − 6) ÷ 3
(6 − 2) ÷ 3
Answer:
(6-2)÷3=1
this is the answer
follow me :)))
- 1/2 + (3/4 * 4/9) = ?
Answer:2
Step-by-step explanation:
Find the volume of the sphere. Round your answer to the nearest tenth. A sphere is shown with a diameter of 12 yards. The volume is about cubic yards.
We know:
[tex]{{ \diamond\diamond \quad{ \boxed{ \pink{ \sf{Volume \: of \: Sphere ={ \large{ \frac{4}{3} \pi {r}^{3} }}}}}}} \quad \diamond \diamond}[/tex]
where,
Radius (r) = Diameter/2 = 12/2 = 6 yards. Pi (π) = 22/7[tex] \: [/tex]
[tex]{\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large {\frac{4}{3} \times \frac{22}{7} \times {6}^{3} }}}}}[/tex]
[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{88}{21} \times 6 \times 6 \times 6 }}}}}[/tex]
[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{88}{21} \times 216 }}}}} [/tex]
[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ \frac{19008}{21} }}}}} [/tex]
[tex] {\longrightarrow {\sf{Volume \: of \: Sphere \: = \: { \large{ { \boxed{ \red{ \sf{905.14 {yards}^{3} }}}}}}}}} [/tex]
Thus, The volume of Sphere is 905.14yards³. (Approx.)
Find the volume of this triangular prism. Be sure to include the correct unit in your answer. 7 in 5 in 8 in
What is the surface area of the solid that this net can form? a net has 2 rectangles. one rectangle has a base of 25 millimeters and a height of 21 millimeters. the other rectangle has a base of 41 millimeters and height of 5 millimeters. 730 square millimeters 875 square millimeters 1,000 square millimeters 1,444 square millimeters
The surface area of the solid is the sum of all the net shapes. The surface area of the solid that this net can form is 730mm²
Surface area of a solidThe surface area of the solid is the sum of all the net shapes.
Given the following parameters
The rectangle has a base of 25 millimeters and a height of 21 millimeters will have an area of 525mm²
The other rectangle has a base of 41 millimeters and height of 5 mm has an area of 205mm²
TSA = 525 + 205
TSA = 730mm²
Hence the surface area of the solid that this net can form is 730mm²
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PLASS HELP ITS WORTH 20 points
Answer:
9. 21
10. QP, 8, 18
Step-by-step explanation:
9.
2(4x-65) = 2x-4
6x = 65*2-4 = 126
x = 21
10.
a. QP
b. 8
c. 18
Please help me,Please I have a class in 2 hours Please help me
To find the perimeter of a shape you add all the side lengths together.
Perimeter of A is 20cm because 7+7+3+3=20
Perimeter of B is 27cm because 9+8+10=27
Perimeter of C is 17cm because 6+6+5=17
Perimeter of D is 34cm because 10+10+4+4+3+3=34
On shape E there is one side length that we do not know. To find that do 8-3=5 because 5+3 would be the opposite side of the 8. Now do 5+8+8+4+12+3=40 cm which is the perimeter of shape E.
I hope this helps you have a good day
Which side of a right triangle has the longest length?
Answer:
hypotenuse
Step-by-step explanation:
A hypotenuse is the longest side of a right triangle. It's the side that is opposite to the right angle (90°)
A rectangle has an area of 4y2 – 49 square
units. What are the dimensions of the
rectangle?
Answer:
D. (2y - 7) units by (2y + 7) units
Step-by-step explanation:
[tex]A(rectangle) =4y^2-49[/tex][tex]\implies A(rectangle) =(2y)^2-(7)^2[/tex][tex]\implies A(rectangle) =(2y-7)(2y+7)[/tex]-> D(rectangle) = (2y-7) units by (2y + 7) unitsn (a)–(e), say whether the quantity is changing in a linear or exponential fashion. a. A savings account, which earns no interest, receives a deposit of $723 per month.
Using function concepts, it is found that since the savings account receives no interest, the quantity is changing in a linear fashion.
When is a function changing in linear and in exponential function?If the rate of change is a constant value, the change is linear.If the rate of change involves a proportion or a percentage, the change is exponential.In this problem, the rate of change is a constant of $723 each month, hence the quantity is changing in a linear fashion.
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11. A car can travel 90 miles on 3 gallons of gasoline. How far can it travel on 13 gallons?
Answer:
390 miles
Step-by-step explanation:
90/3 = 30
30x13 = 390
If Dwight Johnson has 7 courses to choose from, how many ways can he arrange his schedule if he must pick 4 of them?
Answer:
35 ways
Step-by-step explanation:
[tex]_7C_4=\frac{7!}{4!(7-4)!}=\frac{7!}{4!*3!}=\frac{7*6*5}{3*2*1}=\frac{210}{6}=35[/tex]
Therefore, Dwight can arrange his schedule in 35 ways if he must pick 4 out of 7 courses to choose from.
Okay so, i need help with this. It’s really important and I need to finish this paper before school tomorrow. Please help i will mark brainliest!!!!!
Answer:
5x^2 - 4x - 3 = 0
Step-by-step explanation:
For the equation
ax^2 + bx + c = 0
the roots are [-b +/- √(b^2 - 4ac)] / 2a
So comparing the terms to the values in the question:
a = 5
b = -4
c = -3
please answer all questios with explanations giving 50 points and brainliest please answer correct too thanks have a bootiful day ;)
Answer:
1. See attached
2. largest value = 3 ³/₄ in
3. smallest value = 1 ¹/₂ in
4. It snowed 3 ¹/₄ inches for 3 days
5. To find the two values, add 3 to the smallest value:
⇒ 1 ¹/₂ + 3 = 4 ¹/₂ in
Or subtract 3 from the largest value:
⇒ 3 ³/₄ - 3 = ³/₄ in
PLEASE HELP!! I WILL MARK BRAINLEST!
Which of the following is the best buy?
4 lb. for $27.60
6 lb. for $41.28
7.5 lb. for $51.63
8 lb. for $55.12
A rhombus, PQRS, has vertices at the points P(6, 2), Q(7,4), R(6, 6) and S(5, 4). PQRS is translated 3 squares left and 2 squares down. The image of PQRS is P'Q'R'S'. Work out the coordinates of the vertices of P'Q'R'S'.
Answer:
P': (3, 0)
Q': (4, 2)
R': (3, 4)
S': (2, 2)
Step-by-step explanation:
A rhombus, PQRS, has vertices at the points P(6, 2), Q(7, 4), R(6, 6) and S(5, 4). PQRS is translated 3 squares left and 2 squares down.
Rule: (x - 3, y - 2)
1. Using the given rule, find the new coordinates of the new image:
P': (6, 2) ➺ (6 - 3, 2 - 2) ➺ (3, 0)
Q': (7, 4) ➺ (7 - 3, 4 - 2) ➺ (4, 2)
R': (6, 6) ➺ (6 - 3, 6 - 2) ➺ (3, 4)
S': (5, 4) ➺ (5 - 3, 4 - 2) ➺ (2, 2)
New coordinates:
P': (3, 0)
Q': (4, 2)
R': (3, 4)
S': (2, 2)
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Find the volume of this cone round your answer to the nearest whole number use 3.14 for pi diameter = 5 mm, height = 6 mm
Answer:
Answer = 39.25 or 39 if rounded to the nearest whole number
Step-by-step explanation:
The formula for finding the volume of a cone is h(pi)(r^2)/3. We know that the height is 6 and the diameter is 5. Since we know the diameter we know that the radius is 2.5 since it is one half of the diameter. Now that he know the radius and height we can plug the values into the equation to get V=39.25
Hope that helps! :)
SOMEBODY PLEASE HELP ME
Answer:
Step-by-step explanation:
What's the circumference of a circle with a diameter of 9 inches?
Use 3.14 for π.
C = [?] inches
Enter the number that belongs in the green box. Do not round your answer.
Hint: C = πd
Answer:
C = 28.26 in
Step-by-step explanation:
the circumference (C) is calculated as
C = πd ( d is the diameter ) , then
C = 3.14 × 9 = 28.26 in
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What's the circumference of a circle with a diameter of 9 inches?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
We are asked to find the circumference of a circle, which we can find using the following formula:-
[tex]\bold{Circumference{(circle)}=\pi d}[/tex]
Where:-π=pi [3.14…]d=diameter (9 inches)How to solve for circumference:-
Replace d with 9 and multiply:-
[tex]\hookrightarrow\sf{C=3.14\times9}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\hookrightarrow\sf{C=28.26\:inches}[/tex]
Notice that we are not asked to round our answer, so we leave it like that - C=28.26.
Good luck with your studies.
[tex]\rule{200}{2}[/tex]
A person can read 24 pages of a book in 1/3 of an hour. What is this person's reading rate in pages per hour?
72
48
12
8
An empty lorry weighs 3500kg. It weighs 7250 kg when loaded with 50 bags of coffee .What is the average mass of each bag ?
Answer:
The average mass of one coffee bag is 75kg.
Step-by-step explanation:
The lorry on its own weighs 3500kg.
If it weighs 7250kg alongside coffee bags, we can make the assumption that to find the total mass of the coffee bags, we must take the combined total and subtract the lorry's weight from it.
7250kg subtract 3500kg is 3750kg.
There are 50 coffee bags, so this is the mass of all 50.
If we want to find the mass of one coffee bag, we have to divide the mass of 50 coffee bags by 50.
3750kg divided by 50 is 75kg.
The average mass of one coffee bag is 75kg.
in 130426 the digit 2 is in the ____ place?
Answer:
A Tens place.
Step-by-step explanation:
last 2 digits are twenty six.
Reciprocal of 1/y where y not equals to 0
Answer:
y (y/1)
Step-by-step explanation:
the reciprocal of a number is basically what it needs to multiply to to equal to one
so basically you flip the numbers
1/y s reciprocal would be y/1 which is also just y
Answer: y
Step-by-step explanation:
I need help! Find the measure of all sides. Round to the nearest tenth.
Answer:
BA=15
CA=15/2=7.5
[tex] cb \:= \frac{15 \sqrt{3}} {2} = 13[/tex]
There are 2022 kangaroos and some koalas living across seven parks. in each park the number of kangaroos is equal to the number of koalas in all the other parks. how many koalas live in the seven parks in total
Answer:
337
Step-by-step explanation:
I remember this from UKMT maths challenge.
Let the number of kangaroos in each of the seven parks be , , , , , and with the
corresponding number of koalas being , , , , , and . The question tells us that the
number of kangaroos in any park is equal to the sum of the numbers of koalas in the other six
parks. Therefore we have
= + + + + + ,
= + + + + + ,
= + + + + + ,
= + + + + + ,
= + + + + + ,
= + + + + + ,
= + + + + + .
Adding these equations, we obtain
+ + + + + + = 6( + + + + + + ).
The total number of kangaroos in the seven parks is 2022. Hence
+ + + + + + = 2022.
Therefore
2022 = 6( + + + + + + )
and hence the total number of koalas in the seven parks is
+ + + + + + = 2022 ÷ 6 = 337.
the fully simplified form of 2ab÷(8a) is:
A) [tex]\frac{2ab}{8a}[/tex] B) [tex]\frac{4}{b}[/tex] C) [tex]\frac{b}{4}[/tex] D) 4b E) 4a
Answer:
b/4
Step-by-step explanation:
After rewriting the quotient as a fraction,
[tex]\dfrac{2ab}{8a}[/tex]
We can look for common factors to reduce it. 8a and 2a both have the common factor 2a, and since 2a = 1 · 2a and 8a = 4 · 2a, we can reduce our fraction down to
[tex]\dfrac{1\cdot2a\cdot b}{4\cdot2a}=\dfrac{1\cdot b}{4}=b/4[/tex]
please help! question in the picture. thank you!!!
Answer:
3 timesV = 1/3BhStep-by-step explanation:
A prism has a uniform cross-section equal in area to its base area. The volume of a prism is the product of this cross-section area and the length between the parallel bases.
__
A pyramid or cone has a cross section whose linear dimension is directly proportional to the distance from the peak. The volume is 1/3 of the product of the base area and the height.
V = (1/3)Bh . . . . . formula for volume of a pyramid
__
Since the pyramid volume is 1/3 that of a prism with the same overall dimensions, the prism has 3 times the volume of the pyramid.
somebody please help me
Answer:
is the answer 2 3/4
Step-by-step explanation: