Answer:
V of both A and B is 100 cm³
Step-by-step explanation:
the volume (V) of a prism is calculated as
V = Ah ( A is the area of the base and h the height )
A
A = 20 and h = 5 , then
V = 20 × 5 = 100 cm³
B
A = 25 and h = 4 , then
V = 25 × 4 = 100 cm³
Find the volume of this triangular prism. Be sure to include the correct unit in your answer. 7 in 5 in 8 in
The ratio of number of student wearing sneakers in a class to the number of students wearing sandals in the class is 3:4 How many were are waring sneakers if there are 28 student in the class
12 students are wearing sneakers.
Answer:
12
Step-by-step explanation:
So, the ratio is 3:4. That means this is for every 7 students. We have 28 students, so we need to know how many times 7 was multiplied to get to 28. 28 divided by 7 gives you 4. Now, we have to multiply both numbers in the ratio by 4. 3 times 4 is 12, and 4 times 4 is 16. The new ratio is 12:16. The students wearing sneakers were originally the 3 that got multiplied into 12, so the answer is 12.
Hope this helps!
In the picture above, line BX is the bisector of A, angle B and C. Line CX is the bisector of A, angle C and B. If angle A = 68°, find the size of the obtuse B, angle X and C.
Answer:
,
Step-by-step explanation:
answer. is in the image
what is the 8th term in the following sequence? 27, 39, 51, 63
Answer:
the 8th term = 111Step-by-step explanation:
39-27=12
51-39=12
63-51=12
It’s clear that ,in this sequence we add 12 each time to a term to get the next term.
This means that this is an arithmetic sequence with a common difference of 12.
Therefore,
Term1 = 27 ; Term2 = 39 ; Term3 = 51 ; Term4 = 63
Term5 = 75
Term6 = 87
Term7 = 99
Term8 = 111
Method 2 :
Un = U1 + (n-1)r
r is the common difference = 12
U1 = 27 is the first term
Then
U8 = 27 + (8-1)×12
= 27 + 7×12
= 27 + 84
= 111
This composite figure is made up of three simpler shapes. What is the area of
the figure? PLEASEE I NEED HELP
Answer:
D.94 square centimeters
Step-by-step explanation:
(10×4) + (8×6) + (1/2×6×2)
= 94 cm^2
Answer:
D. 94 square centimeters
Step-by-step explanation:
It mentions the composite figure is made up of three simpler shapes.
Area (figure) = Area (parallelogram) + Area (rectangle) + Area (triangle)
10 x 4 + 8 x 6 + 1/2 x 6 x 240 + 48 + 688 + 694 square centimetersHelp I suck at this Please Help Me!
By using partial products to multiply, 52 × 6 is 312
Multiplying using partial productsFrom the question, we are to use partial products to multiply 52 × 6
The partial multiplication is shown below
5 2
× 6
300 6 × 5 tens (That is, 6 × 5 × 10 = 300)
+ 12 6 × 2 ones (That is, 6 × 2 × 1 = 12)
312
Hence, by using partial products to multiply, 52 × 6 is 312
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A bake sale successfully sells all of its food items over two hours. Which of the following graphs could represent this situation? A. B. C. D.
Answer:
it's c
Step-by-step explanation:
Answer: it is c
Step-by-step explanation:
i took the test it was right<3
brainiest please and thx :)
What is the valuAt which integer value of x are the functions y = 1 2 x + 12 and y = ( 1 4 ) x closest to being equal? A. –2 B. 12 C. 11 D. –1e of x in this triangle? 18493 A. 30 B. 45 C. 90 D. 60
The closest integer value of x where both functions are equal is 1
How to determine the integer value of x?The equations are given as:
y = 12x + 12
y = (14)^x
Next, we plot the graph of both equations.
From the attached graph, both functions intersect at:
x = 1.249
Approximate this value
x = 1
Hence, the closest integer value of x where both functions are equal is 1
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Find the value of x. Round your answer to the nearest tenth
Answer:
15.9
Step-by-step explanation:
Write 6.51 x 10-8 in standard form
Please help :)
There are seven "0"s between the decimal point and the digit "6".
======================================================
Explanation:
The number [tex]6.51 \times 10^{-8}[/tex] is in scientific notation.
The exponent -8 tells us to move the decimal point exactly 8 spots to the left to get the answer 0.0000000651
In other words, we'll move the decimal point one spot to the left to go from 6.51 to 0.651
Then we move it another seven spots to the left to arrive at 0.0000000651
This is why there are seven "0"s between the decimal point and the digit "6".
4. Tyrone needs to save $100 to pay for his trip to
New York. He earns money delivering pizzas.
He has already saved $45.50
He makes $9.25 an hour delivering pizza.
How many hours must Tyrone work to have at least
$100 saved?
Answer:
6 hours
Step-by-step explanation:
Subtract saved amount from required amount :
$100 - $45.50 $54.50Divide by the pay rate :
$54.50 / $9.255.89 ≅ 6Tyrone must work at least 6 hours to have $100 saved.
What is the unfilled volume inside the cylinder? 320π cubic units 597π cubic units 640π cubic units 725π cubic units
The unfilled volume inside the cylinder is determined as 640π cubic units.
Volume of the cylinder
The volume of the cylinder is determined as follows;
V = πr²h
where;
r is radius of the cylinder given as 8 unitsh is height of the cylinder determined as 15 unitsV = π(8²)(15)
V = 960 π cubic units
Volume of coneV = ¹/₃πr²h
where;
r is radius of the cone given as 8 unitsh is slant height of the cone determined as 15 unitsV = ¹/₃π(8)²(15)
V = 320 π cubic units
Unfilled volume of the cylinderΔV = 960 π - 320 π = 640 π cubic units
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Answer:
It’s C
Step-by-step explanation:
i got a 100% on my quiz so trust me
ur wlcm :)
What is the answer please?
Answer:
Alleles because genes come in all different varieties.
I Hope This Helps!!!
In circle J with the measure of minor arc \stackrel{\Large \frown}{HK}=58^{\circ}, HK ⌢ =58 ∘ , find \text{m} \angle HLK.m∠HLK
By applying the central angle property, the measure of angle HLK is equal to 29°.
What is the central angle property?The central angle property states that an inscribed angle is equal to half the measure of a central angle that is subtended by the same arc.
This ultimately implies that, a central angle is double (twice) the measure of an inscribed angle that is subtended by the same arc.
By applying the central angle property, we have:
HK = 2m∠HLK
58 = 2m∠HLK
m∠HLK = 58/2
m∠HLK = 29°.
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8. (06.04 MC)
Find the total surface area of a cylinder with a height of 8 cm and radius of 4 cm. Leave your answer in terms of r. (1 point)
O 80 cm²
96 cm²
128 cm²
192 cm²
The total surface area of the cylinder in terms of π is 96π cm². The correct option is the second option 96π cm²
Calculating Total surface area of a CylinderFrom the question, we are to determine the total surface area of the cylinder
The total surface area of a cylinder can be calculated by using the formula,
T.S.A = 2πr² + 2πrh = 2πr(r +h)
Where r is the radius
and h is the height
From the given information,
h = 8 cm
r = 4 cm
Putting the parameters into the formula, we get
T.S.A = 2π×4(4 +8)
T.S.A = 8π(12)
T.S.A = 96π cm²
Hence, the total surface area of the cylinder in terms of π is 96π cm². The correct option is the second option 96π cm²
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Nineteen years ago Sean was 28 years old. How old is he now?
Which lists contain only rational numbers? Select all that apply.
104
54, 163,
63, 191, 142
F
81, 49
49,11,19
25
V4, V16, 36
36, V64, V100
64,19,781, 14, 121
48
28 , /31, 10, 12
can someone explain the proses of solving this? I don't need the answer but a step-by-step explanation would be super helpful!
Part 1
Focus on triangle ABC.
Since AB is a diameter of the circle, this means angle ACB is 90 degrees. Refer to Thale's Theorem. Or you could use the inscribed angle theorem. Thale's theorem is a special case of the inscribed angle theorem.
Minor arc CB is 48 degrees. Use the inscribed angle theorem to see that angle CAB is 48/2 = 24 degrees.
Therefore, angle CBA = 90 - (angle CAB) = 90 - 24 = 66 degrees
Answer: 66========================================================
Part 2
Inscribed angle CBA was found to be 66 degrees back in part 1.
This doubles to 132 degrees to represent minor arc AC.
Or you could note that:
minor arc AC = 180 - (minor arc CB) = 180 - 48 = 132
Inscribed angle BCD is 48 degrees. This doubles to 96 degrees when using the inscribed angle theorem, and this is the measure of minor arc CBD.
-----------
Here's what we know about the arc measures of the circle
minor arc AC = 132 degreesminor arc CB = 48 degreesminor arc BD = 96 degreesThese three arcs, along with minor arc AD, will add up to get a full 360 degree circle. Check out the diagram below.
Adding those 3 pieces gets us 132+48+96 = 276
This means minor arc AD has to be 360 - 276 = 84 degrees
Then use the inscribed angle theorem one more time to divide the minor arc AD in half to get the inscribed angle ACD
84/2 = 42
Answer: 42help please <33 i’m struggling if anyone sees this please help this girl <3333
Answer:
2 15/28
Step-by-step explanation:
First we will convert both mixed fractions into improper fractions.
5 1/4 becomes 21/4
2 5/7 becomes 19/7
21/4 - 19/7 does not work, so we must make the denominator the same
147/28 - 76/28 = 71/28
Now we convert back to a mixed number:
2 15/28
Answer: [tex]-11\frac{15}{28}[/tex]
Step-by-step explanation:
Convert to Improper fractions
[tex]5\frac{1}{4} = \frac{21}{4} \\2\frac{5}{7} = \frac{19}{7} \\[/tex]
Find a lowest common multiple
lcm(4,7) = 28 (7 * 4)
since they are just multiplying each other, we can cross multiply
[tex]\frac{(21*7) - (19*4)}{4*7} = \frac{147-76}{28} \\= \frac{71}{28} \\=2\frac{15}{28}[/tex]
A square with diagonals is shown. the distance from one point to the middle point is x. the length from the center point to another point is x. the length of a side is 8. the figure is a square. its diagonals meet to form four right angles. what is the approximate value of x? 2.8 units 3.3 units 4.0 units 5.7 units
The approximate value of x in the square that the diagonals meets to form four right angles is 5.7 units
Properties of a square.All the sides are equal.Opposite sides are parallel to each other.The diagonal intersects at right angle.Using Pythagoras theorem the value of x can be found as follows:
c² = a² + b²
where
c = hypotenuse a and b are other legsTherefore,
8² = x² + x²
64 = 2x²
x² = 64 / 2
x = √32
x = 5.65685424949
x = 5.7 units
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Answer: 5.7 units
Step-by-step explanation:
Rational function h is continuous, with a horizontal asymptote at y = 1. which function could be function h?
The function that could be the function h is option A.
What is a Rational Function?This refers to the type of function that can be defined by a rational fraction and contains polynomials.
Hence, we can see that option A is correct because x²+16 never turns 0, and this makes this function continuous and both the numerator and denominator are both polynomials of the second degree.
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Cathy places an ad in the neighborhood newsletter advertising her pet-sitting service. Her fees are listed in the table.
What will Cathy charge to pet sit for 8 days?
A. $67.50
B. $60.00
C. $52.50
D. $45.00
Answer:
B) $60.00
Explanation:
The cost for pet sitting per day (1 day) is $7.50
Then for 8 days, Cost = per day price × number of days = $7.50 × 8 = $60
∴ Cathy charge $60 to pet sit for 8 days.
Take two points
(2,15)(4,30)Slope
m=30-15/4-2m=15/2m=7.5Equation
y-15=7.5(x-2)y=7.5x-15+15y=7.5xSo for 8 days
y=7.5(8)$60.00How large should n be to guarantee that the Simpson's Rule approximation to 1 7ex2 dx 0 is accurate to within 0.0001
We need a maximum enlargement of n = 18 terms in order to guarantee this level of accuracy for Simpon's Rule.
What is the estimation of the accuracy of Simpon's Rule?The estimation of Simpson's rule follows an approach where the value of the definite integral [tex]\int\limits^a_b f{x} \, dx[/tex] is approximated by using a parabolic method of approximation for each subinterval of the interval [a, b].
The formula for calculating Simpon's rule can be expressed as:
[tex]\mathbf{\int ^b_a f(x) d \simeq \dfrac{\Delta x}{3}[y_o+4y_1+2y_2+4y_3+2y_4+...+4{y_{n-1} +y_n}}[/tex]
Given that:
[tex]\mathbf{\int ^1_0 7ex^2 dx }[/tex],
where a = 0, b = 1, [tex]\mathbf{f(x) = 7 e^{x^2}}[/tex]We need to determine the fourth derivative; i.e.
[tex]\mathbf{f'(x) = 14xe^{x^2}}[/tex]
[tex]\mathbf{f''(x) = 14ex^2 +28x^2e^{x^2} = (14+28x^2)e^{x^2}}[/tex]
[tex]\mathbf{f'''(x) = 56xe^{x^2} +2(14+28x^2)e^{x^2} = (84x+48x^3)e^{x^2}}[/tex]
[tex]\mathbf{f^{iv}(x) = (84+144x^2)e^{x^2} +2x(84x+48x^3)e^{x^2} = (84x+312x^2+96x^4)e^{x^2}}[/tex]
The maximum value of the 4th derivative on the interval [0,1] is:
[tex]\mathbf{f^{iv}(1) = 624e}[/tex] and the error is bounded by:
[tex]\mathbf{\Bigg| \dfrac{f^{iv}(1) (1-0)^5}{180n^4} \Bigg| = \dfrac{624e}{180n^4}=\dfrac{52e}{15n^4}}[/tex]
Now for the error to be less than 0.0001; we have:
[tex]\mathbf{\dfrac{52e}{15n^4} < 0.0001}[/tex]
[tex]\mathbf{52e < 0.0015n^4}[/tex]
[tex]\mathbf{n^4 > \dfrac{52e}{0.0015}}[/tex]
[tex]\mathbf{n > \sqrt[4]{ \dfrac{52e}{0.0015}}}[/tex]
n ≅ 17.52.
Therefore, we can conclude that we need a maximum of n = 18 terms in order to guarantee this level of accuracy for Simpon's Rule.
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14. A bag contains 20 marbles. There are 4 blue
marbles, 10 green marbles, and 6 red marbles.
A marble is randomly selected from the bag. What is the
probability that the marble is red?
Answer:
30%, or 1/3
Step-by-step explanation:
If there are 20 total marbles, and 6 of them are red, to find the probability of pulling a red marble you would do 6/20, which simplifies to 1/3. This can also be written as 30%.
Hope this helps! :)
How many 90° turns will the minute hand make between 9:00 and 10:00?
Answer:
It will make 4 90° turns, because each 1/4 turn or 15 minutes is 90°.
How many integers are between the numbers a = - 6.52 and b = 6.98?
Answer:
-13.5
Step-by-step explanation:
-6.52-6.98=-13.5
12
What is the slope of the line that passes through the points (2, 3) and (8, 6)?
Answer:
Here is the ans...hope it helps
Find the area of a rectangle with a length of 3 feet and a width of 2 7/8 feet
Answer:
8.625 or 8 5/8
Step-by-step explanation:
to find area you multiply length times width.
first, change 2 7/8 to an improper fraction to make multiplying easier. 2 7/8= 23/8.
then, multiply 3/1 (or 3) by 23/8. multiply across to get 69/8. Simplify the fraction to get 8 5/8 or 8.625.
PLS HELP eixosixosdkkzk
The value of the trigonometry equation (sin 60)(cos 30)+(cos 60)(sin 30) is sin (60+30). Option J is correct.
What is the formula of sum of sin (a+b)?The formula of sum of sin (a+b) is the trigonometry identity which is used to solve and simplify the problem based on trigonometry equation.
The formula of sum of sin (a+b),
Sin(A+B)=(sin A)(cos B)+(cos A)(sin B)
Here, (A and B) are the measure of angles.
The trigonometry equation given in the problem is,
(sin 60)(cos 30)+(cos 60)(sin 30)
Compare this expression with the above formula we get,
A=60
B=30
Thus, the value of the given expression is,
(sin 60)(cos 30)+(cos 60)(sin 30)=sin (60+30)
Thus, the value of the trigonometry equation (sin 60)(cos 30)+(cos 60)(sin 30) is sin (60+30). Option J is correct.
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the function f(x)= -x3 - 7x2 - 7x + 15 has zeros located at -5, -3, 1. verify the zeros of f(x) and explain how you verified them. describe the end behavior of the
function
The polynomial f(x)= -x³ - 7x² - 7x + 15 has zeros located at -5, -3, 1 because f(-5) = f(-3) = f(1) = 0
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The function f(x)= -x³ - 7x² - 7x + 15 has zeros located at -5, -3, 1, hence:
f(-5) = -(-5)³ - 7(-5)² - 7(-5) + 15 = 0
f(-3) = -(-3)³ - 7(-3)² - 7(-3) + 15 = 0
f(1) = -(1)³ - 7(1)² - 7(1) + 15 = 0
The polynomial f(x)= -x³ - 7x² - 7x + 15 has zeros located at -5, -3, 1 because f(-5) = f(-3) = f(1) = 0
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