Answer:
is it this one?
Step-by-step explanation:
The diagram shows two campsites on opposite ends of a lake and two triangles formed by intersecting segments from the campsites.
Campsites F and G are on opposite sides of a lake. A survey crew made the measurements shown on the diagram. What is the distance between the two campsites? The diagram is not drawn to scale. The triangles are proportional.
Answer:
x=42.3m
Step-by-step explanation:
x/47=82.8/92
92x=3891.6= 42.3m is the distance
Given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.
What are Similar Triangles?Triangles that are similar to each other always have the same shape but different sizes, and the ratio of their corresponding sides are equal (proportional).
The two triangles formed are similar triangles. Therefore:
47/FG = 82/73.8
Cross multiply
FG = (47 × 73.8)/82
FG = 42.3 m
Therefore, given that the triangles formed are similar, the distance between the two campsites is: 42.3 m.
Learn more about similar triangles on:
https://brainly.com/question/11899908
Triangle with Angle of 68 degrees and a side of 21 what is the value of x
Step-by-step explanation:
angle=68
size=21
x=?
:.=68+21+×
=89=180-89
=91
:.×=91
Mr. Johnson bought 1.8 pounds of grapes for $2.20 per pound. How much did the grapes cost Mr. Johnson to purchase?
A. $3.96
B.$3.80
C.$0.40
D.$5.40
Answer:
A. $3.96
Step-by-step explanation:
$2.20 × 1.8 pounds = $3.96
What is the product of a,b, and c?
Answer:
[tex] abc = - \frac{16}{3} [/tex]
Step-by-step explanation:
[tex] {x}^{ - 2} {y}^{3} \sqrt[3]{ 64{x}^{5} {y}^{3} } = a {x}^{b} {y}^{c} \\ \\ {x}^{ - 2} {y}^{3} \times 4 \times {x}^{ \frac{5}{3} } \times y= a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5}{3} - 2 } {y}^{3 + 1} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{5 - 6}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ 4 {x}^{ \frac{ - 1}{3} } {y}^{4} = a {x}^{b} {y}^{c} \\ \\ equating \: like \: terms \: on \: both \: sides \\ \\ a = 4 \\ \\ b = - \frac{1}{3} \\ \\ c = 4 \\ \\ abc = 4 \times ( - \frac{1}{3} ) \times 4 \\ \\ = 16 \times ( - \frac{1}{3} ) \\ \\ abc = - \frac{16}{3} [/tex]
Solve the expression for: x = 2 and y = 5 x2 + 2y2 + 15
Answer:
69
Step-by-step explanation:
Find the volume of the cylinder. Round your answer to the nearest tenth.
V =
Answer:
1526.81
Step-by-step explain
v=[tex]\pi[/tex]*radius^2*Hight
A paper bag is 16 cm long, 5 cm wide and 20 cm tall. Inside the bag is a box that is 8cm long, 3 cm wide and 10 cm tall. How much space is left in the bag?
volume of paper bag= 16×5×20=1600cmcube
volume of box= 8×3×10= 240
space left = 1600-240= 1360cmcube
hope it helps
vertex (0,0) focus (0,-1)
A) y=1/4 x^2
B) y=-1/4x^2
C) y=1/16x^2
D) y=-1/16x^2
Answer:B
Step-by-step explanation:
can someone help and explain with steps please
Answer:
4th root of 16
4 = index ; 16 = radicand
2
Step-by-step explanation:
⁴√16 is pronounced as the 4th root of 16
For expressions of this sort :
The index = 4
Radicand = 16
Sqareroot (√) is a radical symbol, and the number under the radical square root Symbol is called the radicand
Hence. The 4th root of 16:
⁴√16 ; using a calculator gives 2.
We could check our resukt by taking the 4th square of 2
2 * 2 * 2 * 2 = 16
A chord of a circle is l cm long. The distance of the chord to the center of the circle is h cm and the radius of the circle is r cm. express r in terms of l and h
Answer:
r square = half of l square + h square
Step-by-step explanation:
I used phythogoras theorem to express r in terms of l and h
One banana cost $30 how many do 80 bananas cost
Answer:2400 ...
Step-by-step explanation:
The square root of 14641 will have how many digits
Answer:
3 digits
Step-by-step explanation:
Hopefully that helps.
Answer:
3 digits
Step-by-step explanation:
Using a calculator, we find √14641 = 121, which has 3 digits.
pls helpp!!
the angles of a quadrilateral are x°, (x+5)°, (2x-25)° and (x+10)°
find the value of x
Given:
The angles of a quadrilateral are x°, (x+5)°, (2x-25)° and (x+10)°.
To find:
The value of x.
Solution:
We know that the sum of all interior angles of a quadrilateral is 360°. So,
[tex]x^\circ+(x+5)^\circ+(2x-25)^\circ+(x+10)^\circ=180^\circ[/tex]
[tex](5x-10)^\circ=180^\circ[/tex]
It can be written as
[tex](5x-10)=180[/tex]
[tex]5x=180+10[/tex]
[tex]5x=190[/tex]
Divide both sides by 5.
[tex]x=\dfrac{190}{5}[/tex]
[tex]x=38[/tex]
Therefore, the value of x is 38.
Analyze the following situations that represent a relationship between x and y. Which situations can be modeled by the equation y = 0.23x? Select two that apply.
Answer:
I think it's A and D
Step-by-step explanation:
For option A, y would be the height or total growth, and x would be time or months and total height = 0.23 feet × 7.5 months
for option D, y would be the total amount of money spent and x would be the number of granola bars bought. total money spent = $0.23 × number of granola bars bought
Options B and C don't work because we don't know the initial values and an initial value would be represented in the equation.
In option E, 0.23 represents the total growth in 7 days, so it would be the total instead of the rate of change
please help, i am being timed!!
Which expression is equivalent to StartFraction 7 Superscript 5 Over 7 squared EndFraction?
A) (7 times 5) (7 times 2)
B) (7 times 7 times 7 times 7 times 7) (7 times 7)
C) StartFraction 7 times 5 Over 7 times 2 EndFraction
D) StartFraction 7 times 7 times 7 times 7 times 7 Over 7 times 7 EndFraction
the answer is D
hope that helps
Answer:
the answer is D
Step-by-step explanation:
I want to switch from online school to in-person school next school year and my mom wants to know why and I just think it would be fun but I can't tell her that so what do I say???? Please Help!
Answer:
just tell her that you want to see your friends again or say that you think it will have a better effect on your grades. you could say that it would be eaiser to pay attention in class and that CV cases are droping so it would be still be safe to go.
Step-by-step explanation:
Hope this helps!
Answer:
I have already switched from online to in-person, and I would say it was a pretty great decision. Some points you could bring up are ;
o It'll help your grades. (Personally, I was really struggling with my grades while doing online but, as soon as I switched my grades raised quick!)
o You miss your friends, or just seeing humans lol. (It's been almost an entire year we've been on lockdown! No one can see friends, or people in general. If you look it up, its this has taken a big toll on people's mental health.)
o Just to be able to get out of the house for a few hours. (We've been stuck inside with nothing to do besides, sit and do school and spend all of our time looking at our screens. Just tell her it's to much and you need a break.)
Hope this helps !!
If a car travels 825 miles in 15 hours and the car travels at an constant rate how many miles does the car travel in 1 hour?
Answer:
55 miles
Step-by-step explanation:
Given data
DIstance = 825 miles
Time = 15 hours
Speed= distance/time
Speed= 825/15
Speed= 55 miles per hour
Given that we want to find the distance traveled in 1 hour, we have
Distance= Speed*time
Distance= 55*1
Distance= 55 miles
Hence the car will travel 55 miles in 1 hour
A town
has a population of 14000 and grows at 2.5% every year. What will be the
population after 5 years, to the nearest whole number?
Answer:
The answers is 15840
Step-by-step explanation:
\text{Exponential Functions:}
Exponential Functions:
y=ab^x
y=ab
x
a=\text{starting value = }14000
a=starting value = 14000
r=\text{rate = }2.5\% = 0.025
r=rate = 2.5%=0.025
\text{Exponential Growth:}
Exponential Growth:
b=1+r=1+0.025=1.025
b=1+r=1+0.025=1.025
\text{Write Exponential Function:}
Write Exponential Function:
y=14000(1.025)^x
y=14000(1.025)
x
Put it all together
\text{Plug in time for x:}
Plug in time for x:
y=14000(1.025)^{5}
y=14000(1.025)
5
y= 15839.71498
y=15839.71498
Evaluate
y\approx 15840
y≈15840
round
Help pls thnk You!!!!!!!!!!!!!!!!!!!!!!!!!!
(2n+7)(n+1)(n-1). So the first one.
Here is a right square pyramid. Round answers on this problem to the nearest tenth if necessary. what is the height of the pyramid? what is the volume of the pyramid?
Answer:
height = 6
volume = 60 in³
Hope this helps!
Answer:
Height = 4
Volume = 48 units ^3
Step-by-step explanation:
38 is 90 percent of what
Answer:
42.22 (2 repeating)
Step-by-step explanation:
When you are given percentage problems, you deal with the percent (%), base (amount you are starting with), and the amount.
Starting with the most basic equation,
Percent * Base = Amount
In this problem, you are given the amount (38) and the percent (90)
So to find the base, you can do
Base = Amount / Percent
As always, convert the percent to a decimal by dividing by 100.
38/ 0.9 = 42.222 repeating
Answer:
38 is 90 Percent of What Number?
42.22
Step-by-step explanation:
In a triangle with vertices A,B and C, if C =64° and the lengths AC= 40mm and BC= 70mm find the length AB using cosine rule
Answer:
63.6mm
Step-by-step explanation:
According to cosine rule;
AB² = BC²+AC²-2(BC)(AC)cos m<C
Substitute the given values
AB² = 70²+40²-2(70)(40)cos 64
AB² = 4900+1600-5600cos64
AB² = 6500-5600(0.4384)
AB² = 6500-2,454.87
AB² = 4,045.12
AB = √4,045.12
AB = 63.6mm
Hence the length of AB is 63.6mm
what is the slope of the line with points (4, 4) and (-2,-5)
Answer:
the slope would be -1/2
Step-by-step explanation:
-5 - 4
= -1/2
-2 - 4
Zara, Sam, Shyla, and Ryan are playing a game with marbles. Match the statements with the number lines that represent their solutions.
Complete question :
Zara, Sam, Shyla, and Ryan are playing a game with marbles, Match the statements with the number lines that represent their solutions:
Two more than Shyla's score is less than 9.
Shyla's score is x;
Three times the number of marbles that
Zara has is more than 15. The number
of marbles Zara has is x;
Sam needs more than 6 points to quality
for the next level of the game. The
number of points Sam needs is x;
Two times Ryan's score is less than 12
Ryan's score is x
Answer:
x < 7 (third number line)
x > 5 (4th number line)
x > 6 (1st number line)
x < 6 (2nd number line)
Step-by-step explanation:
2 more than Shyla's score is less than 9 ; Shyla's score is x ;
x + 2 < 9
x < 9 - 2
x < 7 (third number line)
Three times the number of marbles that Zara has is more than 15. The number of marbles Zara has is x;
3x > 15 ;
x > 15 / 3
x > 5 (4th number line)
Sam needs more than 6 points to quality for the next level of the game. The number of points Sam needs is x;
x > 6 (first number line)
Two times Ryan's score is less than 12 Ryan's score is x;
2x < 12
x < 12 / 2
x < 6 (2nd number line)
Answer:
zara first
shyla second
sam third
ryan forth
Step-by-step explanation:
your welcome :)
Probability of drawing one yellow ball from a box containing 20 blue balls, 15 white balls and 10 yellow
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
The probability of an event is calculated by dividing the number of successful outcomes by the number of total outcomes. In an algebraic expression, that would be [tex]\frac{successful}{total}[/tex].
In this case, there are a total of [tex]20+15+10=45[/tex] ways to choose any ball, since there are [tex]45[/tex] balls in the box. However, only [tex]10[/tex] are yellow, so there are [tex]10[/tex] ways to successfully choose a yellow ball. Therefore, the probability of choosing a yellow ball is [tex]\frac{10}{45}=\frac{2}{9}[/tex]. Hope this helps!
a) Length of a Rectangular playground is 15m and width of the playground is
12m.David wants to level the playground .How much area he has to level?
b) David will charge 3 pound for leveling of 1m square What will be the total
amount he will charge for leveling the playground.
Answer:
A. 180 m²
B. 540 pounds
Step-by-step explanation:
Area of rectangular playground = length × width
Length of a Rectangular playground = 15m
width of the playground =
12m
Area of rectangular playground = length × width
= 15m × 12m
= 180m²
B. 1m square = 3 pounds
What will be the total amount he will charge for leveling the playground.
Total cost of leveling the playground = 180 m² × 3 pounds
= 540 pounds
CAN SOMEONE PLEASE HELP ME , THIS IS THE LAST QUESTION AND I ONLY HAVE 5 MINUTES LEFT TO ANSWER IT!!
Answer: x=1
Step-by-step explanation:
The triangle is a 45-45-90, so the formula states that the hypotenuse is 2 roots of x, so x is one.
PLEASE HELP ME ASAP!!!
Answer:
5x6x7=210x2=420
Step-by-step explanation:
Which other expression has the same value as (-14 ) - 8? Explain your reasoning
a(-14) + 8
b14 - (-8)
c14 + (-8)
d (-14) + (-8)
A store manager earns $ 24.00 per hour. If the manager works 8 hours one day and donates 1 10 of the day's earnings to charity, how much of the earnings are left?