Answer:
The mechanic will need to finish in 4 hours.
Step-by-step explanation:
100+40=140
40+40=80
40+40=80
40
140 +80 + 80+ 40= 340
A 25 foot ladder is placed against a building at a point 21 feet from the ground find the distance from the base of the building to the base of the ladder
Answer:
The distance from the base of the building to the base of the ladder is 13.56 feet.
Step-by-step explanation:
This can be solved using Pythagorus theorem.
If the length of the ladder is taken as the hypotenuse and the distance from the building as the base of the triangle then the altitude can be found out by using
c²= a²+b²
Where c is the hypotenuse and b is the base and a is the altitude
Putting the values
25²= a²+ 21²
a²= 25²-21²
a²= 625-441
a²= 184
a= √184= 13.56 feet
The distance from the base of the building to the base of the ladder is 13.56 feet
The right triangle on the right is a scaled copy of the right triangle on the left.
Identify the scale factor. Express your answer as a whole number or fraction
in simplest form.
15/4
5
Pleaseeee help
Answer:
1.25
Step-by-step explanation:
15 ÷ 4 = 3.75
3.75 ÷ 3 = 1.25
5 ÷ 4 = 1.25
The triangle is scaled by 1.25
A helicopter is sighted at the same time by two ground observers who are 5 miles apart, both ahead of the helicopter and in its direction of travel. They report angles of elevation of 19.5° and 31.2° to the helicopter. Find the distance from the helicopter to the further observer, to the nearest tenth of a mile.
Answer:
The distance from the helicopter to the further observer is:
d = 12.77 miles
Step-by-step explanation:
The observer with 19.5° of elevation will be denoted by 1
The observer with 31.2° of elevation will be denoted by 2.
Here we have two right triangles. Both of them have the same opposite sides, so will be useful to use the tangent function.
For the second observer:
[tex]tan(31.2)=\frac{h}{x}[/tex] (1)
Where:
h is the opposite sidex is the adjacent side (distance from the observer 2 to the point where the angle of elevation is 90° )For the first observer:
[tex]tan(19.5)=\frac{h}{5+x}[/tex] (2)
Where:
h is the opposite side5+x is the adjacent side (distance from the observer 1 to the 90° elevation point, 5 miles is the distance between observes )Let's find x from equations (1) and (2). Both of them have the variable "h" so we can equal these equations.
[tex]xtan(31.2)=(5+x)tan(19.5)[/tex]
[tex]x(tan(31.2)-tan(19.5))=5tan(19.5)[/tex]
[tex]x=\frac{5tan(19.5)}{tan(31.2)-tan(19.5)}[/tex]
[tex]x=7.04\: miles[/tex]
Now, if we use the right triangle with 19.5° of elevation, the hypotenuse will be the distance from the helicopter and the further observer (let's call d).
Let's use the cosine function to find d.
[tex]cos(19.5^{\cric})=\frac{5+x}{d}[/tex]
[tex]d=\frac{5+7.04}{cos(19.5^{\cric})}[/tex]
[tex]d=12.77\: miles[/tex]
I hope it helps you!
ANSWER ASAP CORRECT ANSWER GETS BRAIN THINGY!!!
Given the spinner below, the
probability of landing on an
A is . Predict how many times you would land on an A if you spun the spinner 24 times
A. 8
B. 9
C. 10
D. 12
Answer:
B. 9
Step-by-step explanation:
The probability of landing on A is 3/8. Now, multiply the fraction by the number of times it will be spun.
3/8 × 24 = 9
Hope this helps!
Answer:
9 times
Step-by-step explanation:
Probability for landing on A is 3/8. So, for every 8 times you spin, you predict that you will land on A 3 times (3 times out of 8 spins).
So you either
A.) multiply the probability by the total spins:
(3/8) * (24) = 9 times you land on A
or
B.) divide the 24 spins by 8, to get 3 different repeats of the probability.
So 3 * 3 = 9 times.
Can anyone asnswer any of these questions?? I don't get this topic
Answer:
one
Step-by-step explanation:
one
PLEASEEEEE HELPPPPPPPP
Answer:
142.5
Step-by-step explanation:
It is 142.5 because when finding area you have to do base x height our base here is 15 and are height is 9.5 so now that we know are base and height we just multiply! so 15 × 9.5 = 142.5 Hope this helps!
6 + y= -8 ????????????????
Answer:
y = -14
Step-by-step explanation:
6 + y = -8
Subtract 6 from both sides to get y by itself.
y = -14.
Proof:
6 + y = -8
Substitute the variable.
6 + (-14) = -8
Add the negative/Subtract.
-8 = -8.
Answer:
y=−14
Step-by-step explanation:
Let's solve your equation step-by-step.
6+y=−8
Step 1: Simplify both sides of the equation.
y+6=−8
Step 2: Subtract 6 from both sides.
y+6−6=−8−6
y=−14
brainliest please?The ratio of two sums of money is 5:7 if the smaller amount is $250, what is the largest amount?
Answer:
$350
Step-by-step explanation:
[tex]\frac{250}{y} :\frac{5}{7}[/tex]
y · 5 = 250 · 7
5y = 1750
5y ÷ 5 = 1750 ÷ 5
y = 350
Answer:
$350
Step-by-step explanation:
5 is to 250 as 7 is to 'x'
5/250 = 7/x
cross-multiply:
5x = 1750
x = 350
JOeseph uses a sports drink mix. The mix is 25% orange juice and 65% cranberry juice and 10% Sprite. His bottle holds 8 cups of drink. How much cranberry juice does she need to fill the bottle?
Answer:
Cranberry juice needed to fill the bottle = 5.2 cups
Step-by-step explanation:
sports drink mix:
Orange juice = 25%
Cranberry juice = 65%
Sprite = 10%
His bottle holds 8 cups of drink.
How much cranberry juice does she need to fill the bottle?
Cranberry juice needed to fill the bottle = 65% of 8 cups
= 65/100 × 8
= 0.65 × 8
= 5.2 cups
Cranberry juice needed to fill the bottle = 5.2 cups
Orange juice needed to fill the bottle = 25% of 8 cups
= 25/100 × 8
= 0.25 × 8
= 2 cups
Orange juice needed to fill the bottle = 2 cups
Sprite needed to fill the bottle = 10% of 8 cups
= 10/100 × 8
= 0.1 × 8
= 0.8 cups
Sprite needed to fill the bottle = 0.8 cups
pls and thanks Solve the equation 4(c-3) = 8 what is the value of c
Answer: C=5
Hope this helps!
please answer quickk
Answer:
t + 25 = 26
t = 26 - 25
t = 1
I hope it's helps you
what percentage of 4 m is 20 cm
Answer: 5%
Step-by-step explanation:
1 m = 100 cm
20 cm/100 = 0.2m
0.2/4 = 0.05
0.05 x 100 = 5%
Answer:
5%
Step-by-step explanation:
Armando took his dog, Tasha, to the vet. Tasha was placed on the scale and weighed 45.72 pounds. The veterinarian told Armando that Tasha’s breed should weigh no more than Thirty-six and one-half pounds. Armando calculated about how much weight Tasha should lose to be under the breed’s maximum weight. 45.72 rounds to 45 rounds to 37 45 – 37 = 8 pounds Which statements are true about Armando’s calculations? Check all that apply. Armando should have added 37 to 45. Armando should have rounded 45.72 to 45.5. Armando should not have rounded Thirty-six and one-half to 37. Armando should have calculated that the difference between 45 and 37 is 7. Armando’s last step should have shown 45.5 Minus thirty-six and one-half = 9.
Answer: 17 pounds
Step-by-step explanation:
Jello someone help is this correct answer
No links or files
Correct answer please
Answer:
c is the right answer
Step-by-step explanation:
ILL GIVE YOU BRAINLIEST!! 33 POINTS!!!
(ONLY IF YOU GET IT CORRECT)
Answer:
80 ft
Step-by-step explanation:
the length of an arc is equal to the degree the arc makes
Answer:
A. 28π/9 ftStep-by-step explanation:
Arc length is:
2πr*80°/360° ft = 4π*7/9 ft =28π/9 ftCorrect choice is A
How do you find the unknown length for a special right angel
Answer: Pythagorean theroem
Step-by-step explanation:
The easiest method to use in terms of a missing side as long as you know at least two other variables whether its another side or angle
I invest $1,000 at 5% interest that compounds annually. How much will I have in 5 years?
Answer:
$250....................
Please help me!! How do I do this?
Answer:
I think 12 * 12/ 60 = ?
12*12= 144
144/ 60= ?
Answer:
360°
Step-by-step explanation:
I think
1/2 base ×height
1/2×60×12
30×12
=360
8 km
b
17 km
What is the length of the missing leg?
Find the area of the figure
Answer:
A = 76.912Step-by-step explanation:
Area of triangle with angle of 30°:
[tex]A_1=\frac12\cdot 5^2\cdot\sin(30^o)=\dfrac{25}4=6.25[/tex]
Area of triangle with angle of 50°:
[tex]A_2=\frac12\cdot 5^2\cdot\sin(50^o)=\dfrac{25}2\cdot0.766=9.575[/tex]
Area of the rest of the figure:
[tex]A_3=\dfrac{(360-30-50)^o}{360^o}\cdot\pi\cdot5^2=\dfrac79\cdot\pi\cdot25 =61.087[/tex]
Therefore:
[tex]A=A_1+A_2+A_3=6.25+9.575+61.087=76.912[/tex]
Drag a company name into each box to show the total cost from least to greatest.
Answer:
Company A:
$3 each6% for shipping150*3*1.06 = $477 total costCompany B:
$3.10 each4% for shipping150*3.1*1.04 = $483.60 total costCompany C:
$3.20 eachNo shipping charge150*3.2 = $480 total costLeast cost | Medium cost | Greatest cost
Company A | Company C | Company B
The function ggg models the number of mosquitoes (in millions of mosquitoes) in a certain area as a function of rainfall (in centimeters) in that area. Which of these statements are true? Choose all answers that apply: Choose all answers that apply: (Choice A) A More rainfall relates to more mosquitoes as long as rainfall is less than 2\text{ cm}2 cm2, start text, space, c, m, end text. (Choice B) B More rainfall relates to more mosquitoes as long as rainfall is more than 2\text{ cm}2 cm2, start text, space, c, m, end text. (Choice C) C When there is no rainfall, there are about 111 million mosquitoes. (Choice D) D When there is no rainfall, there are about 222 million mosquitoes.
Answer:
(Choice A) A More rainfall relates to more mosquitoes, as long as rainfall is less than 2 cm²
Step-by-step explanation:
The given function for the number of mosquitoes, (by analysis of the options) is, g(x) = 4·x - x²
Where;
x = The amount of rainfall
g(x) = The number of mosquitoes in millions
The given function can be expressed as follows;
g(x) = 4·x - x² + 0
The maximum point is given by g'(x) = d(4·x - x²)/dx = 4 - 2·x = 0
At the maximum (turning point), we have;
4 - 2·x = 0
4 = 2·x
x = 4/2 = 2
The level of rainfall that gives the maximum number of mosquitoes is, x = 2 cm²
The number of mosquitoes increases from zero rainfall up to the maximum number of 4 million mosquitoes at 2 cm² rainfall and then decreases to zero as the rainfall increases further more than 2 cm², as shown in the attached graph of the function g(x) that models the number of mosquitoes created with MS Excel
Therefore, the true statement is (Choice A) more rainfall relates to more mosquitoes, as long as (the level of) rainfall is less than (the maximum) 2 cm².
Consider a triangle ABC like the one below. Suppose that a = 47, b = 59, and A = 37" (The figure is not drawn to scale.) Solve the triangle,
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
If no such triangle exists, enter "No solution." If there is more than one solution, use the button labeled "or",
Answer:
B = 49.1°
C = 93.9°
c = 77.9
Step-by-step explanation:
Given:
a = 47, b = 59, and A = 37°
Required:
B, C, and c
Solution:
✔️To find B, apply the law of sines:
[tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} [/tex]
Plug in the values
[tex] \frac{sin(37)}{47} = \frac{sin(B)}{59} [/tex]
Cross multiply
[tex] 47*sin(B) = sin(37)*59 [/tex]
Divide both sides by 47
[tex] \frac{47*sin(B)}{47} = \frac{sin(37)*59}{47} [/tex]
[tex] sin(B) = 0.7555 [/tex]
[tex] B = sin^{-1}(0.7555) [/tex]
[tex] B = sin^{-1}(0.7555) [/tex]
B = 49.0690779° ≈ 49.1° (nearest tenth)
✔️C = 180° - (A + B) (sum of triangle)
C = 180° - (37° + 49.1°)
C = 93.9°
✔️To find c, apply the law of sines:
[tex] \frac{sin(B)}{b} = \frac{sin(C)}{c} [/tex]
Plug in the values
[tex] \frac{sin(49.1)}{59} = \frac{sin(93.9)}{c} [/tex]
Cross multiply
[tex] c*sin(49.1) = sin(93.9)*59 [/tex]
Divide both sides by sin(49.1)
[tex] c = \frac{sin(93.9)*59}{sin(49.1)} [/tex]
c = 77.8766982
c ≈ 77.9 (nearest tenth)
1.) Determine the type of solutions for the function (Picture 1)
2.) Determine the type of solutions for the function (Picture 2)
3.) Use the formula b2−4ac to determine the value of the discriminant of the function f(x)=2x2+8x+6
Use Desmos Scientific (Picture 3)
4.) Describe the transformations of the function
g(x)=−25(x−4)2+6 from the transformation of the parent function
Use phrases such as: the graph is reflected or not reflected/ the graph gets wider or narrower/ the graph slides left or right _________ units and slides up or down _________ (Picture 4)
Answer:
1) 2 nonreal complex roots
2) 1 Real Solution
3) 16
4) Reflected, narrower by a factor of 2/5, slides right 4 units and slides up 6 (units)
Step-by-step explanation:
1) The graph does not intercept the x-axis, therefore, there are no real solutions at the point y = 0
We get;
y = a·x² + b·x + c
At y = 6, x = -2
Therefore;
6 = a·(-2)² - 2·b + c = 4·a - 2·b + c
6 = 4·a - 2·b + c...(1)
At y = 8, x = 0
8 = a·(0)² + b·0 + c
∴ c = 8...(2)
Similarly, we have;
At y = 8, x = -4
8 = a·(-4)² - 4·b + c = 16·a - 4·b + 8
16·a - 4·b = 0
∴ b = 16·a/4 = 4·a
b = 4·a...(3)
From equation (1), (2) and (3), we have;
6 = 4·a - 2·b + c
∴ 6 = b - 2·b + 8 = -b + 8
6 - 8 = -b
∴ -b = -2
b = 2
b = 4·a
∴ a = b/4 = 2/4 = 1/2
The equation is therefor;
y = (1/2)·x² + 2·x + 8
Solving we get;
x = (-2 ± √(2² - 4 × (1/2) × 8))/(2 × (1/2))
x =( -2 ± √(-12))/1 = -2 ± √(-12)
Therefore, we have;
2 nonreal complex roots
2) Give that the graph of the function touches the x-axis once, we have;
1 Real Solution
3) The given function is f(x) = 2·x² + 8·x + 6
The general form of the quadratic function is f(x) = a·x² + b·x + c
Comparing, we have;
a = 2, b = 8, c = 6
The discriminant of the function, D = b² - 4·a·c, therefore, for the function, we have;
D = 8² - 4 × 2 × 6 = 16
The discriminant of the function, D = 16
4.) The given function is g(x) = (-2/5)·(x - 4)² + 6
The parent function of a quadratic equation is y = x²
A vertical translation is given by the following equation;
y = f(x) + b
A horizontal to the right by 'a' translation is given by an equation of the form; y = f(x - a)
A vertical reflection is given by an equation of the form; y = -f(x) = -x²
A narrowing is given by an equation of the form; y = b·f(x), where b < 1
Therefore, the transformations of g(x) from the parent function are;
g(x) is a reflection of the parent function, with the graph of g(x) being narrower by 2/5 than the graph of the parent function. The graph of g(x) is shifted right by 4 units and is then slides up by 6 units.
Josh orders 12 soccer jerseys for his team, including his coach. He pays a total
of R594,60 for the jerseys. What did each jersey cost?
Answer:
4955
Step-by-step explanation:
soccer jerseys--> 12
total--> R 59460
= 59460 divided by 12
= 4955
Ans: Each jersey costs R 4955.
thenks and mark me brainliestt pls :))
Simplify the expression and choose the appropriate result.
3 (2+39)
Answer:
setup below, you'll have to do the final calculation
Step-by-step explanation:
first perform the operation in parenthesis
2+39= 41
then do the multiplication 3 x 41
in general do calculations in this order
1. Parenthesis
2. Multiplication
3. Division
4. Addition
5. Subtraction
working from left to right
A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 16 % are pennies and 30 % are dimes. There are 2 more nickels than pennies. How much money does the bag contain?
Based upon risk, which of the following answers ranks from high to low?
Collectables
Bonds
Stocks
Mutual Funds
Answer:
stocks, bonds, mutual funds, and collectables
Step-by-step explanation:
The perimeter of a square is 28 cm.
a) Write an equation you can solve to find
the side length of the square.
b) Solve the equation.
Y=x2= is that a function?