Complete Question
Maggie is rock climbing. After reaching the summit, she descends 14 feet in 213 minutes. If she continues at this rate, where will Maggie be in relation to the summit after 8 minutes?
Answer:
Maggie will be [tex]x = 0.53 \ feet[/tex] from the previous position
Step-by-step explanation:
From the question we are told that
The distance of descent is [tex]d = 14 ft[/tex]
The time taken is [tex]t = 213 \ minutes[/tex]
So she descended 14ft in 213 minutes
So she would descend x ft in 8 minutes
Hence
[tex]x = \frac{14 * 8 }{213}[/tex]
[tex]x = 0.53 \ feet[/tex]
Consider the word grateful. If all of the letters are used, how many ways can the letters he arranged?
Answer:
Step-by-step explanation:
gratefulgrategulfratetareartagrateraggeteataleatelegrugteafategategaegul (idk about his one. it is a scrabble word tho)leateraAnswer:
40320
Step-by-step explanation:
All you have to is take 8 times 7 times 6 times 5 times 4 times 3 times 2 times 1 and you get 40320
solve the inequality 5x + 3 ≥ 48
Answer:
x=9
Step-by-step explanation:
48-3=45
5x=45
45/5=9
The value of x in the given inequality will be equal or smaller than 9,
x ≤ 9
What is an inequality ?A relationship between two expressions or values that are not equal to each other is called inequality.
Given is an inequality 5x + 3 ≥ 48
Solving for x,
5x + 3 ≥ 48
Subtract 3 from both side, that will reverse the sign,
5x ≤ 45
Divide both sides by 5,
x ≤ 9
Hence, the value of x will be equal or smaller than 9, x ≤ 9
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solve for x x^2 -4x +3 =0
answer
1 or 3
explaination
[tex] {x}^{2} - 4x + 3 = 0 \\ using \: factorization \: method \\ ( {x}^{2} - 3)( - x + 3) = 0 \\ x(x - 3) - 1(x - 3) \\ x - 1 = 0 \: orx - 3 = 0 \\ x = 1 \: or \: 3[/tex]
What are the first digits of PI
Answer:
3.14
Step-by-step explanation:
Answer:
Here's the first 200 digits of pi 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819
Step-by-step explanation:
Yeah so I need to know x
Answer:
150°
Step-by-step explanation:
It's opposite angles so we need to do:
Angle F to B = angle G to A
130+20 = 150°
The quadratic equation y=-0.5x+4x+10 models the path of a heavy ball through the air, where y represents the height in feet and x represents time in seconds. When will the ball hit the ground?
We have been given that the quadratic equation [tex]y=-0.5x^2+4x+10[/tex] models the path of a heavy ball through the air, where y represents the height in feet and x represents time in seconds. We are asked to find the time when ball will hit the ground.
The ball will hit the ground, when height of ball above ground will be 0. So we will equate our given quadratic equation with 0 and solve for x.
[tex]-0.5x^2+4x+10=0[/tex]
We will use quadratic formula to solve our given problem.
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex], where
b = Coefficient of x term,
a = Coefficient of [tex]x^2[/tex] term,
c = Constant.
[tex]x=\frac{-4\pm\sqrt{(-4)^2-4(-0.5)(10)}}{2(-0.5)}[/tex]
[tex]x=\frac{-4\pm\sqrt{(16+20}}{-1}[/tex]
[tex]x=\frac{-4\pm\sqrt{36}}{-1}[/tex]
[tex]x=\frac{-4\pm6}{-1}[/tex]
[tex]x=\frac{-4+6}{-1}, x=\frac{-4-6}{-1}[/tex]
[tex]x=\frac{2}{-1}, x=\frac{-10}{-1}[/tex]
[tex]x=-2,x=10[/tex]
Since time cannot be negative, therefore, the ball will hit the ground after 10 seconds.
Can someone help me with this work
Step-by-step explanation:
1) x - 1 = - 11
x = - 11 + 1
x = - 10
2) 9k = 54
k = 54/9
k = 6
3) 14 + r = 16
r = 16 - 14
r = 2
Answer:
X= -10
K= 6
R= 2
Step-by-step explanation:
You first want to isolate the variable and make sure that whatever you do to one side of an inequality or equation you must do to the other.
