Answer:
33 blocks
Step-by-step explanation:
Given the length , breath and height for small block 6cm, 4cm, and 2cm an d for large 2m = 200cm, 4cm and 2cm.
volume is given by
V = Length x breath x height
Volume of small block = 6 x 4 x 2 = 48 cm^3
Volume of big block = 200 x 4 x 2 = 1600 cm^
No of blocks = Volume of big block/ volume of small block
= 1600/48
= 33.33
Therefore no of blocks formed = 33
Jennifer serves the volleyball to Marsha with an upward velocity of 10.5 ft/s. The ball is 5 feet above the ground when she strikes it. How long does Marsha have to
react, before the volleyball hits the ground? Round your answer to two decimal
Answer:
0.98 seconds
Step-by-step explanation:
We assume the height of the volleyball is described by the equation for ballistic motion. We want to find the time it takes for the height to become zero.
__
motion equationThe general form of the equation of height for ballistic motion is ...
[tex]h(t)=-16t^2+v_0t+h_0\qquad\text{$v_0$ and $h_0$ are the initial velocity and height}[/tex]
The coefficient 16 in the equation is an approximation of 1/2g, where g is the acceleration due to gravity in ft/s². This means the units of time and distance are expected to be seconds and feet.
For the problem at hand, the initial velocity and height are 10.5 ft/s and 5 ft. Then the height equation is ...
h(t) = -16t² +10.5t +5
__
reaction timeMarsha has until the ball hits the ground to react to the serve. To find out how long that is, we need to solve the height equation for t when h=0. This is most easily done using the quadratic formula with ...
a = -16b = 10.5c = 5The solution is ...
[tex]t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}= \dfrac{-10.5\pm\sqrt{10.5^2-4(-16)(5)}}{2(-16)}\\\\=\dfrac{10.5\pm\sqrt{430.25}}{32}=\dfrac{21\pm\sqrt{1721}}{64}[/tex]
The positive solution is ...
t ≈ 0.976327 ≈ 0.98
Marsha has about 0.98 seconds to react before the volleyball hits the ground.
_____
Additional comment
After about 0.33 seconds, Marsha knows she doesn't need to react at all. The serve will not clear the net. Its maximum height is about 6' 8 5/8". A women's volleyball net is 7' 4 1/8" high. Jennifer's serve velocity must be at least 12.3 ft/s for the ball to go over the net. With that upward velocity, Marsha has about 1.06 seconds to react.
please help i need it
Answer:
[tex]4\frac{7}{8}[/tex]
Step-by-step explanation:
The three heaviest eggs are between [tex]1\frac{1}{2}[/tex] and [tex]1 \frac{3}{4}[/tex]
[tex]1\frac{1}{2} +1 \frac{3}{4}/2[/tex][tex]1+1+\frac{2}{4}+\frac{3}{4}/2[/tex][tex]2\frac{5}{4}/2[/tex][tex]1\frac{5}{8}[/tex][tex]1\frac{5}{8}*3=\frac{13}{8}*3=\frac{39}{8} = 4\frac{7}{8}[/tex]Hope this helps and please feel free to comment, ask questions, give feedback, and correct me if I am wrong!
Have a great day!
:)
A cube's edge lengths are each 5 inches. A rectangular prism's length and width are also 5 inches, but its height is 7
1
2
inches.
How many cubic inches larger is the rectangular prism than the cube?
The rectangular prism is 187.5 - 125 = 62.5 cu.inches greater than the volume of cube.
What is Volume?Volume is defined as the space occupied by a three dimensional figure.
It is given that
A cube's edge lengths are each 5 inches
A rectangular prism's length and width are also 5 inches, but its height is [tex]\rm 7\dfrac{1}{2}[/tex]
The volume of the cube is given by side * side * side
Volume of cube = 5 *5 * 5 = 125 cu. inches
The volume of cuboid = length * width * height
Volume of Cuboid = 5 * 5 * 15/2Volume of Cuboid = 187.5 cu.inches.
Therefore the rectangular prism is 187.5 - 125 = 62.5 cu.inches greater than the volume of cube.
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Is 35 cm greater than 3.5 m
Answer:
no
Step-by-step explanation:
3.5m=350cm
35cm<350cm
11.85 is 75% of what number
Answer:
20.14
Step-by-step explanation:
so to find it i added 75% to 11.85 so 11.85 + 75% = 20.14
Hope This Helped
Answer:
15.8
Step-by-step explanation:
11.85/75 = x/100
x = 15.8
11.85 is 75% of 15.8
Brainliest please!
hope this helps :)
How many 5-digit numbers are there, that are "even"? Show all work/ calculations.
Answer: The correct answer is 13776.
Explanation: There are 3024 five-digit numbers that begin with the digit 4 with no repetition.
Suppose that you have a square pyramid like the one pictured. Which plane section will produce a triangle? Question 6 options: A) A cut parallel to the vertical axis, directly through the vertical axis B) A cut parallel to the vertical axis, but off the vertical axis C) A cross section cut parallel with the bottom D) Cutting off one of the bottom corners
The plane that would produce a triangle is A, a cut parallel to the vertical axis, directly through the vertical axis.
What is a squared pyramid?
A square pyramid is a geometric shape having four triangles, five faces and a square.
Properties of a squared pyramidIt has a five bases It has four or greater equilateral triangular faces meeting above the baseAll the edges, sides and angles are equalSince the sides are equal, cutting parallel to the vertical axis forms a triangle.
Therefore, a cut parallel to the vertical axis, directly through the vertical axis would produce a triangle.
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Karl wants to rent a bike for at most $55. He can rent a bike for $7 per hour plus a $9.50 flat fee. Any portion of an hour is charged as a full hour.
What is the maximum number of hours Karl can Rent the bike?
What number would you add to both sides of x² + 7x = 4 to complete the square?
Answers:
A. 2²
B. 7²
C. 7²/2
D. [⁷/2]²
The number would you add to both sides of x² + 7x = 4 to complete the square option C 7²/2.
What is completing the squares method for solving the quadratic method?Suppose the considered quadratic equation is of the form
ax^2 + bx + c = 0
Then, completing the squares method tries to make a squared term in terms of x in the left side, so that x comes in linear form, instead of quadratic.
The given quadratic equation is
x² + 7x = 4
add 7²/2 to both sides of x² + 7x = 4 to complete the square
7²/2 = 49/4
x² + 7x + 49/4 = 4+ 49/4
(x + 7/2)² = 4+ 49/4
Thus, option C 7²/2 is correct.
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PLEASE PLEASE HELP
An archer makes two attempts to hit a target, and the probability that he hits the target on any one attempt is 1/7.
What is the probability that the archer will miss the target on both attempts?
A. 1/49
B. 48/49
C. 6/7
D. 36/49
Answer:
The answer would be D.
Step-by-step explanation:
If there is a 1/7 chance that the archer will hit it, there is a 6/7 chance he/she wont. 6/7 times 6/7 is equal to 36/49, getting you your answer of D. I hope this helps! :)
make c the subject v=c/4-5
Answer:
c = -v
Step-by-step explanation:
v = [tex]\frac{c}{4-5}[/tex]
v = [tex]\frac{c}{-1}[/tex]
v = -c (anything divided by -1 is the negative itself)
c= -v
Hope this helped and brainliest please
Find the value of x in the diagram below. x =
Answer:
x=101
Step-by-step explanation:
Fun angles......................
Answer:
x = 79°
Step-by-step explanation:
The arrows on the line segments indicate that the lines are parallel.
As the parallel line segments are the same length, the other pair of opposite line segments are also parallel and the same length. Therefore, we can apply the Alternate Interior Angles Theorem.
Alternate Interior Angles Theorem
If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.
Therefore, the missing angle in the triangle including angle x is 28°.
Interior angles of a triangle sum to 180°
⇒ 73° + 28° + x = 180°
⇒ x = 180° - 73° - 28°
⇒ x = 79°
A rectangular parking lot has a length that is 5 yards greater than the width the area of the parking lot is 300 yd.² find the length and width
Answer:
width=5yd and length=10yd
Step-by-step explanation:
To solve this problem, you need to start by asking what you do and don't know (always where to start with word problems)
We know that Area (A) = Length (L) * Width (W)
You know Area (A) = 50 sq. yds.
You don't know anything about the width, so let's just say Width (W) = x
And you know that the length is 5 yds longer than the width, so L = W + 5yd and, since W = x, we can say L = x + 5yd
Now, we recall that A = L * W, and, since A = 50, we can say 50 sq yd = L * W.
Well, now just plug in. What does W equal and L equal?
From above we plug in and can say that 50 sq yd = x * (x + 5 yd).
Multiply it out and you get 50 = x^2 + 5x (removing units for a moment so they don't clutter the lines).
Now there are a number of ways to solve this. You can tell (because of the "x^2") that it is quadratic. So let's get it equal to zero:
0 = x^2 + 5x - 50
Now you can factor it, use your quadratic formula, or (if you hated yourself) do it as a completing the square problem. I'm going to factor.
I can see from going through a list in my head that the factors 10 and -5 multiply to -50 and add to 5, so I know that
0 = x^2 + 5x - 50 = (x + 10)(x - 5)
And so you know that x = -10 or 5.
Well, you know the parking lot cannot be -10 yd long. So we must say that W = x = 5, and, since L = W + 5, then L = 5+5 = 10. So your width is 5 yd and length is 10 yd.
mark me brainlistA city has 5 new houses for every 9 old houses. If there are 35 new houses in the city, how many old houses are there?
Answer:
20 I guess
Step-by-step explanation:
because maybe 1 is 9
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
Answer:
x>3
Step-by-step explanation:
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
Which expression is equivalent to the given expression
Answer:
i think the answer is A. 2x^3y^2
4. PLEASE HELP!!!!!!
You have a cup with 17 coins inside. The total inside the cup is $5.50. Determine how many half dollars and quarters are inside the cup. Use a system of equations. Be sure to define the variables and show all work.
The number of half dollars coins are 5 and the number of the quarters dollars coins are 12.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
You have a cup with 17 coins inside.
The total inside the cup is $5.50.
Let x be the number of half dollars and y be the number of the quarters dollars.
Then the equations will be
x + y = 17 ............1
0.5x + 0.25y = 5.5 ...........2
By solving equations 1 and 2, we have
x = 5 and y = 12
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Help please ………………….
Answer:
Step-by-step explanation:
7 of 10
Work out
(1.5 × 10¹⁰) ÷ (3 × 10-4)
Give your answer in standard form.
Answer:
5 × 10¹³
Step-by-step explanation:
(1.5 × 10¹⁰) ÷ (3 × 10⁻⁴) = 50,000,000,000,000
Write a rule to describe the transformation.
Step-by-step explanation:
The function translation / transformation rules: f (x) + b shifts the function b units upward. f (x) − b shifts the function b units downward. f (x + b) shifts the function b units to the left
3p+6
Which phrase represents the algebraic expression 7p-9?
Answer:
The answer is the sum of three times a number and six, divided by the difference of seven times the number and nine
Step-by-step explanation:
3p = three x a number
7p = seven x a number
3p+6 = sum of three x a number plus six
7p-9 = difference of seven x the number minus nine
(3p+6)/(7p-9) = sum of three times x number plus six, divided by the difference of seven x the number - nine
Which of the
following ordered
pairs make this
equation true?
Answer:
D. (2, 3)
Step-by-step explanation:
The equation will be true when the values of x and y are substituted and the result matches what you know about sums.
__
The values in each ordered pair are (x, y).
A.x = -2, y = -3
Substituted into the equation, we get ...
-3 = -2 +1 . . . . . . false
__
B.x = 5, y = 4
Substituted into the equation, we get ...
4 = 5 +1 . . . . . . false
__
C.x = 0, y = -1
Substituted into the equation, we get ...
-1 = 0 +1 . . . . . . false
__
D.x = 2, y = 3
Substituted into the equation, we get ...
3 = 2 +1 . . . . . . true
james got 19 questions right on a math test. These questions made up 76% of the test.How many questions were there on the test?
Answer:
25 Questions.
Explanation:
Original or full is always 100%
Mentioned:
76% ⇒ 19
=========
1% ⇒ (19 ÷ 76) = 0.25
Solve for Total:
100% ⇒ 0.25 × 100 = 25
Find a coterminal angle between 0° and 360°.
780
for an angle of 780°, we can say that is really a 360° + 360° + 60°, so two full revolutions plus an extra 60°. Check the picture below, with the coterminal in green.
Question 3
Points 2
Answered On: 06/15/2022 09:40 AM
A boa constrictor slithers 1/3 feet in 3/4 second. What is its speed in terms of
feet per second?
