Answers
Answer:
9) 3.7 in
10) 12 in²
11) 18 in³
12) V=432π cm³
TSA= 216π cm²
13)V=448π ft³
TSA=240π ft²
Step-by-step explanation:
9) Since all side of the trapezium are the same the height = perpendicular line which is 3.7 in
10) 3×4 (the quadrilateral at the bottom)
11)∵ A= Cross-sectional area× height
⇒A= Area of the trapezium × 4
∴ A=[tex]\frac{1}{2} \\[/tex] (sum of the parallel sides) × 4
A=[tex]\frac{1}{2} \\[/tex] (3+6) × 4
A= 18 in²
12) V=πr²h
V=π(6)²(12)
⇒V=432 cm³
TSA=2(πr²)+2πrh
TSA=2(π(6)²)+2π(6)(12)
⇒TSA=240π cm²
13. V=πr²h
V=π(8)²(7)
V=448π ft³
TSA=2(πr²)+2πrh
TSA=2(π(8)²)+2π(8)(7)
TSA=240π ft²
9) 3.7 in
10) 12 in²
11) 18 in³
12) V=432π cm³
TSA= 216π cm²
13)V=448π ft³
TSA=240π ft²
Related Questions
if a/b=2 what would 4b/a be
Answers
Answer:
2 i think
Step-by-step explanation:
if a/b is 2 then it means a/b is equivalent to 2/1 so the value of a would be 2 and the value of b would be 1 so then for 4b/a we would plug in the values giving us 4(1)/2 which gives us a final answer of 2
Answer:
2
Step-by-step explanation:
We can assume a = 2 and b = 1 since that is the smallest values that will equal 2.
add these values into the equation
4(1)/2
4/2
2
Help please ! I'm soo confused
Answers
Answer:
(1/7)^(-1)<(1/7)^(-2)
7(-1)<(1/7)^(-1)
7^-2<7^-1
Step-by-step explanation:
U can look at the negative exponent that negative sign as the divide sign over 1
7^(-1)means 1/7
7^(-2) means 1/7^(2)=1/49
(1/7)^(-1)=7
(1/7)^(-2)=49
A car wash charges customers $6 per wash. It costs the car wash company $2 per wash for materials and a base cost of $80. How many car washes are necessary for the car company to make $60 in profit?
Answers
Answer:
35 Car Washes
Step-by-step explanation:
Data:-
Sale Charges per wash = $6/-
Cost per wash = $2/-
Base cost = $80/-
Required Profit = $60/-
Required:-
No of Cash Washes to reach the required profit = ?
Solution:-
Sales - VC = Contribution Margin
$6 - $2 = $4 per unit
Required Sales in Unit = Fixed Cost + Target Profit / Contribution margin per unit
= $80 + $60 / $4
= 35 Units
The number of calories burned while jogging varies directly with the number of minutes spent jogging. If george burns 150 calories by jogging for 20 minutes, how many calories does he burn by jogging for 30 minutes
Answers
Someone please Help!!!!!
Answers
Answer:
I believe that the slant height is 15.3 because of pythagorean theorem.
This means that the surface area is 740.2
Step-by-step explanation:
8. Find the area of the triangle. (1 point) 16 ft 62 ft Not drawn to scale.
Answers
Answer:
Hello! Answer: 496
Step-by-step explanation:
When finding area for triangles we have to do base x height then divide by 2 so
62 x 16 = 992
992 ÷ 2 = 496
So 496 is our answer!
Answer:
A - 496
Step-by-step explanation:
formula for area of a triangle
[tex]a = \frac{bh}{2} [/tex]
where b = base length and h = height
The triangle shown has a base length of 62 ft and a height of 16 ft
That being said we plug in the given values into the formula
[tex]a = \frac{62 \times 16}{2} \\ 62 \times 16 = 992 \\ \frac{992}{2} = 496[/tex]
Hence the area of the triangle is 496 square feet
Averigua si el triángulo de los lados 29 cm, 35 cm, y 48 cm es rectángulo, acutángulo u obtusángulo. Halla la longitud de la altura sobre el lado mayor
Answers
Answer:
Los ángulos son de 36, 47 y 97 grados y la altura es de 35 cm.
