Answer:
15
Step-by-step explanation:
9/v=27/45 Cross multiply
405=27v Divide by 27 on both sides
15=v
4. A right triangle has legs with lengths of 6 feet and 9 feet. The hypotenuse of the triangle, in feet,
is between:
A. 4 and 5
B. 6 and 9
C. 9 and 10
D. 10 and 11
E. 11 and 13
Answer:
D. 10 and 11
Step-by-step explanation:
This problem would use pythagorean theorem because we're finding the hypotenuse of a right triangle. This is its standard equation:
[tex]a {}^{2} + {b}^{2} = {c}^{2} [/tex]
The legs represent [tex]a[/tex] and [tex]b[/tex] respectively, and [tex]c[/tex] represents the hypotenuse. After plugging in the legs' respective values, the equation looks like this:
[tex]6^{2} + {9}^{2} = {c}^{2} →36 + 81 = {c}^{2} →117 = c^{2} [/tex]
To isolate [tex]c[/tex], you would find the square root of [tex]117[/tex]. In this case, we're just finding which integers[tex] \sqrt{117} [/tex] is between. [tex]\sqrt{100}(=10)[/tex] is the closest integer value below [tex]\sqrt{117}[/tex] and [tex]\sqrt{121}(=11)[/tex] is the closest integer value above [tex]\sqrt{117}[/tex]. So the answer is D. 10 and 11.
Jon is hitting baseballs. When he tosses the ball into the air, his hand is 5 feet above the ground. He hits the ball when is falls back to a height of 4 feet. The height of the ball is given by h(t)=5+25t-16t^2, where t is the time in seconds.
a) How much time will pass before Jon hits the ball? (round to the nearest tenth of a second)
b) What is the time in which the maximum height the ball attains? ( to the nearest hundredth of a second)
Answer: A= 1.60 sec
And I am not sure if B is correct, but I got 14.77 ft.
Step-by-step explanation:
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Jon who is hitting baseballs. When he tosses the ball into the air, his hand is 5 feet above the ground. He hits the ball when is falls back to a height of 4 feet. The height of the ball is given by -
h(t) = 5 + 25t - 16t²
where [t] is the time in seconds.
[A] -
At h = 4ft, we can write -
4 = 5 + 25t - 16t²
- 16t² + 25t + 1 = 0
On solving, we get -
t = 1.602 seconds
[B] -
We have -
h(t) = 5 + 25t - 16t²
For maximum height -
dh/dt = 0
d/dt(5 + 25t - 16t²) = 0
0 + 25 - 32t = 0
32t = 25
t = 25/32
t = 0.79 seconds
Therefore -
t = 1.602 seconds will pass before Jon hits the ball.At t = 0.79 seconds the ball attains maximum height.To solve more questions on Equation Modelling, visit the link below -
brainly.com/question/14441381
#SPJ2
WHat is 9 times 8 times 7 times 6 times 4 times 3 times 2 times 1 divided by 8. First person to answer get a free like and brainly!!!
Answer: ye its 9072
Step-by-step explanation:
A manager at a coffee shop is mixing his own coffee blend. He is using beans from Zimbabwe (z), which have a 1.10% caffeine content, and beans from Costa Rica c which have a 1.35% caffeine content. If he wants to make an 11-pound blend that has a 1.16% caffeine content, which system of equations would allow him to determine how much of each type of bean to include in the blend?
Answer:1.1z+1.35c=1.16(11)
Step-by-step explanation:
I did the test
On a piece of paper, graph y< 3x+2. Then determine which answer choice
matches the graph you drew.
А
B
с
5
5+
(0, 2)
(0.2)
(0, 2)
(0, 2)
(-4,-1)
(-4,-1)
(-4,-1)
(-4,-1)
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
I would say graph a is the correct answer
Step-by-step explanation:
Based on the given inequality of y≥ x - 1, the graph that matches it best is C. Graph A.
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
We know that how are inequalities graphed:
When graphing an inequality with the "greater or equal" and "less or equal" signs, the line will be a steady line as shown by graphs A and B.
If y is the larger or equal variable, the shaded area will be to the left of the line.
The inequality is y≥ x - 1 which means that the line should be steady and the shading should be on the left of the line.
Graph A is therefore the correct graph.
Find out more on graphing inequalities at
brainly.com/question/11234618.
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Write an equation that can be used to answer the question. Then solve. Round to the nearest tenth if necessary.
Answer:
5^2+h^2=12^2, the answer would be ~10.97 ft.
Step-by-step explanation:
I would use the Pythagorean theorem to solve this problem. Put in the things that you know, so in this image we are given one of the legs and the hypotenuse of the triangle.
Pythagorean theorem is :
a^2+b^2=c^2 with a and b being the legs and c being the hypotenuse.
Once you plug in the hypotenuse and one of the legs, solve for the other leg by subtracting a^2 (5^2) from 12^2 (c^2), which will give you 119, and then take the square root of 119 and you will get your answer.
The volume of Cube A is 100 cm3. What is the volume of Cube B given they are similar?
Answer:
50cm
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could someone help me with this?? thanks!
Angie is playing a math game to help her write equations.
The question on the card reads: “One fourth the sum of x and ten is identical to x minus 4.”
Help Angie create the correct equation.
Answer:
Step-by-step explanation:
1/4 ( x+10) = x -4
one fourth the sum of x and 10 is identical to x minus 4
is 35,32,29,26 arithmetic
Answer:
Step-by-step explanation:
Yes, the defining characteristic of an arithmetic sequence is that any term subtracted by the previous term is a constant, called the common difference. In this case the common difference is 32-35=29-32=26-29= -3
how many solutions does 3(x+5) = x+10?
Answer:
one
Step-by-step explanation:
distribute: 3x+15 = x+10
add like terms: 2x = -5
divide: x= -5/2
A rectangular sheet of paper has a perimeter of 60cm. When it is folded in half along its longer line of symmetry, the perimeter of the rectangle which this creates is 49cm. What are the dimensions of the original shape?
Answer:
Dimensions of the original rectangle:
Length = 19 cm
Width = 11 cm
Step-by-step explanation:
Let
Length = x
Width = y
Original rectangle:
2(Length + width) = 60
2x + 2y = 60
New rectangle has same length with original rectangle but half of the width of the original rectangle when folded
Length = x
Width = 1/2y
2(Length + 1/2width) = 49
2x + y = 49
2x + 2y = 60 (1)
2x + y = 49 (2)
Subtract (2) from (1) to eliminate x
2y - y = 60 - 49
y = 11
Substitute y = 11 into (2)
2x + y = 49
2x + 11 = 49
2x = 49 - 11
2x = 38
x = 38/2
x = 19
Dimensions of the original rectangle:
Length = 19 cm
Width = 11 cm
help me i suck at this
Answer:
Area of ACEG is 100
10
Step-by-step explanation:
Pythagorean says CE = EG = AG = AC = 10
Answer:
I think the answer is 100
Step-by-step explanation:
Use the pythagorean theorem to find out the missing side
6^2 plus 8^2 equals 100
The square root of 100 is 10. The lengths of the sides are 10.
10 times 10 is 100.
I hope this helps :)
Help please! Do not answer if you are not going to help me
9514 1404 393
Answer:
12. (x, D, E, F) = (8, 38°, 75°, 67°)
13. (x, P, Q, R) = (13, 126°, 30°, 24°)
Step-by-step explanation:
The sum of angles in a triangle is 180°. We choose to write the equations assuming all measures are degrees.
12. (5x -2) +(9x +3) +(11x -21) = 180
25x = 200 . . . . . . . add 20, simplify
x = 8 . . . . . . . . . divide by 25
Then the angle measures are ...
∠D = 5(8) -2 = 38°
∠E = 9(8) +3 = 75°
∠F = 11(8) -21 = 67°
__
13. (10x -4) +(4x -22) +(x +11) = 180
15x = 195 . . . . . . . . . . add 15, simplify
x = 13 . . . . . . . . . divide by 15
Then the angle measures are ...
∠P = 10(13) -4 = 126°
∠Q = 4(13) -22 = 30°
∠R = 13 +11 = 24°
Work out the volume of this sphere.
Leave your answer in terms of pi
Answer:
Volume of sphere = 36π cm³
Step-by-step explanation:
Given:
Radius of sphere = 3 cm
Find:
Volume of sphere.
Computation:
Volume of sphere = (4/3)πr³
Volume of sphere = (4/3)π(3)³
Volume of sphere = (4/3)π(27)
Volume of sphere = 36π cm³
the approximate number of blood cells B passing through an animal's major artery each millisecond is given by B=17m^((4)/(3))where m is animal's mass in kilograms. Find the number of blood cells passing through a 243 kg bear's major artery each millisecond
Given:
The approximate number of blood cells B passing through an animal's major artery each millisecond is given by
[tex]B=17m^{\frac{4}{3}}[/tex]
Where, m is animal's mass in kilograms.
To find:
The number of blood cells passing through a 243 kg bear's major artery each millisecond.
Solution:
We have,
[tex]B=17m^{\frac{4}{3}}[/tex]
Putting m=243, we get
[tex]B=17(243)^{\frac{4}{3}}[/tex]
[tex]B=17(1516.381107)[/tex]
[tex]B=25778.4788191[/tex]
[tex]B\approx 25778[/tex]
Therefore, the number of blood cells passing through a 243 kg bear's major artery each millisecond is approximately 25,778.
Your shirt drawer contains a different colored shirts that you were over the next eight days what is the probability that you randomly choose the orange shirt to wear today and the red shirt to wear tomorrow
Step-by-step explanation:
four times only......................
A store had a sale on baseball cards, so Percy bought several baseball cards to give as gifts. He gave a total of x cards away to 5 friends. Each friend got 4 baseball cards. Write and solve an equation to figure out how many baseball cards Percy gave away.
Can somebody help me with this question. Will mark brainliest.
Answer: 16/20
Step-by-step explanation:
If ur asking for the sine of angle C
Solve for .
Simplify your answer as much as possible.
A cone has volume 3π.
If the cone’s radius is 1, what is its height?
If the cone’s radius is 2, what is its height?
If the cone’s radius is 5, what is its height?
If the cone’s radius is 12, what is its height?
If the cone's radius in r, then what is the height?
Im so confused on how to start
Answer:
r=1, h=9
r=2, h=2.25
r=5, h=0.36
r=12, h=0.0625
r=r, h=9/r²
Step-by-step explanation:
Volume of a cone = πr²h/3
3π=πr²h/3
r²h=9
when r=1?
r²h=9
1²h=9
h=9
when r=2?
r²h=9
2²h=9
4h=9
h=2.25
when r=5?
r²h=9
5²h=9
25h=9
h=0.36
when r=12?
r²h=9
12²h=9
144h=9
h=0.0625
when r=r?
r²h=9
h=9/r²
The height of a cone is dependent on its radius. The height for a cone radius of 1 is 9.
VolumeVolume is the amount of space that is occupied by a three dimensional object.
The volume of a cone (V) is given by:
V = (1/3)πr²h
Where r is the radius and h is the height.
For a radius of 1:
3π = (1/3)π*(1)² * h
h = 9
For a radius of 2:
3π = (1/3)π*(2)² * h
h = 2.25
For a radius of 5:
3π = (1/3)π*(5)² * h
h = 0.36
For a radius of 12:
3π = (1/3)π*(12)² * h
h = 0.02
The height of a cone is dependent on its radius. The height for a cone radius of 1 is 9.
Find out more on Volume at: https://brainly.com/question/1972490
how do you graph 7x + 2y = -8
Answer:You set it up as y=mx+b
Step-by-step explanation:
Write two fractions that are equivalent to the given fraction.
5/7
Answer:
10/14 25/35
Step-by-step explanation:
For the first one multiply times 2
For the second one multiply times 5
Determina el número de átomos que tiene una
muestra de 0.7 gramos de uranio puro si la
masa de un átomo de uranio es de 4 x 10^-25 kg
Tomando el cociente entre la masa de la muestra y la masa de un átomo, veremos que hay 1.7*10^21 átomos de uranio en la muestra.
¿Como podemos determinar el número de átomos?Para determinar el número de átomos en la muestra, simplemente debemos dividir la masa de la muestra (0.7 gramos) por la masa de un átomo de uranio (4*10^(-25) kg)
Donde la complicación viene por que tenemos distintas unidades.
Para resolver esto, podemos escribir la masa de la muestra en kilogramos.
Sabemos que: 1g = 1*10^-3 kg
Entonces podemos reescribir la masa de la muestra como:
0.7g = (0.7)*(10^-3 kg) = 7*10^-4 kg
Ahora si podemos tomar el cociente, el número de átomos esta dado por:
[tex]N = \frac{7*10^{-4}kg}{4*10^{-25}kg} = 1.7*10^{21}[/tex]
Así podemos concluir que hay 1.7*10^21 átomos de uranio en la muestra.
Sí quieres aprender más sobre átomos, puedes leer:
https://brainly.com/question/16929981
Priya has a recipe for banana bread. She uses 7 1/2 cups of flour to make 5 loaves of banana bread. Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flour.
Q1. How many cups of flour are needed to make 1 loaf of bread?
Answer:
The answer is: One loaf of bread contains one and halve cups of flour.
Answer:
The answer is: One loaf of bread contains one and halve cups of flour.
Step-by-step explanation:
Can anyone explain if these 2 triangles are similar and if so how.
Answer:
yes
Step-by-step explanation:
one is just bigger than the other
the angles are still the same
do 252/448 and 36/64 form a proportion?
Answer:
252/448 and 36/64 form a proportion
Step-by-step explanation:
The easiest way to do this is to let 252/448 = 36/64
Then cross multiply to get 252(64) = 36(448)
16128 = 16128
Since the two products are equal, then 252/448 and 36/64 form a proportion. If the the two products were unequal, then the two fractions would NOT form a proportion.
In 2019, Broward County had a population of about 1.95 million people and covered an area of about 1,210 square miles. What was the approximate population density of Broward County in 2019?
219,45656837198276857689087657
Which table of value is correct for the equation y = - x + 3
Answer:
D
Step-by-step explanation:
the answer for this question
y = - x + 3
A line segment connecting 2 points on the circle and passes through the center?
Answer:
A line segment connecting two points on the circle and going through the center is called a diameter of the circle. Assume that (x,y) are the coordinates of a point on the circle shown. The center is at (h,k) , and the radius is r .
Step-by-step explanation:
Simplify. Use the ^ to show an exponent and the / for the fraction bar.
3x5y3 / 6x2y4 =
Will mark brainliest who answers correct and with explanation step by step