Answers
Answer:
A = 139.5 cm^2
Step-by-step explanation:
Ok, let's break it down into pieces. First let's find the area of the main rectangle. We know that the area of a rectangle is as follows:
A = L x W
A = 9 x 12
A = 108 cm^2
Now we need to find the area of the two triangles. There are two ways to approach this. If you can visualize that you can flip the first triangle and slide it against the second, it becomes a rectangle. Then you can simply use the same formula as before with modified numbers.
L = 7 (height of the triangle
W = 4.5 (base of the triangle (half of 9))
A (both triangles) = 7 x 4.5
A (both triangles) = 31.5 cm^2
If you can't quite figure out how to visualize that, you can simply treat them as two independent right triangles. The formula for the area of a right triangle is as follows:
A = (1/2)b x h
b = 4.5
h = 7
A (first triangle) = (1/2)4.5 x 7
A (first triangle) = 15.75 cm^2
The area of the second triangle is identical
A (second triangle) = 15.75 cm^2
The area of the two triangles added together is
A (both triangles) = A (first triangle) + A (second triangle)
A (both triangles) = 31.5 cm^2
As you can see we got the same answer both ways. Now we just have to add the area of the two triangles to the area of the rectangle
A = 108 + 31.5
A = 139.5 cm^2
Related Questions
Find dcq pls thanks so much
Answers
Answer:
arc ABC = 196°
∠DCQ = 47°
Step-by-step explanation:
arc AD = 70°
∠D = 1/2 arc ABC = 98°
arc ABC = 98° * 2 = 196°
arc CD = 360° - arc AD - arc ABC = 360°-70°-196° = 94°
tangent chord angle DCQ = 1/2 arc CD = 1/2 * 94° = 47°
Which of the following statements is true?
Answers
Answer:
Provide the statements please
Step-by-step explanation:
True or False
If you know at least one
angle on the diagram
below you can find the
other three.
Answers
Hope this helps:)
This is a cross section of the design of a bookshelf.
Which is the closest to the length,in inches,of the brace indicated by BC in the sketch?
Answers
Answer:
25 in
Step-by-step explanation:
[tex]a^{2} +b^{2} =c^{2} \\15^{2} +20^{2} =c^{2} \\225+400=c^{2} \\c^{2} =625\\c=\sqrt{625} \\c=25[/tex]
what is the place name of 2 in 25
Answers
Answer:
no idea
Step-by-step explanation:
bro
Answer:
20
Step-by-step explanation:
Hope this helps
HELP PLS, The cosine of
Answers
Answer:
add/hyp
Step-by-step explanation:
using SOHCAHTOA cosine of an angle A will be adjacent/ hypotenus
I need help please!!
Answers
The PTO is selling raffle tickets to raise money for classroom supplies. A raffle ticket costs $3. There is 1 winning ticket out of the 140 tickets sold. The winner gets a prize worth $84. Round your answers to the nearest cent.
What is the expected value (to you) of one raffle ticket?
Calculate the expected value (to you) if you purchase 8 raffle tickets?
What is the expected value (to the PTO) of one raffle ticket?
If the PTO sells all 140 raffle tickets, how much money can they expect to raise for the classroom supplies?
Answers
Answer:
A) 0.54
B) 4.32
C) 2.4
D) 336
Step-by-step explanation:
A)Expected value (you) = (84 × 3) × [tex]\frac{1}{140}[/tex] × (0.3)× [tex]\frac{139}{140}[/tex]
= 0.54
B) Expected value (you) 8 tickets = 0.54 × 8
= 4.32
C) Expected value ( for PTO) = ( 3 - 84) × [tex]\frac{1}{140}[/tex] + ( 3 - 0 ) × [tex]\frac{139}{140}[/tex]
= 2.4
D) For 140 raffle tickets = 2.4 × 140
= 336
please help! I really don't understand!
Answers
b. some clusters are.. 3,4,5, and 6 they are clusters because they are assembled around a particular value. the peak is 6 because it is the highest number it reaches. there are no gaps in this table.
c. to calculate the average with a graph you sum the numbers then divide by the total number of values in the set. for this table you add 1+2+3+3+4+4+4+5+5+5+5+5+5 then you divide by 15.
1+2+3+3+4+4+4+5+5+5+5+5+5=51
51 ÷ 15= 3.4
At many college bookstores, students can decide whether to purchase or to rent a textbook for a class. A study was conducted to investigate whether the percent of rented textbooks for all science classes in the state was greater than the percent of rented textbooks for all literature classes in the state. The following hypothesis test was done at the significance level of α=0.05α=0.05.
H0:pS=pLHa:pS>pLH0:pS=pLHa:pS>pL
In the hypotheses, pSpS represents the proportion of all science textbooks that are rented, and pLpL represents the proportion of all literature textbooks that are rented.
All conditions for inference were met, and the resulting pp-value was 0.035. Which of the following is the correct decision for the test?
The pp-value is less than αα. Since 0.035<0.050.035<0.05, the null hypothesis is rejected, and the claim is supported. There is convincing statistical evidence that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
A The pp-value is less than αα, and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
B The pp-value is less than αα, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
C The pp-value is greater than αα, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
D The pp-value is greater than αα, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
Answers
Answer:
A The p-value is less than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
Step-by-step explanation:
Given :
Percentage rented science textbooks = pS
Percentage rented Literature textbooks = pL
To test if percentage Science textbooks in the state was greater than percentage Literature textbooks :
H0: pS = pL
Ha: pS > pL
Pvalue = 0.035 ; α = 0.05
Decision Region :
If Pvalue < α ; We reject H0
In the scenario above,
Pvalue < α ; 0.035 < 0.05 ; Hence, we reject the Null ;
We conclude that There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
which figure can be produced by a rotation and reflection of figure A ?
Answers
Answer:
It can produce the shape triangle
First step to solve this equation x-5=7-2x
Answers
Answer:
The answer is Add 2x to both sides of the equation
Step-by-step explanation:
3x−5=7
Find the value of x in the triangle shown below 4 3
Answers
Answer: 5
Step-by-step explanation: I took the test
One year there was a total of 59 commercial and noncommercial orbital launches worldwide. In addition, the number of noncommercial orbital launches was two more
than twice the number of commercial orbital launches. Determine the number of commercial and noncommercial orbital launches.
Answers
Answer:
The number of commercial orbital launches is equal to 19 and the number of noncommercial orbital launches is equal to 40.
Step-by-step explanation:
IMPORTANT INFORMATION: The number of noncommercial orbital launches was two more than twice the number of commercial orbital launches.
Let's say that the number of commercial orbital launches is equal to x. Now, the number of noncommercial orbital launches is equal to 2x+2.
We are told that if we add the number of commercial and noncommercial orbital launches together we will get 59.
Therefore, if we add 2x+2 with x we should get 59:
2x+2+x=59
3x+2=59
3x=57
x=19
This is how we can come to the answer that the number of commercial orbital launches is equal to 19 and the number of noncommercial orbital launches is equal to 40 (2x+2=2*19+2=38+2=40).
Hope this helps!
Please help me fast i need help but please no links
Answers
Answer:
dont click that other guys link its an ip grabber
Step-by-step explanation:
One angle of a right triangle measures 51°. What is the measure of the other acute angle, in degrees?
Answers
Answer:
39 degree
Step-by-step explanation:
180-90-51=39
If f(x) = 3x+ 5 and g(x) = – 2x2 – 5x + 3, find (f + g)(x).
Answers
Answer: 1/8
Step-by-step explanation:(f÷g)(x) =
f(x) / g(x) =
2x / 22x
When we divide expressions with like bases, we subtract the exponents.
2(x - 2x) =
2-x
Now we substitute x = 3
So (f÷g)(3)
2-3
When we have a negative exponent, we perform the reciprocal of the expression and remove the negative sign from the exponent.
1/(23) =
1/8
Need Help plzzzzzzxxxz
Answers
Answer:
[tex]VW = 50[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find VW
To find VW, we make use of the following equivalent ratios.
[tex]YX : XW = ZX : XV[/tex]
Where:
[tex]YX = ZX - ZY = 42 - 28 = 14[/tex]
[tex]XV = XW + VW = 25 + VW[/tex]
So, we have:
[tex]14 : 25 = 42 : 25 + VW[/tex]
Express as fraction
[tex]\frac{14 }{ 25 }= \frac{42 }{ 25 + VW}[/tex]
Divide both sides by 14
[tex]\frac{1}{ 25 }= \frac{3}{ 25 + VW}[/tex]
Cross multiply
[tex](25 + VW) * 1 = 3 * 25[/tex]
[tex]25 + VW = 75[/tex]
Solve for VW
[tex]VW = 75 -25[/tex]
[tex]VW = 50[/tex]
Jason has a part-time job. The table below shows the number of hours he worked and how much money he earned on three different days.
Answers
Answer:
Pretty sure it's 9.75
Step-by-step explanation:
39.00 divided by 4 = 9.75
WILL GIVE 40 BRAINLY
(08.03)Consider the following pair of equations: y = −2x + 8 y = x − 1 Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Answers
Answer:
[tex](3,2)[/tex]
Step-by-step explanation:
The method of variable substitution is a way of solving a system of equations. It involves solving one equation for a variable and then substituting in the expression that represents the value of the solved variable into the other equation. After doing so, one can solve for the unknown variable and then backsolve for the other variable.
[tex]y=-2x+8\\y=x-1[/tex]
In this system, the second equation is already solved for (y), thus one can substitute that expression into the other equation in the system.
[tex]x-1 = -2x + 8[/tex]
Now solve using inverse operations,
[tex]x -1 = -2x + 8\\+2x\\\\3x - 1 = 8\\+1\\\\3x =9\\/3\\\\x = 3[/tex]
Backsolve to find the value of (y), substitute in the value of (x), and solve for the value of (y).
[tex]y=x - 1\\[/tex]
Substitute,
[tex]y=(3)-1[/tex]
Solve,
[tex]y=2[/tex]
Thus, the answer to this system of equations is the following, [tex](3,2)[/tex].
Answer:
(x = 3 and y = 2)
Step-by-step explanation:
Ok, we have our 2 equations...
y = -2x + 8
y = x - 1
Lets solve them
y = -2x + 8 , y = x - 1
They both equal y so I can put them together to equal out. Now our equation is...
x - 1 = -2x + 8
The next step is to get x on one side by itself, so change the negative symbol on -2 to addition...
3x - 1 = 8
Next step is to add 1 on both sides...
3x = 9
Divide both sides by 3...
x = 3
Now to do the other equation, which is easier.
y = x (3) - 1
or
y = 2
Both are solved and we have ...
(x = 3 and y = 2)
In a fruit cocktail, for every 30 ml of orange juice you need 45 ml of apple juice and 25 ml of coconut milk. What proportion of the cocktail is coconut milk?
Answers
30+45+25 =100;
Pls help extra points
Answers
Answer:
3,6,9,27 and 2,4,6,18
Step-by-step explanation:
It simple
The graph of quadratic function f is shown on the grid. 5 -3 -12 5 u 6 Which of these best represents the domain of f? А -5.5 < x < 1.5 B All real numbers less than or equal to 3 C All real numbers D y <3
Answers
Answer:
C: All real numbers.
Step-by-step explanation:
Domain means the interval of x=values that the function resides in. Since this quadratic function can go to both positive and negative infinity, there are no limits to the x-values so therefore the domain is all real numbers.
find the product -2X²×4X²y²
Answers
Answer:
-8X^4y^2
Step-by-step explanation:
-2X² × 4X²y² = -8X^4y^2
edit to add:
first: multiply the coefficients together:
-2 x 4 = -8
second: add the exponents of X together (when you multiply exponents, you just add them together):
² & ² = ^4
and you have the answer:
-8X^4y^2
Step-by-step explanation:
-2X²×4X²-y²
= -4X × 16X - y
= 64X -y
Help plsssss no links plss
Answers
what is the answer to this (235-(-30) /5-100
Answers
Answer:
265/ -95 = -2.789
Step-by-step explanation:
235 - - 30 /5 - 100
two negatives equal a positive +
265/5 - 100
265/-95
-2.789
I need help ASAP. Worth 20 points
Look at picture plz
Answers
hope this helps
7/12 x 4/6 simplest form
Answers
What are the coordinates of point A?
A: (- 2, -6)
B: (- 6, -2)
C: (- 6, -3)
D: (- 3, -6)
Answer correctly for 50 points.
Answer falsely , then get ready for instant consequences.
Answers
The x value is first and the y value is second.point A is at (-3,-6)
rose can make 5 3/4 bookmarks in one hour . How many bookmarks can she make in 3 1/2 hours
Answers
Answer:
I haven't done that type of math in a while but I cam up with 21 bookmarks