Step-by-step explanation:
Usando la regla del coseno podemos encontrar las medidas de los ángulos del triángulo escaleno
Cos A = b² + c²-a² / 2bc ------ ecuación A
Cos B = a² + c²-b² / 2ac ------- ecuación B
y Cos C = b² + a²-c² / 2ab ------ ecuación C
Si tomamos a = 29, b = 35 y c = 48
Luego, poniendo los valores
Cos A = b² + c²-a² / 2bc
Cos A = (35) ² + (48) ² - (29) ² / 2 (35) (48)
Cos A = 1225 + 2304-841 / 3360
Cos A = 0,8
A = cos ⁻¹ 0.8 = 36.86 grados casi 37 grados.
similar
Cos B = a² + c²-b² / 2ac
Cos B = (29) ² + (48) ²- (35) ² / 2 (29) (48)
Cos B = 1920/2784
B = cos ⁻¹ 0.689 = 46.39 grados casi 46 grados
Y
Cos C = b² + a²-c² / 2ab
Porque C = 1225 + 841-2304 / 2 * 29 * 35
Cos C = -0,11724
C = cos ⁻¹ -0,11724
C = 96,73 = 97 grados
la altura se puede calcular usando la fórmula
h = b. sin C = c. Pecado B
h = 35 sin 97 °
h = 34,75 = 35 cm
English
Using the cosine rule we can find the measures of the angles of the scalene triangle
Cos A= b²+c²-a²/ 2bc------ equation A
Cos B = a²+c²-b²/ 2ac------- equation B
and Cos C= b²+a²-c²/ 2ab------ equation C
If we take a= 29 , b= 35 and c= 48
Then by putting the values
Cos A= b²+c²-a²/ 2bc
Cos A= (35)² + (48)² - (29)²/ 2(35) (48)
Cos A= 1225+2304-841/ 3360
Cos A= 0.8
A = cos ⁻¹ 0.8= 36.86 degrees almost 37 degrees.
Similarly
Cos B = a²+c²-b²/ 2ac
Cos B = (29)²+(48)²-(35)²/ 2(29) (48)
Cos B= 1920/2784
B=cos ⁻¹ 0.689= 46.39 degrees almost 46 degrees
And
Cos C= b²+a²-c²/ 2ab
Cos C= 1225+841-2304/2*29*35
Cos C= -0.11724
C= cos ⁻¹ -0.11724
C= 96.73= 97 degrees
the height can be calculated using the formula
h= b. sin C= c. Sin B
h= 35 sin 97°
h= 34.75= 35 cm
The angles are 36, 47 and 97 degrees and height is 35 cm
Can someone please help! I'll do anything you want!
Can the sides of a triangle have lengths 3, 7, and 13?
Yes or No
Answers
Answer:
No
Step-by-step explanation:
Since the hypotenuse is 13, the 2 legs' sum HAVE to be GREATER than the hypotenuse or else it is not a triangle.
"A triangle is valid if sum of its two sides is greater than the third side."
thisss plss LOL again> (no link) if u do die.
Answers
Add a+b+c=p for the triangle.
24+26+10=60, Then add this to the semi-circles perimeter.
p=r(pi+2)
r=d/2
p=13(3.14+2)
p=13(5.14)
p=66.82
Add 66.82+60
66.82+60=126.82
Answer: 126.82
Math Journal Cameron buys 4 notebooks and 2 packages of pens for $16.
Olivia buys 5 notebooks and 1 package of pens for $14.75. Write and solve
a system of equations to find the price of each notebook and the price of
each package of pens. Tell what each variable represents and what each
equation represents.
(No links please)
Answers
Answer: A notebook cost $2.25
A pen cost $3.50
Step-by-step explanation:
Let the price of notebook be n
Let the price of pens be p.
Cameron buys 4 notebooks and 2 packages of pens for $16. This will be:
4n + 2p = 16 ..... equation i
Olivia buys 5 notebooks and 1 package of pens for $14.75. This will be:
5n + p = 14.75 ..... equation ii
Combining both equations will give us:
4n + 2p = 16 ..... i
5n + p = 14.75 ...... ii
Multiply equation i by 1
Multiply equation ii by 2
4n + 2p = 16 ....... iii
10n + 2p = 29.50 ...... iv
Subtract equation iii from iv
6n = 13.50
n = 13.50/6
n = 2.25
A notebook cost $2.25
Since 4n + 2p = 16 from equation I
4n + 2p = 16
4(2.25) + 2p = 16
9 + 2p = 16
2p = 16 - 9
2p = 7
p = 7/2
p = 3.5
A pen cost $3.50
Shannon participated in a national math contest by taking a math test. The test results followed a normal distribution with a mean score of 72.6 points out of 100 and a standard deviation of 8.7. Shannon received a score of 81 points. Shannon thinks she performed better than 68% of the students in the contest
Shannon is incorrect because her score of 81 is...
a. approximately −2 standard deviations from the mean
b. approximately −1 standard deviations from the mean
c. approximately 1 standard deviations from the mean
d. approximately 2 standard deviations from the mean
Answers
what is 10 +10+10+10 +20'
Answers
Answer:
60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
ayo can yall help me plzzz
Answers
Answer:
D, Impossible
Step-by-step explanation:
Answer:impossible
Step-by-step explanation:
there aren’t any green folders
Jay took a number n and increased it by 25%. Then, he doubled the resulting product.
Which of the following is equivalent to these two steps and would result in the same final number?
A. doubling the number and then decreasing the result by 25%
B. increasing the number by 50%
C. multiplying the number by 1.25
D. multiplying the number by 2.5
Answers
Answer: multiplying the number by 2.5
Your answer
Step-by-step explanation:
Jay took a number n and increased it by 25%. This will be:
= n + (25% × n)
= n + (0.25 × n)
= n + 0.25n
= 1.25n
Then, he doubled the resulting product. This will now be:
= 2 × 1.25n
= 2.50n
Therefore, the equivalent will be option D "multiplying the number by 2.5".
A rectangle is divided into equal squares. One row covers 1/8 of the whole rectangle. There are 3 squares in each row. How many squares are in the whole rectangle?
Answers
Answer:
There are 24 squares in the entire rectangle
Step-by-step explanation:
Trom the problem, we are given that one row covers 1/8 of the entire rectangle.
We are also told that this one row, contains three squares.
In other words, what this means is that three squares cover 1/8 of the entire rectangle.
The question is now if three squares cover only 1/8 of the rectangle, how many squares cover the whole rectangle.
In fraction, we can represent a whole using 1/1
We can set up a simple relation to this effect.
3 squares give 1/8 of the rectangle
x squares give 1/1 of the rectangle
cross multiplying, we have
x = 3 ÷(1/8) = 24
Therefore, there are 24 squares in the entire rectangle
I need help I will give brainliest I promise
Answers
Answer:
1/4 is the answer
Step-by-step explanation:
First, we see that the total students is 20 & the students who got 6 or 7 is 5.
5/20 = 1/4
1/4 = 25%
someone please explain to me how this is done please
Answers
Answer:
10√6 ; √5/6 ; 42√14
Step-by-step explanation:
1) - factorise 240
240/ 2 = 120
120/2 = 60
60/2 = 30
30/2 = 15
15/3 = 5
5/5 = 1
240 = 2^4 * 3 * 5
- simplify [tex]\sqrt{2^4 * 5 * 3}[/tex]. We can in particular simplify [tex]\sqrt{2^4}[/tex] by dividing the index of the radius and the exponent by 2
[tex]2^2\sqrt{5*3} = 4\sqrt{15}[/tex]
- factorise 12
12/2 =.6
6/2 = 3
3/3 = 1
12 = 2^2 * 3
- simplify [tex]\sqrt{2^2 *3}[/tex]
[tex]\sqrt{2^2 * 3} = 2\sqrt{3}[/tex]
- divide [tex]4\sqrt{15} with 2\sqrt{3}[/tex]
number : number = 4/2 = 2
square : square = √15 / √3 = √5
[tex]2\sqrt{5}[/tex]
- multiply √30 with 2√5
number x number = 2x1 = 2
square x square = √30 x √5 = √150
2√150
- factorize 150
150/ 2 = 75
75/3 = 25
25/5 = 5
5/5 = 1
150 = 5^2 x 2 x 3
- simplify [tex]\sqrt{5^2 * 2 * 3}[/tex]
[tex]\sqrt{5^2 * 2 * 3} = 5\sqrt{6}[/tex]
- multiply 2 and 5
10√6
2) remember that a division of two terms with the same square can be rewrite as [tex]\sqrt{x/y} = \sqrt{x} / \sqrt{y}[/tex]
- rewrite the expression in this way
[tex]\sqrt{5} / \sqrt{9} + \sqrt{5} / \sqrt{144} - \sqrt{5} / \sqrt{16}[/tex]
- solve the squares of the denominators
√5/3 + √5/12 -√5/4
- rewrite the fraction with the same denominator = 12
(4√5 + √5 - 3√5)/12
- simplify the numerators by sum the numbers
2√5/12
- divide 2 and 12
√5/6
3)
- multiply 3√2 and √14
number x number = 3 x 1 = 3
square x square = √2 x √14 = √28
3√28
- factorise 28
28 = 2^2 x 7
- simplify [tex]\sqrt{2^2 *7}[/tex]
[tex]\sqrt{2^2 *7} = 2\sqrt{7}[/tex]
- multiply 3 and 2
6√7
- factorise 98
98/2 = 49
49/7 = 7
7/7 = 1
98 = 7^2 * 2
- simplify [tex]\sqrt{7^2 * 2}[/tex]
[tex]\sqrt{7^2 * 2} = 7\sqrt{2}[/tex]
- multiply 6√7 and 7√2
number x number = 42
square x square = √14
42√14
Which of the following expressions will find the sum interior angles of a polygon with 14 sides?
