Answers
Answer:
Area = 202 in^2
Step-by-step explanation:
Divide those into pieces to solve for each area and then add the area together.
Left Rectangle:
13 in * 4 in = 52 in^2
Right Rectangle:
15 in * 10 in = 150 in^2
Total Area = 117 in^2 + 150 in^2 = 202 in^2
Related Questions
Factor the polynomials completely, then solve 48x² - 75 = 0
Answers
Answer:
[tex]x=\frac{5}{4} \text { or } x=-\frac{5}{4}[/tex]
Step-by-step explanation:
48 = 3 × 16
75 = 3 × 25
_________
Then, a Complete factorization of 48x² - 75 is :
[tex]\begin{aligned}48 x^{2}-75 &=3 \times\left(16 x^{2}\right)-3 \times(25) \\&=3 \times\left(16 x^{2}-25\right)\end{aligned}[/tex]
_____________________
Now let’s solve our equation 48x² - 75 = 0
48x² - 75 = 0 means 3 × (16x² − 25) = 0 means 16x² − 25 = 0
[tex]\begin{array}{l}16 x^{2}-25=0 \\\\\Leftrightarrow 16 x^{2}=25 \\\\\Leftrightarrow x^{2}=\frac{25}{16} \\\\\Leftrightarrow x=\sqrt{\frac{25}{16}} \text { or } x=-\sqrt{\frac{25}{16}} \\\\\Leftrightarrow x=\frac{5}{4} \text { or } x=-\frac{5}{4}\end{array}[/tex]
Find the slope of the line that is parallel and perpendicular to the following equation.
2x-2y=-6
Answers
Answer:
Parallel lines 1
perpendicular lines -1
Step-by-step explanation:
2x-2y = -6
Solve for y to get it in slope intercept form
-2y = -2x-6
Divide by -2
y = x+3
This is slope intercept form y = mx+b where m is the slope
Parallel lines have the same slope
A parallel line would have a slope of 1
Perpendicular lines would have a slope that is a negative reciprocal
-1/1
Perpendicular lines would have a slope of -1
Let us first put it into slope-intercept form ⇒ [tex]y = mx + b[/tex]
m: slopeb: y-intercept of the functionTo put it into that format, we need to simply put y on one side of the equation and the rest on the other side
[tex]2x - 2y =-6\\-2y = -2x -6\\y = x +3[/tex]
What do we want to find first ⇒ a line parallel to the original line
a line that is parallel to the original line only has one requirement, it must have the same slope, such as the one below[tex]y = x +5[/tex]
What do we also want to find ⇒ a line perpendicular to the original line
a line that is perpendicular to the original line only has one requirement, the slope has to be the negative reciprocal of the original slope⇒ original slope is 1 ⇒ negative reciprocal is - 1/1 = -1
⇒ so an example is
[tex]y = -x + 3[/tex]
Answer:
Line that is parallel: slope is 1Line that is perpendicular: slope is -1Hope that helps!
A person invests 6000 dollars in a bank. The bank pays 5.75% interest compounded daily. To the , how long must the person leave the money in the bank until it reaches 11600 dollars?
Answers
Answer:
x=11.5
Step-by-step explanation:
A bag of marbles has 3 red and 6 green marbles. What is the probability of selecting two red with replacement?
Answers
Answer:
1/9
Step-by-step explanation:
With replacement, we use the principle of multiplication with counting.
[tex]\frac{3redballs}{9total balls} * \frac{3redballs}{9total balls} = \frac{1}{3}* \frac{1}{3} = \frac{1}{9}[/tex]
The probability of selecting two red marbles with replacement is 1/9.
What is probability?Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to occur.
If we select a marble at random from the bag, there are 3 red marbles out of 9 total marbles. After replacing the marble back in the bag, the probability of selecting another red marble is still 3/9 (assuming the first marble selected was red).
To find the probability of selecting two red marbles with replacement, we need to multiply the probabilities of each event happening.
Therefore, the probability of selecting two red marbles with replacement can be calculated as follows:
P(selecting two red marbles with replacement) = P(selecting a red marble) x P(selecting a red marble given that the first marble was red)
P(selecting two red marbles with replacement) = (3/9) x (3/9)
P(selecting two red marbles with replacement) = 1/9
Therefore, the probability of selecting two red marbles with replacement is 1/9.
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The sum of two numbers is 37 the larger number is 21 more than the smaller number what are the numbers
Answers
The sum of two numbers is 37:
This would look like-
a + b = 37
Then the next part
The larger number to 21 more than the smaller number.
So, that would mean that a (let’s say that’s the bigger number) would be 21 more than the smaller number (b).
This would mean:
a = 21 + b.
Now that we know what a is, we can replace it in the equation.
(21 + b) + b = 37
I’m not sure whether you should solve it further or just keep the equation as it is.
If you want me to tell you how to solve the equation just reply in the comments! But i’m sure you can figure it out :)
Answer: a= 24 , B is 13
Step-by-step explanation:
A + B = 37
A = B +21
5.5 - Solving Quadratic Equations - Perfect Square Trinomials and Difference of Squares
Factor the following if they are a perfect square trinomial or a difference of squares.
a) x^2 + 24x + 144 = 0
b) 9x^2 - 36x + 36 = 0
c) x^2 - 64 = 0
d) 4x^2 - 81 = 0
Answers
Answer:
Step-by-step explanation:
(a²-2ab+b²)=(a-b)²
a²+2ab+b²=(a+b)²
i solve b and d
(b)
9x²-36x+36=0
(3x)²+2×3x×-6+(-6)²=(3x-6)²
(d)
a²-b²=(a+b)(a-b)
4x²-81=0
4x²-81=(2x)²-9²=(2x+9)(2x-9)
What number should be subtracted from (3/4+-1/3) to get 1/4
Answers
Answer:
5/6
Step-by-step explanation:
( 3/4+1/3) = 3 × 3/ 4 × 3 + 1 × 4/ 3 × 4 = 9/12 + 4/12 = 9+4/ 12 = 13/ 12 = 1 1/12
13/ 12 - 1/ 4 = 13/ 12 - 1 × 3/ 4 × 3 = 13/ 12 - 3 / 12 = 13 - 3 / 12 = 10 / 12 = 10 ÷ 2 / 12 ÷ 2 = 5/6
13/ 12 - 5/ 6 = 13/ 12 - 5 × 2/ 6 × 2 = 13/ 12 - 10/ 12 = 13 - 10/ 12 = 3/ 12 = 3 ÷ 3/ 12 ÷ 3 = 1/4
HELPP!!!! Tyrell is working on the middle school yearbook. He wants to fit a 4×6 inch photo into a space that is 3 inches wide. At what percent should he set the copier zoom button to achieve this size?
Answers
Answer:
50%
Step-by-step explanation:
Step one:
By convention, the dimension of a shape is described as
Lenght first, followed by width
Hence
lenght = 4 in
Width = 6 in
Step two:
Therefore, to achieve a new width of 3 in, the initial width must be divided by 2, which is a 50% reduction.
3/6*100
0.5*100
=50%
Answer:its 75 percent
Step-by-step explanation:
Henry sang 12 songs every song was 3/8 minutes long. For how much time did he sing in total?
Answers
Answer:
4.5 minutes or 36/8 minutes or 9/2 minutes
Step-by-step explanation:
So we simply find 3/8 of 12 by multiplying:
[tex]\frac{3}8} \times 12[/tex]
This gives us 36/ 8
Now, depending on how you want your answer formulated, we just reduce it to either 9/2 minutes, or 4.5 minutes.
Hope this helpss!!!
Find the missing angle
Answers
Step-by-step explanation:
a + 156° = 180° ( supplementary angle )
a = 180° - 156°
a = 24°
180-156 is a. This is because a plus 156 is 180.
So answer for a is 24. This makes sense since 156 is about 6.5 times bigger than a.
Please mark as best!
What is:
4m+3−2m
PS: This is a quick question/giveaway
Answers
Answer:
4m -2m + 3
2m + 3
is the answer
Answer:
[tex]\boxed{\sf{2m+3}}[/tex]Step-by-step explanation:
Solve the problem by combining like terms.
Distribute the terms accordingly.
Distributive property:
⇒ A(B+C)=AB+AC
4m+3-2mFirst, combine like terms.
→ 4m-2m+3
Solve.
Add the numbers from left to right.
→ 4m-2m=2m
Rewrite the problem down.
→ 2m+3
Therefore, the final answer is 2m+3.I hope this helps you! Let me know if my answer is wrong or not.
????!!!!??!!?!!?!!?!!?!!!!?!!!!
Answers
Answer:
A.Step-by-step explanation:
if both increases the volume also increase as the same i.e.
twice length and twice radius = twice the volume of wax
MARK ME AS BRAINLISTSolve for the unknown angle measure θ.
A. θ=112.5
B. θ=120
C. θ=144
D. θ=150
Answers
In the given polygon-
>>Two of the angles are of 90⁰
The sum of all angle in n-sided polygon is given by -
[tex]\green{ \underline { \boxed{ \sf{(n-2)\times180}}}}[/tex]
Here number of sides,n = 8
So ,the sum of all angle = [tex]\sf (8-2)\times 180[/tex]
[tex]\sf \implies 6 \times 180[/tex]
[tex]\sf \implies 1080 \degree[/tex]
>>Since two of the angles are of 90⁰ ,let's subtract them from total angle sum to get angles in term of [tex]\theta[/tex] only.
[tex]\implies \sf 1080- 2\times 90[/tex]
[tex]\implies \sf 1080- 180[/tex]
[tex]\implies \sf 900 \degree [/tex]
Now, Sum of remaining 6 angles = 6[tex]\theta[/tex]
Also, 6[tex]\theta[/tex] = 900⁰
[tex]\theta = \dfrac{900}{6}[/tex]
[tex]\theta = 150 \degree[/tex]
Answer:
heya ^^
let's first see what the question says -
so , we're given an octagon and the figure states that two of the angles of the octagon are of measure 90°.
while , rest of the angles have been named [tex] \bold{\theta }[/tex] and this thing clears that all the other angles are of equal measure.
now , angle sum property of octagon states that the sum of all the angles of an octagon equals 1080.
therefore ,
[tex]\bold{90 \degree + 90 \degree + \theta+ \theta+ \theta+ \theta+ \theta+ \theta = 1080 \degree }\\ \\ 180\degree + 6\theta = 1080\degree \\ \\ 6\theta = 1080\degree - 180\degree \\ \\ 6\theta = 900\degree \\ \\ \theta = \frac{900}{6} \\ \\ \underline\bold\pink{\: \theta = 150\degree}[/tex]
therefore ,
option ( D ) θ=150 is correct.
hope helpful :D
Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6} as
R = {(a, b): b = a + 1} is reflexive, symmetric or transitive.
Answers
Answer:
The answer is R is neither reflexive, nor symmetric, nor
transitive.
Step-by-step explanation:
Let A = {1, 2, 3, 4, 5, 6}.
A relation R is defined on set A as:
R = {(a, b): b = a + 1}
R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)}
We can find (a, a) ∉ R, where a ∈ A.
For instance,
(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) ∉ R
R is not reflexive.
It can be observed that (1, 2) ∈ R, but (2, 1) ∉ R.
R is not symmetric.
Now, (1, 2), (2, 3) ∈ R
But, (1, 3) ∉ R
R is not transitive
Thus, R is neither reflexive, nor symmetric, nor transitive.
There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 1 blues?
Answers
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
As you can see, there are 3 blue marbles, and the amount in total is 12, so the answer is 3/12. 3/12 simplified is 1/4.
Hope This Helps! :) Please give brainliest if you can!
The circular base of a table lamp has a radius of 9 centimeters. What is the base’s circumference ?
(Use 3.14 for pi)
Answers
Answer:
56.52 cm
Step-by-step explanation:
Since the circular base has radius of 9 cm. Therefore the base’s circumference is:
[tex]\displaystyle \large{C=2\pi r}[/tex] where r is radius and C is circumference.
Input r = 9 in:
[tex]\displaystyle \large{C=2\pi \cdot 9}\\\displaystyle \large{C=18\pi}[/tex]
Since π is given to be 3.14:
[tex]\displaystyle \large{C=18\cdot 3.14}\\\displaystyle \large{C=56.52}[/tex]
Therefore, the base’s circumference is 56.52 cm
Answer:
Circumference of base is 56.52 cmStep-by-step explanation:
In this question we have given that radius of circular base of table lamp is 9 cm . And we are asked to find the circumference of base that means we have to find the circumference of circle .
We know that :
[tex]\qquad\underline{\boxed{\frak{{Circumference_{(Circle)} = 2\pi r }}}}[/tex]
Where ,
π refers to 3.14 r refers to radius of circleSolution : -
Now we are finding the circumference of circle by putting value of radius as 9 and value of π as 3.14 in the formula .
[tex] \longrightarrow \qquad \: 2 \times 3.14 \times 9[/tex]
[tex] \longrightarrow \qquad \:6.28 \times 9[/tex]
[tex] \longrightarrow \qquad \: \orange{\underline{\boxed{\frak{56.52 \: cm}}}}[/tex]
Therefore , circumference of base of a table lamp having radius 9 cm is 56.52 cm .#Keep LearningHelppp plssssss!!!!!!
Answers
Answer:
47°
Step-by-step explanation:
All trianges have a angle total of 180°.
Assuming the triangles are equals:
72+61+x=180
x=47
please help with 2 in the picture.
Answers
Answer:
4
Step-by-step explanation:
Question 6 of 10
The slope of the line below is -3. Which of the following is the point-slope
form of the line?
5
(2,-2)
O A. y-2 = 3(x+2)
O B. y + 2 = -3(x - 2)
O C. y2 = -3(x+2)
O D. y + 2 = 3(x-2)
Answers
The point-slope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)
Point-slope form of an equation of a lineFrom the question, we are to determine the point-slope form of the given line
The point-slope form of an equation of a straight line is written 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 on the line
From the given information,
m = -3
And in the diagram,
One of the points on the line is (2, -2)
Therefore, we can write that
x₁ = 2 and y₁ = -2
Substituting into the point-slope form of an equation of a line,
We get
y - (-2) = -3(x - 2)
This becomes
y + 2 = -3(x - 2)
Hence, the pointslope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)
Learn more on Point slope form of an equation of a straight line here: https://brainly.com/question/8386231
The diagram for the question is attached below.
Which sentence explains the correct first step in the solution of this equation?
4(x−3)=9
Add 2 to both sides.
Apply the distributive property to get 4x−12=9.
Apply the distributive property to get 4x−3=9.
Subtract 9 from both sides.
Answers
Answer:
B. Apply the distributive property to get 4x-12=9[tex]\boxed{\sf{x=\dfrac{21}{4}=5.25 }}[/tex]
Step-by-step explanation:
Isolate the term of x from one side of the equation.
Use the distributive property.
Distributive property:
[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]
4(x-3)=9Expand the form multiply.
4*x=4x
4*3=12
Rewrite the problem down.
4x-12=9
Add by 12 from both sides.
4x-12+12=9+12
Solve.
Add the numbers from left to right.
9+12=21
4x=21
Divide by 4 from both sides.
4x/4=21/4
Solve.
Divide the numbers from left to right.
x=21/4
21/4=5.25
x=21/4=5.25
Therefore, the final answer is x=21/4=5.25.I hope this helps you! Let me know if my answer is wrong or not.
The answer is B. Apply the distributive property to get 4x−12=9. You would do 4 times x to get 4x and then 4x3 to get 12. Then apply that information to the equation to get 4x−12=9.
Determine algebraically whether the function is even, odd, or neither even nor odd. f(x) = x^2
Answers
Answer:
The function is even
good luck
The ratio of green cars to yellow cars in a car park is 89 : 61.
Rewrite this as an equivalent ratio of the form n :1.
Give any decimals in your answer to 2 d.p.
Answers
Hope this helps :)
How to calculate grade in class with weighted percentages?.
Answers
Answer:
Multiply the grade on the assignment by the grade weight. In the example, 85 times 20 percent equals 17, and 100 times 80 percent equals 80.
Step-by-step explanation:
find the area !
please hurry! Thank you!
Answers
Answer:
254.34 in²
Step-by-step explanation:
Assuming that the shape is a circle,
area of circle= πr², where r= radius.
Given that the diameter is 18 in,
radius= diameter ÷2
radius= 18 ÷2
radius= 9 in
Let's substitute r= 9 and use 3.14 as the value of π:
Area of circle
= 3.14(9²)
= 3.14(81)
= 254.34 in²
Explain the transformation of the graph from f(x)=x^2 to g(x)=x^2-6
Answers
Answer: the graph is shifted 6 units down
Step-by-step explanation:
The ride runs for 3 minutes. The disc
completes one up and down cycle every 45
seconds. How many complete up and down
cycles will occur during a single ride?
Answers
Write an expression for two times the difference of eight and d. step by step
Answers
Answer:
2(8-d)
Step-by-step explanation:
Because it says 2 times the difference this means the difference will be multiplied by 2. It also says difference which means that 8 and d must be subtracting
The Science Club is researching boiling points. They learn that at high altitudes, water boils
at lower temperatures. At sea level, water boils at 212°F. With each increase of 500 feet in
elevation, the boiling point of water is lowered by about 1°F.
a. 212– 1/500 e < 195
b. 1/500 e - 195 < 212
c. 195 - 212e < 1/500
d. 212 – 195e<1/ 500
Answers
The inequality expression that accurately represents the phenomena described in the question is:
212– 1/500 e < 195 (Option A)
Inequalities can be used to represent many real-life problems. Inequalities are similar to equations.
The inequality above represents the situation in which the boiling point of the sea reduces as the altitude increases.
Learn more about inequalities at:
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Suppose this two-dimensional figure is rotated 360 degrees using the vertical axis
shown. Each small square on the grid represents 1 square inch. What is the volume of
the three-dimensional figure? (2pts)
A. 41.89 in
B. 33.51 in
C. 62.83 in 3
D. 37.70 in3
Answers
The volume of the three-dimensional figure formed if the two-dimensional figure is rotated 360 degrees is 37.70 in³
What is volume?Volume is the amount of space occupied by a three dimensional shape or object.
The volume of the three dimensional shape is:
Volume = volume of cylinder + volume of cone = (π(2²) * 2) + [(1/3) * π * (2²) * 3] = 37.70 in³
The volume of the three-dimensional figure formed if the two-dimensional figure is rotated 360 degrees is 37.70 in³
Find out more on volume at: https://brainly.com/question/12410983
16-2t=5t+9
Answer
equation
Answers
Answer:
t=1
Step-by-step explanation:
16-2t=5t+9
step 1 :group like term to the same side
16-9=5t+2t
step 2 : combine
7=7t
step 3: solve for t
t=7/7
t=1