A cone has a height of 15 cm and a radius of 10 cm. What is the volume?
Answer:
1570.796~
Step-by-step explanation:
v= πr² h/3
r is radius
h is height
v is volume
v=π*10² 15/3
v=π*10² *5
v=π*100 *5
v=π*500
v=1570.796~
What is the surface area of a cylinder? Express the answer in term of x
D=8cm h=18cm
Answer:
the surface area is 552.92
Step-by-step explanation:
Answer:
[tex]552.92 {cm}^{2} [/tex]
Step-by-step explanation:
[tex]A
=
2
π
r
h
+
2
π
{r}^{2}
\\
=
2
·
π
·
4
·
18
+
2
·
π
·
{4}^{2}
\\
≈
552.92031
[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
18x= -252 PLEASE HELP!!!!
Answer:
x = - 14
Step-by-step explanation:
18x = -252
18x/18 = - 252/18
x = - 14
Answer:
[tex]=-14[/tex]
Step-by-step explanation:
[tex]18x=-252\\\mathrm{Divide\:both\:sides\:by\:}18\\\frac{18x}{18}=\frac{-252}{18}\\Simplify\\\frac{18x}{18}=\frac{-252}{18}\\\mathrm{Simplify\:}\frac{18x}{18}:\quad x\\\frac{18x}{18}\\\mathrm{Divide\:the\:numbers:}\:\frac{18}{18}=1\\=x\\\mathrm{Simplify\:}\frac{-252}{18}:\quad -14\\\frac{-252}{18}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\\=-\frac{252}{18}\\\mathrm{Divide\:the\:numbers:}\:\frac{252}{18}=14\\=-14[/tex]
what is the answer of simplify 9^2/9^7
Answer:
0.00001693508
Answer:
Step-by-step explanation:
9^2/9^7= 1/9^(7-2) = 1/9^5
first correct answer gets 10 points!! hurry
Step-by-step explanation:
The area of a parallelogram is b * h, where b is the base and h is the height. We'll call the height x and the base x + 4, and we know that this is equal to 45.
x (x + 4) = 45
x² + 4x = 45
x² + 4x - 45 = 0
(x + 5)(x - 4) = 0
x = -5, 4 → x = 4 (no negative sides)
Therefore, base is 8 and height is 4. Hope this helps!
What is the best way to solve this?
Answer:
20+20+20=60
20+5+5=30
5-2=3
1+(20*5)=100+1=101
Step-by-step explanation:
Hope it helps :)
Answer:
you do order of operations
Step-by-step explanation:
Which of the following statements is true about a regular octagon?
A. The sum of the figure’s interior angles is 540
B. The sum of the figure’s exterior angles is 720.
C. The measure of each of the figure’s interior angles is 135
D. The figure has 12 lines of symmetry.
Answer:
The answer is C. An octogon has a sum of interior angles of 1080 degrees. 1080/8 = 135 degrees.
Answer:
A:the sum of figure interior angles is 540
Step-by-step explanation:
Wendy is concentrating a sample by distillation. She started with 140 mi of a solution that was about 0.07% inorganic salts. After several hours of distillation, the amount of inorganic salts hasn't changed ,but the volume has decreased to 48 ml. What percent of the solution after distillation is in organic salts?
4. At the ACME store you buylrubber chickens for $15, they are originally
$20. What percent of the total did you pay for the rubber chickens? *
Answer:
75 percent
Step-by-step explanation:
.75 times 20 =15 therefore it is .75 or 75%
I need help please find answers for both of them worth 15 points
Answer:
Volume = 9900 ft2
Step-by-step explanation:
To find the volume of the pool, we can use the base as the trapezoid, and then we need to calculate the base area and multiply by the height.
The trapezoid has a bigger base of 8 and a smaller base of 3, with a height of 60, so the area is:
Area = (8+3)*60/2 = 330 ft2
Now, to find the volume, we just need to multiply the base area by the height of 30 feet:
Volume = Area * Height = 330 * 30 = 9900 ft2
You roll a fair 6-sided die.