A.) 14(180)-2
B.) 180(14-2)
C.) 180(14)-180
D.) 180(14)
Answers
Answer:
B.
Step-by-step explanation:
The expression that represents the sum of the interior angles of a polygon with 14 sides is: B. 180(14 - 2).
What is the Sum of the Interior Angles of a Polygon?The formula for the sum of the interior angles of a polygon is given as, 180(n - 2), where n is the number of sides of the polygon.
For a 14-sided polygon, the sum of the interior angles would be:
180(14 - 2).
Learn more about sum of inetrior angles of a polygon on:
https://brainly.com/question/24966296
#SPJ2
A deck of cards has 5 pink, 2 gray, and 6 black cards. You pick 2 cards from the deck without replacement. What is the probability that the first card is gray and the second card is pink?
Answers
Answer:
[tex]\frac{5}{78}[/tex]
Step-by-step explanation:
First, find the probability that the first card is gray.
Since there are 13 cards in total, and 2 are gray, the probability will be 2/13
Next, find the probability that the second card is pink.
Since there are now 12 cards in total (since there is no replacement), and 5 are pink, the probability is 5/12.
Now, to find the probability that these are drawn in order, multiply the probabilities together:
[tex]\frac{2}{13}[/tex] x [tex]\frac{5}{12}[/tex]
= [tex]\frac{5}{78}[/tex]
So, the probability is [tex]\frac{5}{78}[/tex]
What is the radius when the circumference is 314
Answers
Answer:
Radius is 50 cm.
Step-by-step explanation:
This diagram shows
Parallel Lines
Perpendicular Lines
Supplementary Angles
Complementary Angles
Answers
Explanation: supplementary angles are angles that add up to 180 degrees and as these two angles are on a straight line and straight lines are always 180 degrees
hope that helps if u have any questions let me know and i would rly appreciate if u could mark this as brainliest !!
Monique begins a running program to train for a marathon. She starts by running 1 mile the first week and tripling the number of miles each week. The number of miles Monique will run can be modeled by the sequence An=1(3)n−1, where n is the number of weeks since she began her program. Use the drop-down menus below to complete the statements about the miles Monique runs weekly.
Answers
Answer: 1st one is geometric I think not fully sure but the second is 3 times
Step-by-step explanation: I was doing it
Answer:
geometric, 3 times
Step-by-step explanation:
imagine math
Question 23 of 25 What is the probability of flipping a coin 85 times and getting tails 30 times or fewer? Round your answer to the nearest tenth of a percent. A. 99.8% B. 33.2% C. 0.4% D. 95.9%
Answers
Answer:
I think its B
Step-by-step explanation:
Tommy rides his bike 27 miles in 3 hours. If he rides at a constant speed, select the answer below that is equivalent ratio to the speed he rides. pls help ASAP
Answers
which sequence has nth term 2n+5
a)7,21,35,
b)7,9,11,13
c)1,4,9,16
Answers
Answer:
The answer is b.Look below for details.
Step-by-step explanation:
Question no 1. The sequence has the common difference of 14.
t1=7
t2=21
t3=35
We have
tn=a+(n-1)d
=7+(n-1)14
=7+14n-14
=14n-7(Its not our answer)
Lets try b.
The common difference is 2 in this sequence.
t1=7
t2=9
t3=11
t4=13
We have
tn=7+(n-1)2
=7+2n-2
=2n+5(Its is our answer.) Got it.
What do rhombuses always have
Answers
Answer:
A, B, and D
Step-by-step explanation:
Mr. Palmer deposited $850 into a simple interest account for 8 years, earning at an 8% interest rate. What will his total balance be when he checks it? I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link. I do not want a link.
a.723.29
b. 1,394.00
c. $1,573.29
d. $68.00
Answers
Answer:
solution given:
principal [P]=$850
time[T]=8years
rate[R]=8%
now
simple interest [S.I.]=[tex] \frac{P×T×R}{100}[/tex] =$ [tex] \frac{850×8×8}{100}[/tex] =$544
so
Total balance=S.I.+P=$544+$850=$1394.
option b.$1,394.00 is your answer
If you multiply 2 xr you will get the ....?
Answers
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
Can someone help me with this problem please!! i’ll give brainliest!
Answers
Answer:
its b i think dont trust though
Step-by-step explanation:
Find the angle measures.
Answers
They form supplementary angles
(Add up to 180 degrees)
5x + x + 12 = 180
6x + 12 = 180
6x = 168, x = 28
m<1 = 5(28) = 140 degrees
m<2 = 28 + 12 = 40 degrees
Solution: m<1 = 140 degrees
m<2 = 40 degrees