Answer:
255) 36°
257) 30°
Step-by-step explanation:
The sum of the angle measures in a triangle is 180°.
__
255)(x +43) +(x +77) +74 = 180
2x = -14 . . . . . . . . . . . subtract 194
x = -7
∠A = -7 +43 = 36°
__
257)5x +(3x +2) +130 = 180
8x = 48 . . . . . . . . . . . . . . subtract 132
x = 6
∠A = 5·6 = 30°
whats 2077-210?
its for a thing im doing.
Answer:
1867
Step-by-step explanation:
What do you need it for?
6(h - 6k+7) distributive property
Answer: 6h-36k+42
Step-by-step explanation:
6(h - 6k+7)
First, start by doing 6 times h
Then, 6 times -6k
Lastly, 6 times 7.
6h-36k+42 is your answer.
At Pathmark, 4 pounds of pork chops cost $12.60 and 5 pounds of ground beef cost $10.25. Find the total cost of 11 pounds of pork chops and 12 pounds of ground beef.
Answer:
Let pork chops and ground beef be x and y respectively.
4x = $12.60
x = $3.15
11x = $34.65
5y = $10.25
y = $2.05
12y = $24.60
11x + 12y = $34.65 + $24.60
= $59.25
1. A stack of boards is 21 inches high. Each board is 1¾ inches thick. How many boards are there
Answer:
12
Step-by-step explanation:
We can solve this by setting up an equation with the variable x representing the number of boards. Since x number of 1.75 inches thick boards sum up to the height of 21 inches, the equation is 1.75x = 21, so x = 12. There are 12 boards.
Use the shell method to find the volume of the solid obtained by rotating the region bounded by the curves y=4x-2 and y=x^2+1 about the y-axis. Simplify your solution.
The volume of the solid of revolution is [tex]\frac{16\pi}{3}[/tex] cubic units.
First, we determine the limits between the two curves. ([tex]f(x) = 4\cdot x -2[/tex], [tex]g(x) = x^{2}+1[/tex])
[tex]f(x) = g(x)[/tex] (1)
[tex]4\cdot x - 2 = x^{2}+1[/tex]
[tex]x^{2}-4\cdot x +3 = 0[/tex]
[tex](x-1)\cdot (x-3) = 0[/tex]
The lower and upper bounds are 1 and 3, respectively. It is to notice that [tex]f(x) > g(x)[/tex] for [tex]x \in (1, 3)[/tex]. Thus, we determine the volume of the solid of revolution by shell method, that is to say:
[tex]V = 2\pi \int\limits^a_b {x\cdot |f(x) - g(x) |} \, dx[/tex] (2)
If we know that [tex]a = 3[/tex], [tex]b = 1[/tex], [tex]f(x) = 4\cdot x - 2[/tex] and [tex]g(x) = x^{2}+1[/tex], then the volume of the solid of revolution is:
[tex]V = 2\pi \int\limits^3_1 {|4\cdot x^{2}-2\cdot x -x^{3}-x|} \, dx[/tex]
[tex]V = 2\pi\int\limits^3_1 {(4\cdot x^{2}-x^{3}-3\cdot x)} \, dx[/tex]
[tex]V = 8\pi \int\limits^3_1 {x^{2}} \, dx - 2\pi \int\limits^3_1 {x^{3}} \, dx -6\pi \int\limits^3_1 {x} \, dx[/tex]
[tex]V = 8\pi\cdot \left(\frac{3^{3}}{3}-\frac{1^{3}}{3} \right)-2\pi \cdot \left(\frac{3^{4}}{4}-\frac{1^{4}}{4} \right) - 6\pi\cdot \left(\frac{3^{2}}{2}-\frac{1^{2}}{2} \right)[/tex]
[tex]V = \frac{208\pi}{3} - 40\pi -24\pi[/tex]
[tex]V = \frac{16\pi}{3}[/tex]
The volume of the solid of revolution is [tex]\frac{16\pi}{3}[/tex] cubic units.
To learn more on solids of revolution, we kindly invite to check this verified question: https://brainly.com/question/338504
Mrs.Lavander and Mr.Lavander just got marriade.They want to build a mansion but....it cause 1563$ and food...569$ there money is 3641$.How much will they spend?
