Answer:
D - 192
Step-by-step explanation:
So the solve this, lets use the formula for area of a triangle:
b*h / 2 = A
b is the base, h is the height.
In this case, our base is 32, and our height is unknown.
To find it we must use pythagreons theorm:
[tex]a^2+b^2=C^2[/tex]
a is half of the base in this case, since tecnically this iscoceles traingle(2 same sides) cut in half is 2 right triangles.
32/2 = 16
b is the unknown, and C is the hypotenuse(longest length) which is 20:
[tex]16^2+b^2=20^2[/tex]
[tex]256*b^2=400[/tex]
[tex]b^2=144[/tex]
[tex]b=12[/tex]
So we know b, whihc is our height, is 12.
Plugging this in:
32*12 / 2 = A
384 / 2 = A
192 = A
So the area of the triangle is 192.
Hope this helps!
Answer:
D: 192 square ft
Step-by-step explanation:
We are given all 3 side lengths of the triangle, and we notice that 2 of the sides are congruent (the 2 sides that are 20 ft). Therefore, we can safley say that this triangle is isosceles. What this tells us is that the height bisects the base. This is important because we can say that the base for each of the right triangles created by the height is 16. From there, we can say that h = 12 because 20 and 16 are basically 4 and 5 multiplied by 4, which means that the side lengths form a scaled-up version of the Pythagorean Triple 3-4-5. Now, just calculate the area by doing [tex]\frac{1}{2}*32*12[/tex] (basically just half * base * height), which gives us 192 [tex]ft^{2}[/tex]. Hope this helps! Feel free to reach out if you have any further questions.
Given the table below, determine the initial value/y intercept. PIC IS ABOVE! ANSWER!
Answer:
The initial value is the y value when x is zero. Look at the table to help you determine the y value when x is zero and that is your answer.
Step-by-step explanation:
what is the midpoint of this point (-4,2) and (8,0)?
Answer:
Mid - point = ( 2 , 1 )
Step-by-step explanation:
Let A = ( - 4 , 2 ) and B = ( 8 , 0 )
Let P = ( x , y ) be the mid-point of AB
Then,
[tex]P = (\frac{x_A + x_B}{2} , \frac{y_A + y_B}{2} ) \\\\P =(\frac{-4+8}{2} , \frac{2+0}{2}) \\\\P = ( \frac{4}{2} , \frac{2}{2} )\\\\P = ( 2 , 1)[/tex]
Answer:
(2,1)
Step-by-step explanation:
Hi there!
Midpoint: [tex](\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex] where two endpoints of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (-4,2) and (8,0)
[tex](\frac{-4+8}{2} , \frac{2+0}{2} )\\(\frac{4}{2} , \frac{2}{2} )\\(2, 1)[/tex]
Therefore, the midpoint of the line segment is (2,1).
I hope this helps!
A coach divided 13 liters of water into water bottles so that each bottle contained 0.65 liter of water how many water bottles are there
Answer:
there would be 20 bottles.
Step-by-step explanation:
13 divided by .65 = 20
- 3/10h = 15 what does h =
Answer:
h = -50
Step-by-step explanation:
- 3/10h = 15
Multiply each side by -10/3 to isolate h
-10/3 * - 3/10h = 15 * -10/3
h = -150/3
h = -50
Answer:
h = -50
Step-by-step explanation:
A snow cone is a tasty treat with flavored ice and a spherical bubble gum ball at the bottom, as shown below:
Snow cone with spherical bubble gum ball at the bottom
The radius of the cone is 1.25 inches, and its height is 2.75 inches. If the diameter of the bubble gum ball is 0.5 inches, what is the closest approximation of the volume of the cone that can be filled with flavored ice? (4 points)
Group of answer choices
4.43 in3
0.07 in3
13.50 in3
4.50 in3
==========================================================
Explanation:
The volume of the cone is...
V = (1/3)*pi*r^2*h
V = (1/3)*3.14*(1.25)^2*2.75
V = 4.49739583333333
which is approximate.
-----------
The volume of the sphere is
V = (4/3)*pi*r^3
V = (4/3)*3.14*(0.25)^3 ... note the radius is half the diameter
V = 0.06541666666667
which is approximate as well
-----------
Subtract the two volumes to finish things up
4.49739583333333-0.06541666666667 = 4.43197916666667
The result 4.43197916666667 then rounds to 4.43
This is the approximate amount of empty space in the cone that isn't taken up by the spherical gum. The units are in "cubic inches" or "in^3" for short.