What is P(roll less than 4)?
If necessary, round your answer to 2 decimal places.
Answer:
1/2
Step-by-step explanation:
there are 3 numbers on the dice less than six and 3 of six is 1/2
[(-5)-{9/(-3)}^3].(-6)+(-6)
Answer:
[tex][(-5)-\frac{9}{(-3)^3}](-6)+(-6)=22[/tex]
Step-by-step explanation:
[tex][\left(-5\right)-\frac{9}{\left(-3\right)^3}]\left(-6\right)+\left(-6\right)[/tex]
Remove parenthesis: [tex](-a)=-a[/tex]
[tex]=-[-5-\frac{9}{\left(-3\right)^3}] * 6-6[/tex]
[tex][-5-\frac{9}{\left(-3\right)^3}]*6 = -28[/tex]
[tex]= - (-28) - 6[/tex]
Apply rule: [tex]- (-a) = a[/tex]
[tex]= 28 - 6[/tex]
Subtract the numbers: [tex]28 - 6 = 22[/tex]
Final answer:
[tex]= 22[/tex]
Hope I helped. If so, may I get brainliest and a thanks?
Thank you, have a good day! =)
Jake practiced piano for 36 minutes. Betty practiced for 7 times as long as Jake. How many minutes did Betty practice? How many minutes in all did Jake and Betty practice? Write an equation to model your work.
Answer:
Step-by-step explanation:
How many minutes did Betty practice?:
36 x 7=252
How many minutes in all did Jake and Betty practice?:
252+36=288
Equation:
1:7
The equations can be modeled as:
Betty = 252 minutes
Jake + Betty = 288 minutes.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Given that, Jake practiced piano for 36 minutes and Betty practiced for 7 times as long as Jake.
Therefore, Betty practiced for:
36 × 7 minutes
= 252 minutes.
The total time of practice is:
252 + 36
= 288 minutes.
The equations can be modeled as:
Betty = 252 minutes
Jake + Betty = 288 minutes.
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What is the equation for this parabola (located above) in vertex form?
Answer:
f(x)=x²-2x-2
Step-by-step explanation:
f(x)=ax²+bx+c
f(0)=-2 => c= -2
f(1)= -3=> a+b-2=-3; a+b=-1
f(2)= -2; 4a+2b-2=-2; 4a+2b=0; 2a+b=0
a+b=-1 and 2a+b=0
2a+b-(a+b)=0+1=> a=1
2+b=0=> b=-2
f(x)=x²-2x-2
Alicia gave her friend 6 stamps. She then had 28 stamps left. How many stamps did she have to start?
Answer:
34 stamps
Step-by-step explanation:
Add 6 to 28,
28 + 6 = 34
Answer:
34
Step-by-step explanation:
6 + 28 = 34
Alicia had 34 to start.
Angle
C
CC is inscribed in circle
O
OO.
A
B
‾
AB
start overline, A, B, end overline is a diameter of circle
O
OO.
What is the radius of circle
O
OO?
Answer:
An inscribed angle is defined as the half of its intercepted arc. It's important to notice that the subtended arc by angle C is 180°, because it's have of the total arc length.
[tex]C=\frac{1}{2} (180\°)=90\°[/tex]
Therefore, angle C is a right angle.
Now, in the image attached you can notice that triangle ABC has one acute angle of 46° and one right angle. We already know that the sum of all three internal angles of a triangle must be equal to 180°.
[tex]90\° + 46\° + B=180\°\\B=180\° - 46\° - 90\° = 44\°[/tex]
On the other hand, notice that the diameter of the circle represents the hypothenuse for the right triangle. To find the hypothenuse, we need to know the length of one leg at least.
Therefore, there's no enough information to find the hypothenuse, which implies we can't find the diameter/radius.
Answer:
90 degrees
Step-by-step explanation:
What is the probability that from a normal 52 card deck, you randomly draw a 5, and then without replacement, you select a Queen of Hearts?
Answer:
1 / 663
Step-by-step explanation:
First, let's find the total number of ways you can pick 2 cards from the deck. This is 52 * 51 = 2652 because there are 52 cards available for your first pick, and after you pick one, you'll have 51 left for your second pick.
There are 4 5's (one for every suite) and only 1 Queen of Hearts in a deck of cards. Therefore, the total number of successful outcomes will be 4 * 1 = 4.
The probability of picking a 5 and then a Queen of Hearts is 4 / 2652 =
1 / 663. Hope this helps!
Find the measures of two angels one positive and one negative that are coterminal with pie-7
Answer:
15pi/7 - 13 pi/7
Step-by-step explanation:
to find a positive and negative coterminal angle
● add and subtract 2pi to the given angle
pi/7+2pi=pi/7+14pi/7=15pi/7 positive
pi/7-2pi=pi/7-14pi/7= -13pi/7 negative
There are 3 white counters and 2 black counters in a bag . I take one of the counters out at random . Put a cross on the probability scale to show the probability that I have chosen one of the white counters
Answer:
3/5
Step-by-step explanation:
There are 5 total counters and 3 of them are white counters so you have a 60% chance to get a white counter.
hope this helps
Find the surface area of the composite solid. Write your answer as a decimal.
Answer:
283.5 cm squared
Step-by-step explanation:
The surface area of a solid is basically just the sum of the areas of all the exterior sides. In this figure, we have 3 congruent triangles at the top, 3 congruent rectangles on the sides, and 1 triangle at the base. We need to find all these areas.
3 congruent triangles:
The area of a triangle is denoted by: A = (1/2) * b * h, where b is the base and h is the height.
Here, the base of one triangle is 10 and the height is 4. So:
A = (1/2) * b * h
A = (1/2) * 10 * 4 = 20
Since there are 3 such triangles, multiply 20 by 3:
20 * 3 = 60 cm squared
3 congruent rectangles:
The area of a rectangle is denoted by: A = lw, where l is the length and w is the width.
Here, the length is 6 and the width is 10, so:
A = lw
A = 6 * 10 = 60
There are 3 such rectangles, so multiply 60 by 3:
60 * 3 = 180 cm squared
1 base triangle:
Again we use the formula A = (1/2) * b * h for this area.
Here, the base is 10 and the height is 8.7, so:
A = (1/2) * b * h
A = (1/2) * 10 * 8.7 = 43.5 cm squared
Add all these together:
60 + 180 + 43.5 = 283.5 cm squared
The answer is thus 283.5 cm squared.
Answer:
283.5 cm²
Step-by-step explanation:
3 rectangles + 3 triangles on top + triangular base
3(10×6) + 3(½×10×4) + (½×10×8.7)
180 + 60 × 43.5
283.5 cm²
Are the triangles similar? If so, what is the scale factor going from the top triangle to the bottom triangle?
Answer:
yes, 1.5
Step-by-step explanation:
The ratios are equal. Then the triangle ΔRPQ is similar to the triangle ΔVAQ. And the ratio is 2: 1. Then the correct option is B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The ratio of the corresponding sides are given as,
RP / AV = PQ / AQ
6 / 3 = 8 / 4
2 = 2
The ratios are equal. Then the triangle ΔRPQ is similar to the triangle ΔVAQ.
Thus, the correct option is B.
More about the triangle link is given below.
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The complete question is given below.
Are the triangles similar? If so, what is the scale factor of ΔRPQ to ΔVAQ?
A)NO
B)YES; 2:1
C)YES; 2:3
D)YES; 3:4
Is it possible to draw the triangles described?
Answer by writing possible Or impossible.
1.An equilateral triangle with sides measuring 8cm, 9cm and 10 cm,
____________________
2. A scalene triangle with sides measuring 7 in,7in,and 8 in.
__________________
Answer:
Impossible for both
Step-by-step explanation:
Equilateral triangle= all sides equal
Scalene triangle= all sides not equal
Given triangle ABC with coordinates A(−5, 4), B(−5, 1), and C(−7, 0), and its image A′B′C′ with A′(−1, 0), B′(−4, 0), and C′(−5, −2), find the line of reflection. NEED ASAP WILL CROWN BRAINLIEST