Answer:
Step-by-step explanation:
4/5
A catapult launches a boulder with an upward velocity of 120 ft/s. The height of the boulder, h, in feet after t seconds is given by the function h = -16t^2 + 120t + 10. How long does it take to reach maximum height? What is the boulder's maximum height? What is the boulder's maximum height? Round to the nearest hundredth, if necessary.
Answer:
See below in bold.
Step-by-step explanation:
h = -16t^2 + 120t + 10
To find the height and time for maximum we convert to vertex form:
h = -16(t^2 - 7.5t) + 10
h = -16 [(t - 3.75)^2 - 14.0625] + 10
h = -16(t - 3.75)^2 + 225 + 10
h = -16(t - 3.75)^2 + 235
So the time to reach maximum height is 3.75 seconds and the maximum height = 235 ft.
Make x the subject:
y = 6x-7 / 3x-8
Answer:
I. x=y-7
6
Step-by-step explanation:
y=6x-7
6x-7=y
6x=y-7
6x=y-7
6. 6
x=y-7
6
Answer:
x = [tex]\frac{8y-7}{3y-6}[/tex]
Step-by-step explanation:
Given
y = [tex]\frac{6x-7}{3x-8}[/tex] ( multiply both sides by 3x - 8 )
y(3x - 8) = 6x - 7 ← distribute left side
3xy - 8y = 6x - 7 ( subtract 6x from both sides )
3xy - 6x - 8y = - 7 ( add 8y to both sides )
3xy - 6x = 8y - 7 ← factor out x from each term on the left
x(3y - 6) = 8y - 7 ← divide both sides by (3y - 6)
x = [tex]\frac{8y-7}{3y-6}[/tex]
what’s 38,000 * 16 please help me
Answer:
608,000
Step-by-step explanation:
Using the following image, solve for x
Step-by-step explanation:
Vertical angles are always equal
4+6x= 70°
6x =70-4 = 66°
x= 11°
We know the angles have a vertical angle and we know that vertices angle are Intercept lines.
Let's set up the equation.
[tex]4+6x=70[/tex]
We will subtract 4 from both sides and get
[tex]6x=66[/tex]
Divide by 6 on both sides
[tex]x=11[/tex]
HELP PLEASE!!
Given: Isosceles triangle ABC with vertex angle A, equal sides AB and AC, and an angle bisector, BD.
side = 1
angle = 36
BC has a length of 1. To the nearest tenth of a unit, find the lengths of the missing sides.
BD = __ units
AD = __ units
AB = __ units
AC = __ units
Answer:
BD = 1 unit
AD = 1 unit
AB = 1.6 units
AC = 1.6 units
Step-by-step explanation:
In the picture attached, the triangle ABC is shown.
Given that triangle ABC is isosceles, then ∠B = ∠C
∠A + ∠B + ∠C = 180°
36° + 2∠B = 180°
∠B = (180° - 36°)/2
∠B = ∠C = 72°
From Law of Sines:
sin(∠A)/BC = sin(∠B)/AC = sin(∠C)/AB
(Remember that BC is 1 unit long)
AB = AC = sin(72°)/sin(36°) = 1.6
In triangle ABD, ∠B = 72°/2 = 36°, then:
∠A + ∠B + ∠D = 180°
36° + 36° + ∠D = 180°
∠D = 180° - 36° - 36° = 108°
From Law of Sines:
sin(∠A)/BD = sin(∠B)/AD = sin(∠D)/AB
(now ∠A = ∠B)
BD = AD = sin(∠A)*AB/sin(∠D)
BD = AD = sin(36°)*1.6/sin(108°) = 1
At the top hat dance studio, classes cost $20 for 5/6 of an hour. What is the hourly rate
Answer:
I would say $24?
Step-by-step explanation:
20/5=4
20+4=24
This is because $20 is for 5/6 of an hour, $24 would be for the entire hour.
Answer: its 24
Step-by-step explanation:
i have confirmed!!
b) A fruit seller bought some mangoes for Rs 500. He sold them at 10% loss. If he wants to make a profit of 12.5% without increasing the selling price, by how much should the cost price of the mangoes be reduced?
Answer:
New CP = Rs 387.5
Step-by-step explanation:
Cost Price = Rs. 500
Loss %age = 10% of 500
So, Loss = Rs 50
Finding the selling price:
Selling Price = CP - Loss
SP = 500 - 50
SP = Rs 450
Now, The fruit seller wants to gain a profit of 12.5% without changing the selling Price:
Firstly, Let's talk about the Profit :
Profit %age = 12.5% of 500
Profit = 12.5 * 5
Profit = Rs 62.5
He wants to gain a profit of Rs 62.5
So, The cost Price
The cost price would be reduced by Rs 62.5
New CP = 450 - 62.5
New CP = Rs 387.5
[ matrix 4&2 matrix ]*[ matrix -2&5\\ 7&-1 matrix ]
Step-by-step explanation:
[4 2] ×[-2/7 5/-1]
[4×(-2)+4×5/4×7+4×(-1) 2×(-2)+2×5/2×7+2×(-1)]
[-8+20/28+(-4) -4+10/14+(-2)]
[12/24 6/12]
I’m confused :( I will mark as Brainliest and give you points
Answer:
123.5 square inches
Step-by-step explanation:
Given: To find the area of a rectangle, you have to multiply base times height.
To find the area of a triangle, you have to do base times height devided by 2.
Finding the area: Let's break up this shape into polygons. At the bottom there is a rectangle. We know that to find the area of the rectangle you have to do base times height. 13in•7in will give you 91in square for the rectangle.
Now for the triangle. If you can see, if you break the triangle in half, there are 2 right triangles. Let's look at the right one for now. Since we know that to find the area of a triangle you have to do base times height divided by 2, you do 5in•6.5in=32.5in. 32.5in divided by 2 is 16.25in square which is the area of one triangle. You might be wondering why i did 5•6.5, and that's because at the bottom of the rectangle you can see it's 13in, and 13in÷2=6.5in.
We already found the area of the rectangle and one triangle. The other triangle is equal to it so we can just do 16.25+16.25=32.5in square for both of the triangles.
Now we add it all up: 32.5+91=123.5 square inches
Quadrilateral ABCD has coordinates A (3, 1), B (4, 4), C (7, 5), D (6, 2). Quadrilateral ABCD is a
Answer:
Rhombus
I hope I helped!!!
Please make me brainliest
Which is the constant term in the equation given in standard from 5x+3y=15
Answer:
15
Step-by-step explanation:
The constant is the term without the variable
5x+3y=15
15 is the constant
What can you determine from the bar graph shown? *WOULD MARK BRAINLIEST IF IK HOW TO THO
Answer:
fall dance cost more money?
Step-by-step explanation:
How much would 1 case of each fruit cost together? Grid in tori answer as dollars.cents
Answer:
35.00
Step-by-step explanation:
4a+8p=220
2a+5p=130
if we want to add them we must multiply the 2nd equation by -2
4a+8=220
-4a-10p=-260
0=20
after plugging 20 in, the apples should cost 15
15+20=35
you don't have to answer number 15. but pls answer the rest!
is 3kg equal to less than or greater than 3,000
there are more in the picture pls help ASP
BEST ANSWER GETS BRAINLESST AND FOLLOW ASP HURRY!!
Answer:
13) >
14)=
15)>
16)=
17)>
18)<
Step-by-step explanation:
QUICK!!!!! Which question is best modeled with a division expression?
A: How much does it cost to buy 3 and one-half pounds of apples at $2 per pound?
B: How many apples are needed for 2 pies if the recipe uses 3 and one-half apples per pie?
C: How many more apples are needed if a recipe uses 3 and one-half apples and you only have 2 apples?
D: How many apples are in each pie if a total of 3 and one-half apples were used to bake 2 pies?
Answer:
D
Step-by-step explanation:
[tex]\frac{2}{3.5}[/tex]
Which is about .57
T&L - Math 7 - Volume 7.4 -19-20
Directions: Type your answer in the box below
A cube with an edge length of 8 must be filled completely. How many cubic centimeters will
be needed? Type your answer in the box
The diameter and height of a cylindrical container are shown.
Answer: You would need 512 cubic centimetres
Step-by-step explanation: The first approach to this question would be to understand the properties of the shape given in the question.
If a cube has an edge with length 8 cm, then all edges measure 8 cm as well. That is one property of a cube. Hence, the length, width and height all measure 8 cm each.
The volume of a cube is given as follows;
V = L x W x H (and the answer is expressed as V³)
Since the length , width and height all measure 8 cm, the volume can simply be expressed as
V = L x L x L
V = L³
V = 8³
V = 512 cm³
Therefore to completely fill a cube with edge length of 8 cm you would need 512 cubic centimetres.
What is the value of x in the equation -2.4x = 8.4?
-20.16
-3.5
3.5
20.16
Answer:
Step-by-step explanation:
x = 8.4/-2.4 = -84/24 = -3.5
The value of x in the equation is -3.5.
What is the value of x?
Division is the process of parting a number into equal parts using another number. The sign used to denote division is ÷.
In order to determine the value of x, divide 8.4 by -2.4
x = 8.4 / -3.5 = -3.5
To learn more about division, please check: https://brainly.com/question/13281206
The larger triangle is the image of the smaller triangle after a dilation. The center of the dilation is (−2,−2). Two triangles are graphed on a coordinate plane. The horizontal x-axis ranges from negative 10 to 10 in increments of 1. The vertical y-axis ranges from negative 10 to 10 in increments of 1. A dashed triangle has vertices at begin ordered pair negative 2 comma 7 end ordered pair, begin ordered pair 7 comma negative 2 end ordered pair, and begin ordered pair negative 2 comma negative 2 end ordered pair. A solid triangle has vertices at begin ordered pair negative 2 comma negative 5 end ordered pair, begin ordered pair negative 5 comma negative 2 end ordered pair, and begin ordered pair negative 2 comma negative 2 end ordered pair. What is the scale factor used to create the dilation? Enter your answer in the box.
Answer:
CORRECT answer is -3
Step-by-step explanation:
I need help on this.
Answer:
14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
hopefully this helps
Log4x=0 in fraction form showing work. Help
Please help with this
Answer:
C is correct
Step-by-step explanation:
1 and 2 add up to 90,
so does 3 and 4
What are the missing amounts in this statement.
20% of $30= 40% of $____
Pls help me
Answer:
Step-by-step explanation:
20% of $30 = 40% of x
0.20 * 30 = 0.40 * x
[tex]\frac{0.2}{0.4}*30=x\\[/tex]
x = 15
The diagram shows a circle centre O work out the size of angle X work out the size of angle y
Answer:
x = 116° , y = 20°
Step-by-step explanation:
The angles are x = 116° & y = 20°
what is the circle theorem?When two angles are subtended by the same arc, the angle at the centre of a circle is twice the angle at the circumference i.e ∠O=2∠A
let the Points on the circumference be A,B,C then we have two traingles namely ΔABC & ΔOBC.
Given here ∠A=58°
therefore, by the circle theorem we get ∠O=116°
Again in ΔOBC it is a isosceles triangle with its two sides equal to the radius of the circle, so ∠OBC = ∠OCB
∠OCB +∠OBC+∠BOC=180°
2 ∠OBC=180°-116°
2 ∠OBC=64°
∠OBC=32°
Again, in ΔABC ∠C = 32° + 38° = 70° & ∠B= y +32°
therefore, y + 32° + 70° + 58° = 180°
y= 20°
Hence, the angles are x = 116° & y = 20°
Learn more about the circle theorem:
https://brainly.com/question/19906313
#SPJ5
Which of the following points represents the center of a circle whose
equation is (x-3)2 + (y-2)2 = 16?
A. (3,-2)
B. (3, 2)
C. (-3,-2)
D. (-3, 2)
Answer: it’s (3,2)
Step-by-step explanation:
how do you solve the height?
Answer:
If you know the base and area of the triangle, you can divide the base by 2, then divide that by the area to find the height. To find the height of an equilateral triangle, use the Pythagorean Theorem, a^2 + b^2 = c^2.
\frac{h^{2}-1 }{h+3} when h=5
Answer:
3
Step-by-step explanation:
[tex]\frac{h^{2}-1 }{h+3}[/tex]=
[tex]\frac{5^{2}-1 }{5+3}[/tex]=
[tex]\frac{25-1}{8}[/tex]=
[tex]\frac{24}{8}[/tex]=
3
The area of a triangle is 30 square inches. The base of the triangle is 10
in. What is the height of the triangle? *
I will mark as Brainliest and give extra points help
Answer:
6 inches
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base and h is the height
30 = 1/2 (10) h
30 = 5h
Divide each side by 5
30/5 = 5h/5
6 = h
Answer:
Step-by-step explanation:
we know area of a triangle = 1/2 * base * height
1/2*10* height = 30
5* height =30
height = 30/5 = 6inches
hope it helps
Bob and Sally's mortgage payment increases to $1632.00. Their roof starts to leak and they need to replace it. They budget $500 per month (replace the old student loan charge with roof expense).
Answer:
List of expenses is attached below.
Total Income = $160 + $6245 = $6405
1) Do Bob and Sally have a surplus or deficit?As mortgage payment has increased, we replace $1580 with $1632 in the table
Replace student loans with roof expense, we replace $544 with $500 in the table.
Find Total Expenses by adding all the values from the table.
Total Expenses = $6660.17
Total Income =$6405
They have a deficit
2) By how much?Deficit = $6660.17 - $6405 = $255.17
Deficit = $255.17
3) They decide to stop putting money in savings. How much their balance be?Savings = 10% of income = 10% OF $6405
Savings = (10/100)· $6405 = $640.5
New total expenses = $6660.17 - $640.5
New total expenses = $6019.67
Balance = Total income - New total expenses = $6405 - $6019.67
Balance = $295.33
4) Do you agree with them removing the savings to create surplus?
Yes, they had to remove the savings to fulfill their expenditures. Otherwise, they would have been spending more than their income, which couldn't last very long
f(x) = x^2 – (x + 3), what is the value of f(8)
Answer:
53
Step-by-step explanation:
f(x) = x^2 – (x + 3)
Let x = 8
f(8) = 8^2 – (8 + 3)
=64 - (11)
=53
What is the value of 2x3+12-13
Answer:
5
Step-by-step explanation:
According to PEMDAS the answer is five.
2x3+12-13
6+12-13
18-13
5