PLEASE HELP! Which of the following points are in the second quadrant of the xy-plane? Check all that apply.
A. (-7,6)
B. (-2,-8)
C. (6,-2)
D. (-4,2)
E. (2, 2)
F. (4,8)
Answer:
a and d i think bc they are negative-positive
#42 urgent please be certain
Answer:
Its D
Step-by-step explanation:
two solutions of x(18 – x) = 2(9x – 32).
Answer:
x = -8
x = 8
Step-by-step explanation:
x(18 – x) = 2(9x – 32)
distribute
18x - x² = 18x - 64
Subtract 18x from both sides
-x² = -64
multiply both sides by -1
x² = 64
Take the square root of both sides
x = ± 8
x = -8
x = 8
An ice cream store sells 2 drinks, in 4 sizes, and 6 flavors. In how many ways can a customer order a drink?
prove the following [tex]\bold{algebraically}[/tex]:
[tex] \displaystyle \frac{ {29}^{3} + {29}^{2} + 30 }{ {29}^{4} - 1} = \frac{1}{28} [/tex]
Answer:
see below
Step-by-step explanation:
we are given
[tex] \displaystyle \frac{ {29}^{3} + {29}^{2} + 30 }{ {29}^{4} - 1} = \frac{1}{28}[/tex]
we want to prove it algebraically
to do so rewrite 30:
[tex] \displaystyle \frac{ {29}^{3} + {29}^{2} + 29 + 1}{ {29}^{4} - 1} \stackrel{ ? }{= }\frac{1}{28}[/tex]
let 29 be a thus substitute:
[tex] \displaystyle \frac{ {a}^{3} + {a}^{2} + a + 1}{ {a}^{4} - 1} \stackrel{ ? }{= }\frac{1}{28}[/tex]
factor the denominator:
[tex] \rm\displaystyle \frac{ {a}^{3} + {a}^{2} + a + 1}{ ({a}^{2} + 1) (a- 1)(a + 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]
Factor out a²:
[tex] \rm\displaystyle \frac{ {a}^{2} ({a}^{} + 1)+ a + 1}{ ({a}^{2} + 1) (a- 1)(a + 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]
factor out 1:
[tex] \rm\displaystyle \frac{ {a}^{2} ({a}^{} + 1)+1( a + 1)}{ ({a}^{2} + 1) (a- 1)(a + 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]
group:
[tex] \rm\displaystyle \frac{ ({a}^{2} +1)( a + 1)}{ ({a}^{2} + 1) (a + 1)(a - 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]
reduce fraction:
[tex] \rm\displaystyle \frac{ \cancel{({a}^{2} +1)( a + 1)}}{ \cancel{({a}^{2} + 1) (a + 1)}(a - 1)} \stackrel{ ? }{= }\frac{1}{28}[/tex]
[tex] \displaystyle \frac{1}{a - 1} \stackrel {?}{ = } \frac{1}{28} [/tex]
substitute back:
[tex] \displaystyle \frac{1}{29 - 1} \stackrel {?}{ = } \frac{1}{28} [/tex]
simplify substraction:
[tex] \displaystyle \frac{1}{28} \stackrel { \checkmark}{ = } \frac{1}{28} [/tex]
hence Proven
Answer:
Step-by-step explanation:
Identity to use:
1+N+N^2+N^3 = (N^4-1)/(N-1)
Let N=29
1+29+29^2+29^3 = (29^4-1) / (29-1)
30+29^2+29^3 = (29^4-1) / 28
Transpose and re-arrange
(29^3+29^2+30) / (29^4-1) = 1 / 28 QED
A test is worth 30 points. Multiple-choice questions are worth 7 point and
short-answer questions are worth 2 points. If the test has 20 questions, how
many multiple-choice questions are there?
Answer:cvg
Step-by-step explanation:
Which graph is likely to have a leading coefficient value of -1/8?
Answer:
The second graph: only this one opens downward.
Please help I will give brainlest
Step-by-step explanation:
D. 321 square feet
26-15= 11
6*11= 66ft²
15*17= 255ft²
255+66= 321ft²
Area= 321ft²
Might be wrong but hope it helped!
Find the slope from the two points given: (2, 1) and (3,-10)
Answer:
-11
Step-by-step explanation:
let (2,1)be x1 and y1 respectively
(3,-10) be x2 and y2 respectively
From,slope= (y2-y1)/(x2-x1)
=(-10-1)/(3-2)
= -11/1
= -11
25 points do entire slide, as shown in image.
Answer:
A=90, B=86.896551724,C=90/29
Step-by-step explanation:
B+C=90
(x28)+x=90
x=90/ 29
((90/29)28)=B
A=90° because there is the symbol indicating a right angle
Given that√7=2.65 and √70=8.37,find the value of
(a)√0.07
(b)√0.0007
(c)√0.7
(d)√0.007
(e)√0.000007
(f)√0.00007
Answer:
A) 0.265
B) 0.0265
C) 0.837
D) 0.0837
E) 0.00265
F) 0.00837
Step-by-step explanation:
We are given;
√7 = 2.65 and √70 = 8.37
A) √0.07 can be rewritten as;
√(7 × 1/100)
Let's deal with the digits in the bracket.
Square root of 100 is 10. Thus;
√(7 × 1/100) = (1/10)√7 = (1/10) × 2.65 = 0.265
B) √0.0007
Rewrite to get;
√(7 × 1/10000)
Square root of 1/10000 is 1/100
Thus;
√(7 × 1/10000) = (1/100)√7 = (1/100) × 2.65 = 0.0265
C) √0.7
Like above;
√0.7 = √(70 × (1/100))
>> (1/10)√70 = (1/10) × 8.37 = 0.837
D) √0.007
Like above;
Rewrite to get;
√(70 × 1/10000)
Square root of 1/10000 is 1/100
Thus;
√(70 × 1/10000) = (1/100)√70 = (1/100) × 8.37 = 0.0837
E) √0.000007
Rewritten to;
√(7 × (1/1000000))
√(1/1000000) = 1/1000
Thus; √(7 × (1/1000000)) = 1/1000 × √7 = 1/1000 × 2.65 = 0.00265
F)√0.00007
Rewritten to;
√(70 × (1/1000000))
√(1/1000000) = 1/1000
Thus; √(70 × (1/1000000)) = 1/1000 × √70 = 1/1000 × 8.37 = 0.00837
The sum of four consecutive numbers equals b+6. What are the numbers?
Answer:
0,1,2 and 3
Step-by-step explanation:
let the first number be b
therefore the second,third and fourth numbers are b+1,b+2 and b+3
b+b+1+b+2+b+3=b+6
4b+6=b+6
4b-b=6-6
3b=0
b=0
Help meeeeeeeeeeeeeeee
Answer:
I'm pretty sure it's D becuase you can't have a power be a fraction
Step-by-step explanation:
f(x) = 3x – 5. Find the average rate of change of the function between x = 3 and x = 7.
Given:
The function is:
[tex]f(x)=3x-5[/tex]
To find:
The average rate of change of the function between x = 3 and x = 7.
Solution:
We have,
[tex]f(x)=3x-5[/tex]
For [tex]x=3[/tex],
[tex]f(3)=3(3)-5[/tex]
[tex]f(3)=9-5[/tex]
[tex]f(3)=4[/tex]
For [tex]x=7[/tex],
[tex]f(7)=3(7)-5[/tex]
[tex]f(7)=21-5[/tex]
[tex]f(7)=16[/tex]
The average rate of change of the function f(x) between x = a and x = b is:
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
The average rate of change of the function between x = 3 and x = 7 is:
[tex]m=\dfrac{f(7)-f(3)}{7-3}[/tex]
[tex]m=\dfrac{16-4}{4}[/tex]
[tex]m=\dfrac{12}{4}[/tex]
[tex]m=3[/tex]
Therefore, the average rate of change of the function between x = 3 and x = 7 is 3.
factorise: x³ + 4x
(with explaining the steps)
Answer:
x( x^2+4)
Step-by-step explanation:
factor out x from the expression
xx (x^2+4)
than your answer is x( x^2+4)
Answer:
[tex] x(x + 2)(x + 2)[/tex]
Step-by-step explanation:
as the x is the common factor...get x out
[tex] {x}^{3} + 4x[/tex]
[tex]x( {x}^{2} + 4)[/tex]
Then
[tex]x( {x}^{2} + 4) \\ x( {x}^{2} + {2}^{2} ) \\ x(x + 2)(x + 2)[/tex]
Hope this helps you
After filling the first sandbox to a height of 6 inches, the groundskeeper had 24 cubic feet of sand left
over. She used all the leftover sand to fill the second sandbox.
. The second sandbox has a base in the shape of a rectangle.
The base of the second sandbox has a perimeter that is less than 35 feet.
The groundskeeper filled the second sandbox to a height of 6 inches.
