Answer:
The distributive property says that when there is a number outside of parenthesis, this means it should be distributed (or multiplied) to the values inside the parenthesis.
So in this situation, 10 x b = 10b
and 10 x 4c = 40 c
so 10(b + 4c) becomes 10b + 40c once the 10 is distributed within the parenthesis.
I hope this helps!
Answer:
They are equivalent expressions because if you use distributive property and multiply 10*b, then multiply 10*4c, you get 10b+40c
Step-by-step explanation:
help plz asap!!!!!!!!!
Answer:
a. 7(5 + 1/7) = 35 + 1 = 36
b. 5(4 + 7) = 20 + 7
c. 1/7(28 + 84) = 4 + 12 = 16
I hope this helps! :)
from a boat on the lake, the angle of elevation to the top of a cliff is 16°38'. if the base of the cliff is 1250 feet from the boat, how high is the cliff?
Check the picture below.
make sure your calculator is in Degree mode.
recall that there are 60 minutes in 1 degree.
Does this make sense?
0.88 is greater because after decimal point the hundreds place is eight in 0.88
It depends. Greater than what?
Not really, the hundredths place won't determine which number is larger, usually the largest place will do, which here is the tenth place.
1/4 = 0.25
0.88 > 0.25 because 0.8 > 0.2.
the sides of 2 similar hexagons are in a ratio of 1:3. The area of the smaller hexagon is 12in². Find the area of the larger hexagon
Answer:
374.12
Step-by-step explanation:
A=33
2a2=3·3
2·122≈374.12297
To solve this problem, we will use the fact that if two polygons are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides.
Let's start by identifying the given information:
1. The ratio of the sides of the two similar hexagons is 1:3.
2. The area of the smaller hexagon is 12 square inches.
We are asked to find the area of the larger hexagon.
Now, since the ratio of the sides of the two hexagons is 1:3, the square of this ratio will tell us the ratio of the areas of the two hexagons. So we must square the side ratio to get the area ratio:
Ratio of sides of hexagons = 1 : 3
Ratio of areas of hexagons = (1^2) : (3^2) = 1 : 9
This means that the area of the larger hexagon is 9 times larger than the area of the smaller hexagon. Now we can find the area of the larger hexagon by multiplying the area of the smaller hexagon by 9:
Area of larger hexagon = Area of smaller hexagon * 9
= 12 in² * 9
= 108 in²
Therefore, the area of the larger hexagon is 108 square inches.
Four expressions are shown bellow
A. 2(4x + 2)
B. 2(3x + 3)
C. 6x + 6
D. 8x + 4
Which two expressions are equivalent to 2(3x + 2 + x)?
Answer:
A
[tex]2(4x + 2)[/tex]
and
D
[tex]8x + 4[/tex]
Step-by-step explanation:
Because if you simplify the equation theb you get 8x+4 therefore D is equivalent to it. A is also equal to D which make it equivalent to the equation as well.
Answer:
A and D
Explanation:
A. 2 multiply by 4x give 8x and 2 multiply by 2 give 4 so the answer is 8x+4
D. When we expand the bracket, 2 multiply by 3x give 6x and 2 multiply by 2 give 4 and 2 multiply by x give 2x so the answer will be 6x+4+2x and we will gather the like terms so it will be 6x+2x=8x so the final answer is 8x+4
For the inverse variation equation p=8/v what is the value of v when p=1/2
The value of V is 16.
V=16
Explanation
Answer: v=16
Step-by-step explanation:
Given: The inverse variation equation :
[tex]p=\dfrac{8}{v}[/tex]
To find the value of v when p = 1/2, replace the value of p by 1/3 in the above inverse equation, we get
[tex]\dfrac{1}{2}=\dfrac{8}{v}[/tex]
Multiply 2v on both the sides , we get
[tex]\dfrac{1}{2}\times2v=\dfrac{8}{v}\times2v\\\\\Rightarrow\ v=16[/tex]
Hence, the the value of v =16.
Point A, locayed at (-2, 4), is translated down 6 units. What are the coordinates of A
Answer:
(-2,-2)
Step-by-step explanation:
you would be going down the cooridante plane so that would only change the y value.
Describe the end behavior of f(x) = 1/3^x-5. [note: this is an exponential function where 1/3 is the base and x is the exponent.]
( answer choices are above, please only answer if you know I really need help and I can’t retake it) Thank you and if it’s correct I promise to mark brainlest!!!
Answer:
c
Step-by-step explanation:
The area of a trapezoid is 30 square centimeters. The height is 4 centimeters. The shorter base measures 6 centimeters. What is the measure of the longer base?
Answer:
The other base would be 9 centimeters.
Step-by-step explanation:
This is because the formula for the area of a trapezoid is base+the other base/2 x height. if you have two of the three values and the answer all you have to do is put in numbers for the third value until it equals the area you were given.
What is the area of the obtuse triangle given below?
It's 49 sq. units because of the formula:
Area of triangle = 1/2 base × perpendicular height
Area = 14/2 × 7
Area = 7 × 7
= 49 sq. units
The area of the obtuse triangle is 49 sq. units.
What is the area of the obtuse triangle?Given:
The base of the obtuse triangle is 14 units.The height of the obtuse triangle is 7 units.Find:
The area of the obtuse triangle.Solution:
As we know that the area of an obtuse triangle is equal to 1/2 * base * height.
So, as base and height of the obtuse triangle is given.
Now, we will calculate the area.
Area of the obtuse triangle = 1/2 * base * height
= 1/2 * 14 * 7
= 49 sq. units.
Hence, the area of the obtuse triangle is 49 sq units.
Therefore, Option A is the correct answer.
To learn more about an obtuse triangle, refer to:
https://brainly.com/question/12453859
#SPJ2
Geometry semester 2 ; what’s the surface area of the regular pyramid below ?
Answer:
The correct answer is option B. 756 units²
Step-by-step explanation:
Points to remember
Surface area of pyramid = Base area + (4 * area of side triangle)
To find the base area
Base area = side * side
= 14 * 14 = 196 units²
To find the area of side triangle
Area of triangle = bh/d
Area = (14 * 20)/2 = 140 units²
To find the surface area of pyramid
Surface area = Base area + (4 * area of side triangle)
= 196 + (4 * 140)
= 756 units²
Answer: 756
Step-by-step explanation:
Donald has xxx twenty-dollar bills and 111 ten-dollar bill.
How much money does Donald have?
The expression representing the total amount of money Donald has is:
[tex]\[ \text{Total money} = 20x + 1110 \][/tex]
To find the total amount of money Donald has, we need to calculate the sum of the value of all the bills.
The value of each twenty-dollar bill is $20, and the value of each ten-dollar bill is $10.
Let's represent the number of twenty-dollar bills as x and the number of ten-dollar bills as 111.
So, the total amount of money Donald has can be expressed as:
[tex]\[ \text{Total money} = \text{Value of twenty-dollar bills} + \text{Value of ten-dollar bills} \]\[ \text{Total money} = 20x + 10(111) \][/tex]
Would a scatter plot of the side length and perimeter of the side length and area represent a linear relationship?
Yes it would be because the perimeter is the out side and the area.is inside
Your friend George is 6 feet tall and his shadow is 10 feet long. At the same time, the shadow of the flagpole was 85 feet long. What is the height of a flagpole?
1.4 feet
60 feet
51 feet
141.6 feet
Answer:
51 feet
Step-by-step explanation:
Let
x -----> the height of a flagpole
we know that
Using proportion
[tex]\frac{6}{10}=\frac{x}{85} \\\\x=6*85/10\\\\x=51\ ft[/tex]
How would I find the square root of 49531.25 without a calculator?
That’s a good question for google haha
well, without a calculator, what you can do is
round each choice to a "metric" value, namely 312.5 use 310, and then you can simply multiply it manually 310*310, which is 96100, well, that's too large, so nope.
don't bother with 323.4 because that's even larger.
likewise, check 239.3 with say 230 * 230, to see if it's close enough.
then check 222.5 with 220*220.
Can someone please help me out on this question
Answer:
The y-intercept occurs when x = 0.
So, when x = 0 , y = 4.
answer is A
Step-by-step explanation:
What is the value of 3 1/3 ÷ 2/3
Answer:
5
3 1/3 / 2/3 = 5
Answer:
5
Step-by-step explanation:
"What is the value of 3 1/3 ÷ 2/3"
3 1/3= 10/3
10/3 / 2/3 = 5/1=
5
What is the perimeter of the figure?
180 in.
64 in.
65 in.
72 in.
the perimeter is adding all the lenghts. the answer that i got isn't in there since i got 118 if you add all of them. hopefully that helped
Answer:
180
Step-by-step explanation:
i just did 18x10
plsss help will give brainliest
Answer:
C, A, B, D
Hope This Helps! Have A Nice Day!!
Number 9 is scalene
Number 10 is equilateral
Sorry I can’t help you on the other two I see.
Which linear inequality is represented by the graph
Answer:
[tex]y\leq \frac{1}{2} x+2[/tex]
Step-by-step explanation:
Firstly, as seen in the graph, the shaded area is below the graph. This means that [tex]y \leq[/tex]
Next we can look at the slope. It is seen that m=[tex]\frac{1}{2}[/tex]
From these two observations, the only inequality that fits the critera is
[tex]y\leq \frac{1}{2} x+2[/tex]
Answer:
Option A
Step-by-step explanation:
(1) In the given graph a solid line has been given which represent the sign of inequality between two variables.
(2) Moreover this, a should area has been given below the solid line. which represents the sign of "less than" between the variables.
In total between y and x there should be a sign of (≤)
(3) Now this line passes through two points (0,2) and (-4,0) so slope of the line will be = [tex]\frac{y-y'}{x-x'}[/tex]
Therefore, slope =[tex]\frac{2-0}{0+4}=\frac{1}{2}[/tex]
y-intercept of the line has been given as 2
So inequality for this graph will be
y ≤ [tex]\frac{1}{2}[/tex]x + 2
Option A is the answer.
Point O is the center of the circle.
what is the area of the shaded portion of the circle
The area of the shaded portion of the circle is option G. 28.5cm²
How did we get the value?
To find the shaded area of a circle, you need to know the radius of the circle and the central angle of the sector that forms the shaded region. The formula for the area of a sector (a portion of a circle) is given by:
[tex]\[ \text{Area of Sector} = \left( \frac{\text{Central Angle}}{360^\circ} \right) \times \pi r^2 \][/tex]
where:
- [tex]\( \text{Central Angle} \)[/tex] is the measure of the angle at the center of the circle (in degrees),
- [tex]\( \pi \)[/tex] is a mathematical constant approximately equal to 3.14159, and
- [tex]\( r \)[/tex] is the radius of the circle.
If the shaded region is not a complete sector but a segment (a portion of the circle bounded by a chord and an arc), you may need to subtract the area of the triangle formed by the radius and the two radii extending to the endpoints of the chord. The formula for the area of the segment is then:
[tex]\[ \text{Area of Segment} = \text{Area of Sector} - \text{Area of Triangle} \][/tex]
One can find the shaded area by:
1. Determine the radius [tex](\( r \))[/tex] of the circle.
2. Find the measure of the central angle [tex](\( \text{Central Angle} \))[/tex] of the sector or segment.
3. Apply the formula to calculate the area of the sector [tex](\( \text{Area of Sector} \))[/tex].
4. If it's a segment, find the area of the triangle formed by the radii and the chord and subtract it from the area of the sector.
[tex]\[ \text{Area of Quarter Circle} = \frac{1}{4} \times \pi r^2 \][/tex]
Given that the radius [tex](\( r \))[/tex] is 10, you can substitute this value into the formula:
[tex]\[ \text{Area of Quarter Circle} = \frac{1}{4} \times \pi \times (10)^2 \][/tex]
Let's calculate this:
[tex]\[ \text{Area of Quarter Circle} = \frac{1}{4} \times \pi \times 100 \][/tex]
[tex]\[ \text{Area of Quarter Circle} = \frac{1}{4} \times 100 \pi \][/tex]
[tex]\[ \text{Area of Quarter Circle} = 25 \pi \][/tex]
1/2 × 10 × 10 = 50cm²
25π - 50 = 25 × 3.14 - 50
= 78.5 - 50
= 28.5cm²
the vertex of this parabola is at (-3,2). which of the following could be its equation?
Answer:
B
Step-by-step explanation:
Notice that the vertex is 2 units above the x-axis. The equation of this parabola must end in +2 to reflect this fact. Thus, we narrow down our answer choices to B and C.
(x + 3) in choice B is correct, since the vertex is to the left of the y-axis.
Given ABCD, AC=38, and AE=3x+4, find the value of x
ANSWER
D 5
EXPLANATION
The diagonals bisect each other so,
AE=CE
This implies that
3x+4+3x+4=38
6x+8=38
Group similar terms
6x=38-8
6x=30
x=5
Answer: 5
Step-by-step explanation:
What is the area of triangle TUV?
A.
3 square units
B.
5.25 square units
C.
7 square units
D.
20.5 square units
E.