Reset
Reset
comp
Answer:
18 inches = 1.5 feet
8 inches = 2/3 foot
y = 1.5 + (2/3)x
The lines below are parallel. If the slope of the green line is -3, what is the slope of the red line?
Answer:
The lines would be equal, meaning the slope of the red line is also -3.
Step-by-step explanation:
SIMPLE:
Parallel lines have the same slope.
Find the area of this triangle.
Answer:
120 ft²
Step-by-step explanation:
The formula to find the area of a triangle is :
Area = [tex]\frac{1}{2}[/tex] × base × height
Given that,
base ⇒ 30 ft
height ⇒ 8 ft
Let us solve it now.
Area = [tex]\frac{1}{2}[/tex] × base × height
Area = [tex]\frac{1}{2}[/tex] × 30 ft × 8 ft
Area = [tex]\frac{1}{2}[/tex] × 240 ft²
Area = 120 ft²
In this question we are provided with the base and height of a triangle. We are asked to calculate the area of the triangle.
Base = 30 feet
Height = 8 feet
We know,
[tex] \large \star \: \small\boxed{ \rm{ Area_{(triangle)} = \dfrac{1}{2} × b × h}}[/tex]
Where,
b stand for baseh stand for heightSubstituting the values we get
[tex] \small\sf{ Area_{(triangle)} = \dfrac{1}{ \cancel{2}} × 30 × \cancel{8} \: \: 4}[/tex]
[tex] \longmapsto \small\rm Area_{(triangle)} = 30 × 4[/tex]
[tex] \small \underline{ \boxed{\sf {Area_{(triangle)} =120 \: {feet}^{2} }}}[/tex]
Hence,the area of the triangle is 120 feet².
[tex]\underline{\rule{71mm}{3pt}}[/tex]
Consider a triangle ABC like the one below. Suppose that a = 31, b = 23, and c = 20. (The figure is not drawn to scale.) Solve the triangle. Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth. If there is more than one solution, use the button labeled "or".
The solution to the triangle is A = 92.0, B = 47.9 and C = 40.1
How to solve the triangle?The figure is not given;
However, the question can still be solved without it
The given parameters are:
a = 31, b = 23, and c = 20
Calculate angle A using the following law of cosine
a² = b² + c² - 2bc * cos(A)
So, we have:
31² = 23² + 20² - 2 * 23 * 20 * cos(A)
Evaluate
961 = 929 - 920 * cos(A)
Subtract 929 from both sides
32 =- 920 * cos(A)
Divide both sides by -920
cos(A) = -0.0348
Take the arc cos of both sides
A = 92.0
Calculate angle B using the following law of sine
a/sin(A) = b/sin(B)
So, we have:
31/sin(92) = 23/sin(B)
This gives
31.0189 = 23/sin(B)
Rewrite as:
sin(B) =23/31.0189
Evaluate
sin(B) =0.7415
Take arc sin of both sides
B = 47.9
Calculate angle C using:
C = 180 - 92.0 - 47.9
Evaluate
C = 40.1
Hence, the solution to the triangle is A = 92.0, B = 47.9 and C = 40.1
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the function f and g are defined follows. f(x)= x+6/x^2-12x+36 g(x) = x+7/x^2-49 for each function, find the domain. write each answer as an interval or union of intervals
Domain of f(x) is {x | x ≠ 6} and Domain of g(x) is {x | x ≠ +7 and x ≠ +7}.
How to find the domain of a function?The domain of a function is the set of all input values that make the function possible.
Now, for f(x) = (x + 6)/(x² - 12x + 36)
To find the domain, we equate the denominator to zero to find the numbers that can't be a domain. Thus;
x² - 12x + 36 = 0
Solving this using quadratic formula gives; x = 6. Thus, domain of f(x) is;
Domain = {x | x ≠ 6}
Now, for g(x) = (x + 7)/(x² - 49)
To find the domain, we equate the denominator to zero to find the numbers that can't be a domain. Thus;
x² - 49 = 0
Solving this using quadratic formula gives; x = +7 or -7. Thus, domain of g(x) is; Domain = {x | x ≠ +7 and x ≠ +7}
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Find the slope
Will mark brainlist
Answer:
2/3
Step-by-step explanation: