Ava is in a hot air balloon that has just taken off and is floating above its launching point. Mary is standing on the ground 4 meter away from the launching point. If ava and mary are 5 meters apart, how high up is ava ?
Answer:
Ava's altitude is 3 meters.
Step-by-step explanation:
The position of Ava and Mary can be described by the sides of a right angled triangle. Let Ava's altitude be represented by x.
So that applying the Pythagoras theorem, we have;
[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]
[tex]5^{2}[/tex] = [tex]4^{2}[/tex] + [tex]x^{2}[/tex]
25 = 16 + [tex]x^{2}[/tex]
[tex]x^{2}[/tex] = 25 - 16
= 9
x = [tex]\sqrt{9}[/tex]
= 3
x = 3 meters
Thus, Ava's altitude is 3 meters.
What is the area of a circle with the radius of 3 inches
Answer:
28.27
Step-by-step explanation:
Using the quadratic formula to solve 7x2 -x = 7, what are the values of x?
Answer:
x=-7
Step-by-step explanation:
7x2-x=7
7x2=14.
14-x=7
When you finished the last step, you will subtract 14 to both sides.
14-x=7
14-14-x=7-14
this will cancel out the 14 on the left.
And will leave you with:
-x=7-14
7-14 is -7.
and this will get you to
-x=-7
To finish this off, you have to turn the negative x/variable, into a positive x/variable.
So, you will divide both sides of the equation by the same term.
-x = -7
into
[tex]\frac{-x}{1} =\frac{-7}{1}[/tex]
and it will be -7.
I hope this helps :)
In an effort to catch a criminal; a superhero is going to leap over a building and take a shortcut down the ally. The function f(x)=−16x^2+150x gives the superhero's height in feet as a function of time. The building is 425 feet high. Will the superhero make it over the building?
A. Yes, the superhero always makes it!
B. No, the superhero can only jump half the height of the building
C. No, the superhero will crash into the building at 351 feet
D. No, the superhero can only jump 150 feet into the air
Answer:C
Step-by-step explanation:
I put it in Desmos calculator and he can only jump 351 ft high
Find the value of x in each triangle with the given angle measures.
Answer:
15°
Step-by-step explanation:
Total degrees of a triangle is 180°
Angle 1: ?
Angle 2: 81°
Angle 3: 84°
180°- 81°- 84° = 15°
The perimeter of a football field in a certain school is 296m. If the breadth is 2/3 of the length, find the sides of the field
Answer: 88.8 m , 59.2 m
Step-by-step explanation:
Given
Breadth is [tex]\frac{2}{3}[/tex] of length
Suppose length is x m
So, breadth is [tex]\dfrac{2}{3}x[/tex]
Perimeter is given by [tex]P=2(L+W)[/tex]
Putting values
[tex]\Rightarrow 296=2(x+\dfrac{2}{3}x)\\\\\Rightarrow 296=2(\dfrac{5}{3}x)\\\\\Rightarrow x=\dfrac{296\times 3}{10}=88.8\ m[/tex]
Length L is [tex]88.8\ m[/tex]
width W is [tex]\frac{2}{3}x=59.2\ m[/tex]
Miss Lianto mowed 2/7 of her lawn. Her son mowed 1/4 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
HURRY AND BE CORRECT PLEASE!!!
Answer: 2/7 = 8/28
1/4 = 7/28
Therefore Mr Pham mowed more.
8+7 = 15 so 15/28 of lawn has been mowed, therefore 13/28 of the lawn is left still to be mowed.
Mr. Pham mowed more of the lawn than his son.
it still needs ¹³/₂₈ of the lawn to be mowed.
Step-by-step explanation:
Answer: 1/4 is greater than 2/7 mowed most of the lawn.
Step-by-step explanation:
First, draw a fraction model for [tex]\frac{2}{7}[/tex] and [tex]\frac{1}{4}[/tex] and partition it. Then, how ever many you get write it as a fraction. Then, see whose answer is greater.
OMG PLEASE HELP IF I DONT PASS THIS I FAIL MY CLASS! HELP! 30 POINTS SHOW WORK IF U NEED TO PLEASE! thank you too anyone(PRETTY PLEASE SHOW HOW YOU DID IT/can you show work)
Answer:
answer is c have a great day :)
Step-by-step explanation:
Find the area of the figure below
Answer:
4.5 x 14 = 63
Explanation:
The area of a parallelogram is the product of any base and the altitude to that base: A = bh.
Mrs. Lee teaches 132 students every day. On a particular day, one-fourth of her students are sick and 24 go on a field trip. In addition to these absences, she gets three new students. How many students does she teach on this day?
Answer: 78
Step-by-step explanation:
Given
Mrs. Lee has [tex]132[/tex] students
On a particular day, one-fourth of her students are sick i.e.
[tex]\Rightarrow \dfrac{1}{4}\times 132=33[/tex]
and 24 were on a field trip.
The total no of students taught on that day will be the subtraction of the gone students and the addition of three new.
[tex]\Rightarrow 132-33-24+3\\\Rightarrow 78[/tex]
A swimming pool measures 10 feet by 8.5 feet by 5 feet. How many cubic feet of water will the swimming pool hold?
Answer:
425 Cubic Feet
Step-by-step explanation:
Cubic feet is volume meaning that in order to find the volume you must multiply the length, width and the height. The answer is 425
The swimming pool will hold 425 cubic feet of water.
What is the volume of a rectangular prism?The volume of the rectangular prism is defined as the space in three-dimension covered by the rectangular prism having the sides Length, Width, and Height.
To find the volume of the swimming pool in cubic feet, we need to multiply the length, width, and height of the pool:
The volume is calculated as,
Volume = length x width x height
Volume = 10 ft x 8.5 ft x 5 ft
Volume = 425 cubic feet
Therefore, the swimming pool will hold 425 cubic feet of water.
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Find the cube roots of unity in standard form (a+bi). Use exact values.
Every non-zero complex number has three cube roots. In general, any non-integer exponent, like
1
3
here, gives rise to multiple values. The way we find them is by multiplying
z
by 1 before exponentiating. We write
1
using Euler's Identity to the
2
k
power for integer
k
. That's
lolz helppp thank uuuuuu
Answer:
Step-by-step explanation:
Friend runs 32/2=16 miles per week
You run 24/3=12 miles per week
Your friend runs (16-12)=4 more miles than you each week.
Answer:
o
Step-by-step explanation:
The semicircle below has diameter $20$. Find the area of the blue region.
Area of the blue region is 61 units²
Area of semi circlearea = π / 2 r²
Therefore,
r = radius
Area of the blue region = area of semi circle - area of triangle
Therefore,
area of triangle = 1/bh
where
b = base
h = height
Therefore,
area of triangle = 1 / 2 × 12 × 16 = 96 units²
area of semi circle = 3.14 × 10² / 2 = 157 units²
Area of the blue region = 157 - 96 = 61 unit²
learn more on semi circle here: https://brainly.com/question/24887556
PLEASE HELP ASAP!! ITS DUE VERY SOON AND THIS IS MY LAST QUESTION. ILL MARK YOU THE BRAINLIEST
Answer:
can you show it a bit closer?! i cant read it
Step-by-step explanation:
suppose you have a bag of 25 marbles and 3 of the marbles are white.If you choose one without looking, what is the probability you choose a white marble? Write this probability as a percent . Use a word or phrase to describe this probability.
Answer:
3/25
THERE IS AN 11% CHANCE
can i get brainliest
Step-by-step explanation:
Answer:
12%
Step-by-step explanation:
3 is 12% of 25. So you would have a 12 percent chance of getting a white marble.
3 ÷ 25 = 0.12 = 12%
Percent formula
P × V1 = V2
1. Expand to write an equivalent expression: −14(8x+12y)
2. Factor to write an equivalent expression: 36a−6
Pls answer (No links)
Answer:
-112x-168y, 6(6a-1).
Step-by-step explanation:
-14(8x+12y)
-112x-168y
--------------
36a-6
6(6a-1)
(WILL GIVE BRAINLIEST IF RIGHT PLEASE HELP 20 POINTS!!!)
What is the value of x?
Enter your answer in the box.
x = ?
Answer:
46
explanation:
its supposed to make up 180 so you will subtract 180 from 134 and thats your answer
Sorry to bother you but I am so bad at math plz help
Answer:
4
Step-by-step explanation:
Answer
C = 4
Step by Step
Divide both sides by the numeric factor on the left side, then solve.
c = 4
Find the difference.
(9/4x + 6)-(-5/4x-24)
Answer:
9x/4 + 30 + 5x/4
Step-by-step explanation:
[tex]9x/4 +30 +5x/5[/tex]
The simplification of the expression (9/4x + 6) - (- 5/4x - 24) will be 3.5x + 30.
What is simplification?Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ (9/4x + 6) - (- 5/4x - 24)
Simplify the expression, then we have
⇒ (9/4x + 6) - (- 5/4x - 24)
⇒ (9/4)x + 6 + (5/4)x + 24
⇒ (14/4)x + 30
⇒ 3.5x + 30
The simplification of the expression (9/4x + 6) - (- 5/4x - 24) will be 3.5x + 30.
More about the simplification link is given below.
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mary need 50 ft of fence to protect her rectangular garden from squirrels. How long and how wide is the 8 ft more than the width length is if the length is 8 ft more than the width
Answer:
Width of the fence = 8.5 ft
Length of the fence = 16.5 ft
Step-by-step explanation:
Mary need 50 feet of fence to protect her rectangular garden from squirrels. How long and wide is the garden if the length is 8 feet more than the width?
Perimeter of the fence = 2(length + width)
Perimeter of the fence = 50 ft
Width of the fence = x ft
Length of the fence = x + 8 ft
Perimeter of the fence = 2(length + width)
50 = 2{(x+8) + (x)}
50 = 2(x + 8 + x)
50 = 2(2x + 8)
50 = 4x + 16
50 - 16 = 4x
34 = 4x
x = 34/4
x = 8.5
Width of the fence = x ft
= 8.5 ft
Length of the fence = x + 8 ft
= 8.5 + 8
= 16.5 ft
Width of a rectangle is equal to [tex]\boldsymbol{8.5}[/tex] feet and length is equal to [tex]8.5+8=\boldsymbol{16.5}[/tex] feet
Perimeter of a rectangleA quadrilateral having four right angles is known as a rectangle. It can also be described as a square - shaped quadrilateral (equiangular meaning all angles are identical) or a parallelogram with a right angle.
Let [tex]x[/tex] denotes the width [tex](w)[/tex] of a rectangle.
So,
Length of a rectangle [tex](l)=x+8[/tex]
Perimeter of a rectangle [tex]=50[/tex] feet
[tex]2(l+w)=50\\l+w=25\\x+8+x=25\\2x=17[/tex]
[tex]x=8.5[/tex] feet
So,
width is equal to [tex]\boldsymbol{8.5}[/tex] feet and length is equal to [tex]8.5+8=\boldsymbol{16.5}[/tex] feet
Find out more information about rectangle here:
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find the lateral surface area of the prism below PLS ANWSER QUIC
Answer:
give me sec waitttttttt give me sec I think 16
Answer: 24
Step-by-step explanation:
Surface area of cube = 6 x side length x side length
Plug in 2 for side length
6 x 2 x 2 = 24
can someone help me simplify this?
Answer:
sinB
Step-by-step explanation:
Using trigonometric sum/difference rule -
we can expand the expression to
= (sinAcosB + cosAsinB)cosA - (cosAcosB - sinAsinB)sinA
= cosAsinAcosB + cos^2(A)sinB - sinAcosAcosB + sin^2(A)sinB
= cos^2(A)sinB + sin^2(A)sinB
= (cos^2(A) + sin^2(A))sinB, (Pythagorean identity)
= (1 * sinB)
= sinB
Definition of radius
Answer:
Step-by-step explanation:
A straight line from the center to the circumference of a circle or sphere.
Octers on product box
Usplay
and front-firing
speakers
Answer:
Step-by-step explanation:
A trust me and c
Help me plz!!!! For number 17
Answer:
x=40
Step-by-step explanation:
x + 320 = 360
-320 -320
x = 40
Answer:
x=40
Step-by-step explanation:
So, since the figure has 4 sides, we know that the sum of the interior angles is 360. To check: (n-2)*180=(4-2)*180=28180=360.
That means x equals 360 minus the sum of the other three angles.
100+120+100=320
360-320=40
x=40 degrees
If triangle PQR is similar to SQT, find the value of
PQ.
X-9
S
T
8
Y +5
P
R
21
X = 15
PQ = 26
Answer:
x = 31.4
PQ = 58.8
Step-by-step explanation:
Set up a proportion:
SQ/QP = ST/PR
Substitute in the values they give you:
[tex]\frac{x-9}{x-9+x+5} = \frac{8}{21}[/tex]
[tex]\frac{x - 9}{2x - 4} = \frac{8}{21}[/tex]
[tex]21x - 189 = 16x - 32\\5x = 157\\x = 31.4[/tex]
This means that PQ = 2x - 4 = 2(31.4) - 4 = 62.8-4 = 58.8
Answer:
x = 15, PQ = 26
Step-by-step explanation:
x+13/9 = 21/x-9
x^2+4x−117=168
x^2+4x−285=0
(x−15)(x+19)=0
x=15
it cannot be a negative number so x cannot be -19
PQ= x+13
15+13=26
Find the distance between (8,5)(-1,3). Round your answer to the nearest tenth.
Answer: 9.2
Step-by-step explanation:
d = sqrt ((x2-x1)^2 (y2-y1)^2)
d = sqrt (85)
d = 9.219544
Mrs. Kemp began the school year with 20 students in her kindergarten class. She had 23 students at the end of the year. What was the
percent of increase in the number of students from the beginning of the year to the end of the year?
Subtract right answers please
-22 - 49 = -71
Answer:
23
-71
Step-by-step explanation:
11 - (-12) = ?
-22 - 49 = ?
11 - ( -12) = 11 + 12 = 23
-22 - 49
subtracting a negative from a negative is like adding a positive to a positive it has the same affect just a different sign
-22 - 49 = -(22 + 49)
22 + 49 = 71
-(71) = -71