35 square units
The area of a triangle is 1/2*base*height and in this case it would be 1/2*7*1.5 which is B. 5.25 square units
Answer:
Yes it's B. 5.25
A=hbb
2=1.5·7
2=5.25
Step-by-step explanation:
The ratio of boys to girls in a room is 6:5. If three boys leave the room, the ratio is 1:1. How many girls are in the room?
Answer:
If the current price of $\$30$ is after a $50\%$ reduction, then the Lux basketball shoes must have been $30 \times 2 = \$60$ before. That $\$60$ price was after a $25\%$ reduction. When $25\%$ of the price is removed, the remaining portion is $75\%$, or $3/4$ of the price, which means the original price must have been $\$60 \times 4/3 = \boxed{\$80}$.
Working together, Joy and Steve collected 39 pounds of aluminum cans for recycling. If Joy collected j pounds, which of the following shows the number of pounds collected by Steve?
Answer:
The number of pounds collected by Steve is [tex]39-j[/tex]
Step-by-step explanation:
Let
j----> the number of pounds collected by Joy
s ---> the number of pounds collected by Steve
we know that
[tex]j+s=39[/tex]
Solve for s
That means-----> Isolate the variable s
Subtract j both sides
[tex]s=39-j[/tex]
128.75+_______=143.62
Answer:
14.87
143.62
- 128.75
________
14.87
I need your help please because I do not understand that I have to find the diameter and the radius of a circle 3.14 • 1.5 • 1.5
2) 3.14 • 1.5 • 1.5
3) 3.14• 1•1
4) 3.14•6•6
5)3.14•2•2
6)3.14•1.5.1.5
And the other is the area 3.14•3
2) 3.14•1.25
3) 3.14•2
4) 3.14•12
5) 3.14•4
6) 3.14•3
Pleaseeeeeeeseeeeee
Answer:
Step-by-step explanation:
If you are given 3.14 · 1.5 · 1.5, you actually have 3.14 · 1.5²
If you match this up to the area-of-a-circle formula A = πr²
you can see right away that r = 1.5. If r = 1.5, d = 2(1.5) = 3.0
I do not quite understand what you were trying to present in your
"And the other is the area 3.14•3
2) 3.14•1.25" so am unable to help you with it.
To find the diameter and radius of a circle, divide the given circumference by 3.14 to find the diameter, and then divide the diameter by 2 to find the radius. To calculate the area, use the formula A = πr², where π is approximately 3.14 and r is the radius of the circle.
Explanation:To find the diameter and radius of a circle, we need to understand the formulas and calculations involved. The diameter is the distance across the circle passing through the center, and it is twice the length of the radius. The radius is the distance from the center of the circle to any point on its edge.
Finding the Diameter and Radius:
To find the diameter, you need to divide the given circumference by 3.14. For example, to find the diameter of 3.14 • 1.5 • 1.5, you would divide this value by 3.14. To find the radius, you divide the diameter by 2. For example, if the diameter is 6, then the radius is half of that, which is 3.So, depending on the given values, you can use the formulas mentioned above to solve for the diameter and radius of a circle.
Calculating the Area:
To calculate the area of a circle, you need to use the formula A = πr², where π is approximately 3.14 and r is the radius of the circle. Substitute the given value of the radius into the formula and solve for the area. For example, if the radius is 3, then the area would be 3.14 • 3².Using the formulas and steps above, you can find the diameter, radius, and area of a circle based on the given values.
the baseball coach has 108 baseballs to share equally among 8 players. how many baseballs will be left over
Answer:
4 balls
Step-by-step explanation:
108/8=13.5 or 13 R 4
For this case we must divide the number of baseballs among the number of players. Let "x" be the variable that represents the amount of baseballs that each player has to play. So:
[tex]x = \frac {108} {8}\\x = 13.5[/tex]
Rounding down, [tex]x = 13.[/tex]
Each player gets 13 baseballs. Then there are:
[tex]108-13 * 8 = 108-104 = 4[/tex] baseballs
Answer:
4 baseballs
At a pizza restaurant a large cheese pizza cost $8.99 plus $1.25 per topping if Laura paid $13.99 for a large pizza before taxes how many toppings did Laura put on her pizza
Answer:
4 toppings
Step-by-step explanation:
13.99-8.99=5
5÷1.25= 4
Laura put 4 toppings on her pizza.
The answer would be 4 toppings.
First you must subtract $13.99 by $8.99 which gives you $5. Then you divide that by the price of a topping which is $1.25. When you divide you get 4.
Hope this helps