Answer:
$2132
Step-by-step explanation:
They will spend : 1563+569= 2132 (dollars)
By the way did you copy the right question ? Because i see unnecessary information in this question. Anyway, try to check it again !
pls help it is 7th grade math
[tex]39+\dfrac 15 w \\\\=39+\dfrac 15 \left(-\dfrac 12 \right)\\\\\\=39 - \dfrac 1{10}\\\\\\=\dfrac{389}{10}\\\\\\=38\dfrac{9}{10}[/tex]
What is 153/4 as a whole number
[tex] \frac{4}{3} = \frac{51}{n} \\ = > \frac{3}{4} = \frac{n}{51 } \\ = > n = \frac{3}{4} \times 51 \\ = > n = \frac{153}{4} \\ = > n = 38 \frac{1}{4} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
£2000 is invested in a bank with 3% interest per annum. work out the amount of money in the account after 2 years
Answer:
The interest is: $120.00 +2000
Step-by-step explanation:
The two legs of a triangle are 300m ang 150m, respectively. The anle opposit the 150m side is 26 degress. What is the third side?
Answer:
335.4
Step-by-step explanation:
You can use the Pythagorean Theorem (a^2 + b^2 = c^2)
300^2 + 150^2 = 112500
The square root of 112500 is 335.4
Please help me find the height of 302 after some seconds?
Step-by-step explanation:
Since the initial velocity of the object is 170 ft/s, the expression for h is given by
[tex]h = -16t^2 + 170t[/tex]
In order to find the time it takes for the object to reach the height of 302 ft, we to rewrite the equation above as
[tex]302 = -16t^2 +170t \Rightarrow 16t^2 - 170t + 302 = 0[/tex]
This is a quadratic equation whose roots are
[tex]t = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
where a = 16, b = -170 and c = 302. Using these values, we get
[tex]t = \dfrac{170 \pm \sqrt{(-170)^2 - 4(16)(302)}}{2(16)}[/tex]
[tex]\;\;\;=\dfrac{170 \pm \sqrt{28900 - 19328}}{32}[/tex]
[tex]\;\;\;= \dfrac{170 \pm 97.8}{32}[/tex]
[tex]\;\;\;= 2.3\:\text{s},\;\;8.4\:\text{s},[/tex]
This means the object will reach the height of 302 ft 2.3 seconds after launch and then at 8.4 seconds after launch (on its way down).
Answer:
Step-by-step explanation:
heyyyyyyyyyyyyyyyyyyyyyyy
Answer:
Step-by-step explanation:
- The width of a rectangle is 4x – 1 feet and the length is 2x + 6 feet. Find the perimeter of the rectangle.
Answer:
12x + 10 feet
Step-by-step explanation:
Perimeter = 2( length + width)
= 2[ 2x + 6 + (4x -1)]
= 2( 2x + 6 + 4x - 1)
= 2( 6x + 5)
= 12x + 10
Write an equation of the line with a slope of -2 and y-intercept of 3
Answer:
y = -2x + 3
Step-by-step explanation:
the original formula is
y = mx + b
m is the slope
b is the inteception on the y axis
What are the common factors of 16 and 24?
O A. 1,2, 8
B. 1, 2, 460
C. 1, 2, 3, 4,8
O D. 1, 2, 4, 8, 12
SUBMIT
Answer:
1 , 2 , 4 , 8
Step-by-step explanation:
Factors of 16:
1, 2, 4, 8, 16
Factors of 24:
1, 2, 3, 4, 8, 6, 12, 24
Common factors are factors that are shared by both numbers, in this case, it i: 1 , 2 , 4, 8
3----2 = 7
5----4 = 23
7----6 = 47
9----8 = 79
And 19----9 = ??????
Answer:
i think 179
Step-by-step explanation:
(3×2)+(2-1) = 7
(5×4)+(4-1) = 23
(7×6)+(6-1) = 47
(9×8)+(8-1) = 79
so 19----9 = (19×9)+(9-1) = 171+8 = 179
Sally gets $8.00 each week for allowance. She wants to purchase a used bicycle that costs $24.00. She also wants to donate $8.00 to the food kitchen. Label your drawings with bike.
1. How much money will she have to save for both?
2. How many weeks will it take her to save for both?
3.How many weeks will she have to save if she wants to buy a newer used bicycle
that costs $32.00 and still make her $8.00 donation?
Answer:
1: $32. 2: 4 weeks. 3: 5 weeks
Step-by-step explanation:
1: 8+24=32$
2: 32/8=4=4 weeks
3: 32+8=$40
40/8=5=5 weeks
7. A game is played with 2 fair number cubes. One cube has faces numbered 1 through 6. The second number cube is numbered 4 through 6, and each number is marked on two faces. If both cubes are tossed, what is the probability of rolling a 2 on the first cube and a 3 on the second cube?
Answer:
Less than two would be one. Since there is only one of that, it would be 1/6th or 0.6666
Step-by-step explanation:
45+45-45+45-45+65+275÷92×50
Answer:
[tex]259 \frac{21}{46}[/tex]
Step-by-step explanation:
In order to solve this question we will need to use BODMAS to help us get a reasonable answer. If you don't know what BODMAS is it stands for:
B: Brackets
O: Orders
D: Division
M: Multiplication
A: Addition
S: Subtraction
First Step:
1. [tex]275/92*50[/tex]
First we multiply 50 by 275. Then we divide this result by 92.
[tex]275/92*50=6875/46[/tex]
Second Step:
2. [tex]45+45-45+45-45+65[/tex]
Now lets subract and minus and such that we get 110.
[tex]110[/tex]
Third Step:
Now we combine both these value and we get [tex]259 \frac{21}{46}[/tex]
Marshall wants to buy a picture frame. The original price is $15,
How much will Marshall pay if he buys it during the sale?
SALE
25% off
original price
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
Answer:
angle BEC is congruent to angle FEG (vertical opposite angles)
other than that, I'm not sure if the other angles are congruent bc of their marks.
Step-by-step explanation:
7
Kali developed her own website to advertise her babysitting business. In June she had 5,234 people visit her site. In July she had a 12 percent decrease in visitors. Approximately how
many people visited Kali's website in July?
A 5862
B 5222
C 4605
4673
Answer:
4606
Step-by-step explanation:
5234 · 0.12 = 628
5234 - 628 = 4606
Answer:
The answer to this question should be C: 4605.
Step-by-step explanation:
For this problem we need to know what 12% of 5,234 is. 12% of 5,234 is 628.08. Since their was a decrease in visitors we need to subtract 5,234-625.08=4,605.92. The probelm states that we need to find the "Approximate number", so have the .92 doesnt matter. So therefore the answer to this probelm is C: 4605.
yw :)
please help fast fast fast
Answer:
the answer is
[tex]the \: answer \: is \: b[/tex]
What positive acute angle is
Зл/4
related to?
Answer:
[tex][tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]
[tex][tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]
[tex][tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]
[tex][tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}[/tex]
2...
An article fills 5/8 of a magazine page. A related photo takes 1/4 of the article. How much of the page is taken up by the photo?
Answer:
2/8
Step-by-step explanation:
3x-9=2(x-14)
show me the steps to do this
Answer:
x=-19
Step-by-step explanation:
3x-9=2(x-14)
3x-9=2x-28
x-9=-28
x=-19
A supermarket needs to display 64 boxes of detergent.
The boxes need to be stacked with the same number of boxes in each row.
There should be at least 3 rows with at least 4 boxes in each row.
Choose the correct answers from the drop-down boxes to complete all the ways the boxes of detergent can be stacked.
Choose...
rows with 16 boxes in each row;
8 rows with
Choose...
boxes in each row;
16 rows with
Choose...
boxes in each row.
From the question, we are asked to find the row arrangement of a stack of boxes. Let us take a look at each one of the aforelisted answers
x rows with 16 boxes in each row8 rows with x boxes in each row16 rows with x boxes in each rowSince we are told that the total number of boxes to be stacked is 64, then for the first arrangement, we can deduce that the "x" is going to be 4. This is because multiplying 4 by 16 gives 64. For the second row, using the same calculation, we find that "x" is 8. And that of the third gives our "x" to be 4 as well. We can then adjudge that;
4 rows with 16 boxes in each row8 rows with 8 boxes in each row16 rows with 8 boxes in each rowBearing this in mind, we can see that each of the 3 answers fits into the requirements we are asked.
At least 3 rows, and at least 4 boxes in each row.Hence, all of the options are correct.
To learn more about rows and columns, see here https://brainly.com/question/13196178
I need help on this 1 problem on math
Answer:
x = 21
Step-by-step explanation:
2x+78 = 5x+15,
because corresponding angles will allow (2x+78) to move diagonally from 5x+15.
from built geometry knowledge,
angles diagonal from one another equal,
because (example) the angle above it would be 180-(2x+78),
then 5x+15 = 180 - [180-(2x+78)], which would ultimately be 5x+15 = 2x+78.
so, 2x+78 = 5x+15
78-15 = 5x-2x
63 = 3x
21 = x
Number 1. What is 42% of 80
Answer:
The answer is 33.6.
Hope that helps?
Step-by-step explanation:
I will mark brainly, help me with this question please.
Step-by-step explanation:
Since [tex]x[/tex] varies directly as [tex]\sqrt{y}[/tex] we can write the relation as
[tex]x = k\sqrt{y}[/tex]
where k is the constant of proportionality.
a) To solve for the k, we substitute the given values:
[tex]5 = k\sqrt{13} = k(13)[/tex]
[tex]\Rightarrow k = \dfrac{5}{13}[/tex]
b) The equation relation x and y can be written as
[tex]x = \dfrac{5}{13}\sqrt{y}[/tex]
c) When y = 9,
[tex]x = \dfrac{5}{13}\sqrt{9} = \dfrac{5}{13}(3) = \dfrac{15}{13}[/tex]