What could be the length and width, in feet, of the second sandbox?
Answer:
Length could be 14.05 ft and width 3.41 ft.
Step-by-step explanation:
The volume of the sand in the second box = 24 ft^3.
Let its base be x feet wide and y feet long.
Then 2(x + y) < 35.
The volume of sand = 0.5xy ft^3.
So 0.5xy = 24
xy = 48.
x = 48/y
Substituting ih the above inequality:
2(48/y + y) < 35
96/y + 2y < 35
2y^2 - 35y + 96 < 0
Solving 2y^2 - 35y + 96 = 0 gives y = 3.41, 14.09.
So the length could be 14.05 ft and the width 48/14 = 3.41 ft.
The length could be 14.05 ft and the width will be 3.41 ft.
What is volume?The volume of the sand in the second box = 24 ft³.
Let its base be x feet wide and y feet long.
Then 2(x + y) < 35.
The volume of sand = 0.5xy ft^3.
So 0.5xy = 24
xy = 48.
x = 48/y
Substituting the above inequality:
2(48/y + y) < 35
96/y + 2y < 35
2y² - 35y + 96 < 0
Solving 2y² - 35y + 96 = 0 gives y = 3.41, 14.09.
So the length could be 14.05 ft and the width 48/14 = 3.41 ft.
To know more about volume follow
https://brainly.com/question/15607324
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The measure of 1 in the diagram below is 113º.
What is the measure of <4?
Which best describes the vertex of this parabola?
Answer:
The correct option is (2,1);maximum. The explanation is given below. The vertex of the parabola is the point where the parabola crosses its axis of symmetry. the vertex will be the lowest point on the graph, the point at the bottom of the " U "-shape.
Step-by-step explanation:
thank me later
A city held a bike parade. 52 bikers rode in the parade, and 8 of them rode a fixed-gear bicycle.
What is the probability that a randomly chosen bike in the parade was a fixed-gear bicycle?
Write your answer as a fraction or whole number.
P(fixed-gear bicycle) =
Answer:
[tex]\frac{2}{13}[/tex]
Step-by-step explanation:
Find the probability by dividing the number of fixed gear bikers by the total number of bikers in the parade.
Since there are 8 fixed gear bikers and 52 bikers in total, this will be found by dividing 8 by 52.
So, the probability as a fraction is [tex]\frac{8}{52}[/tex]
This can be simplified by dividing both the numerator and denominator by 4:
= [tex]\frac{2}{13}[/tex]
So, the probability is [tex]\frac{2}{13}[/tex]
In the diagram of △EHG below, JF ∥HG, EJ=12, JH=24, and EF=6. What is the length of EG?
write a proportion and find the missing side lengths. show work!! 30 points.
Answer:
Step-by-step explanation:
34 . since the given two figure are similar their corresponding sides are proportonal.
let the missing side be x
take these ratios
15/18 = x/30
do cross multiplication
18*x = 30*15
18x = 450
x = 450/18
x = 25
therefore missing side is 25
35.since they are also similar their corresponding sides are proportional.
let the missing side be x
for this take these ratios
8/12 = 10/x
do cross multiplication
12*10 = 8*x
120/8 =x
15 =x
therefore missing side is 15.
HELP‼️‼️‼️‼️‼️‼️‼️‼️
Answer:
a. x^(5/6) + 2x^(7/3)
Step-by-step explanation:
____
Find the volume of this cone.
Use 3 for pi
Answer:
81 cm^3
Step-by-step explanation:
We know that we have to use 3 for pi.
Formula given for formula of cone is:
πr^2h ÷3
Use formula with the given pi and dimensions:
3(3^2)(9) ÷ 3
= 3(9)(9) ÷ 3
= 243 ÷ 3
= 81
Volume is measured in cubic centimeters.
FINAL ANSWER:
81 cm^3
Hope this helps!
A 6-foot diameter circle is divided
into six congruent sectors. What
is the area of each sector in square
inches? (Use 3.14 for 2.)
Answer:
the area is 1235
Step-by-step explanation:
Answer:
2714.33 sq in
explanation-
since circle is divided into 6 congruent sectors, area of each sector is 1/6th of area of circle.[tex]ar \: of \: sector \: = ar \: of \: circle \: \div 6 \\ = \pi \times 72 \times 72 \div 6 \\ = 2714.33[/tex]Solve for w -8.5 = 3.46
Done done done, W=3.46+8.5
W=11.96!
Hit the heart if it was helpful!
Answer:
11.96
Step-by-step explanation: