Answer:
C. 20 Ft.
Step-by-step explanation:
Using The Pythagorean Theorem, a²+b²=c² , insert the known variables into the equation.
18.7²+6²=c²
This gives you 385.69 + 36 = 385.69.
Next, square the result to find the missing side length.
[tex]\sqrt{385.69[/tex]
The answer comes out to around 19.6, which can be rounded up to 20ft.
Hope this helped!
Find the area of the figure.
A) 96cm
B) 110cm
C) 120cm
D) 150cm
Answer:
A
Step-by-step explanation:
Answer:
209952=Area
56=Perimeter
Step-by-step explanation:
3*3*2*2*9*9*6*12=Area
3+3+2+2+9+9+6+12=Perimeter
The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 4 cm/s. When the length is 15 cm and the width is 12 cm, how fast is the area of the rectangle increasing
Answer:
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
Step-by-step explanation:
Geometrically speaking, the area of a rectangle ([tex]A[/tex]), in square centimeters, is described by following expression:
[tex]A = w\cdot l[/tex] (1)
Where:
[tex]w[/tex] - Width, in centimeters.
[tex]h[/tex] - Height, in centimeters.
By Differential Calculus, we find an expression for the rate of change of the area of the rectangle ([tex]\dot A[/tex]), in square centimeters per second:
[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex] (2)
Where:
[tex]\dot w[/tex] - Rate of change of the width of the rectangle, in centimeters per second.
[tex]\dot l[/tex] - Rate of change of the length of the rectangle, in centimeters per second.
If we know that [tex]w = 12\,cm[/tex], [tex]l = 15\,cm[/tex], [tex]\dot w = 4\,\frac{cm}{s}[/tex] and [tex]\dot l = 9\,\frac{cm}{s}[/tex], then the rate of change of the area of the rectangle is:
[tex]\dot A = \dot w\cdot l + w\cdot \dot l[/tex]
[tex]\dot A = 168\,\frac{cm^{2}}{s}[/tex]
The area of the rectangle is increasing at a rate of 168 square centimeters per second.
10 points!!!!!!! Plssssss helpppppp
A jar contains n nickels and d dimes. There is a total of 257 coins in the jar. The value of the coins is $17.35. How many nickels and how many dimes are in the jar?
Answer:
Here's what we know:
n + d = 20 (there are a total of 20 nickels and dimes)
.05n + .1d = 1.4 (total change equals $1.40)
There are a couple of ways to solve this. You can go the elimination method by multiplying the second equation by an amount to get rid of a variable, or we can go substitution by isolating a variable in the first equation. I'll go with elimination in this case:
-10(.05n + .1d = 1.4) this will cause the d-variable to equal 0:
n + d = 20
-.5n - d = -14
------------------
.5n = 6
n = 12
Now that we know n, we can solve for d:
12 + d = 20
d = 8
Check:
.05 * 12 + .1 + 8 = 1.4
.6 + .8 = 1.4
1.4 = 1.4
Step-by-step explanation:
simplify the expression by using the distributive property 3(7y+4)
Answer:
3(7y+4) multiply the inner to 3 so, 21y+12
Hi there!
Let’s distribute 3 by multiplying it by everything inside the parentheses:
3 * 7y = 21
3 * 4 = 12
21y+12 (Answer)
Hope you find it helpful.
Feel free to ask if you have any doubts.
-Sparkle-
all that make this true i need help
Answer:
D and E
Step-by-step explanation:
3(23+18)=123
6(18)=108. 6(19)=114. 6(20)=120. 6(22)=132. 6(24)=144
please help
85-v=213
solve for v
Step-by-step explanation:
subtract the whole equation by 85 on both sides to get v by itself on the left side
85-85-v=213-85
-v=128
Now we divide the whole equation by negative 1
-1v/-1=128/-1
v=-128
Hope that helps :)
a quadratic patterns has a second term equal to 1,a third term equal to -6 and fifth term equal to -14 .hence or otherwise calculate the first term of the pattern
Answer:
first term of the pattern (T₁) : 10
Step-by-step explanation:
T₁ ; 1 ; -6 ; T₄ ; -14
1-T₁ ; -6-1 ; T₄-(-6) ; -14 -T₄ (First Tₙ-Tₙ₋₁)
-8+T₁ = T₄+13 = -2T₄-20 (2nd Tₙ-Tₙ₋₁ is constant)
T₄+13 = -2T₄-20 3T₄ = -33 T₄ = -11
-8+T₁ = T₄+13 -8 + T₁ = -11 + 13 = 2
T₁ = 10
Need help with this asap!!
Answer:
≈ 53.7° (Option 3)
Step-by-step explanation:
In the figure given above , the lengths of other two sides (excluding hypotenuse) are known to us. So , it would be convenient to use 'tan'.
Length of side opposite to angle 'x' = 15 cm
Length of side adjacent to angle 'x' = 11 cm
Using 'tan' formula - [tex]\tan x = \frac{Side \: opposite \: to \: x}{Side \: adjacent \: to \: x}[/tex] , lets solve this.
[tex]=> \tan x = \frac{15}{11}[/tex]
Using inverse tan function , lets find x.
[tex]=> x = {\tan}^{-1}(\frac{15}{11} )[/tex] ≈ 53.74°
is the table linear or not
Answer:
No, the table is not linear.
Step-by-step explanation:
Between the x and y there has to be a constant rate. There is no constant rate.
What is the volume of the figure shown below?
Answer:
31 in
Step-by-step explanation:
Answer:
The volume of the figure shown below is 31 inches
Step-by-step explanation:
Just trust me ;)
Use the equation below to find y, if m=6, x=4, and b= 15. y=mx-b
Answer:
9
Step-by-step explanation:
Y = MX-B,
therefore Y = (6*4) - 15,
so Y = 24 - 15
Y = 9
A foreign-car dealer with warehouses in New York and Baltimore receives orders from dealers in Philadelphia and Trenton. The dealer would to minimize the shipping cost. The dealer in Philadelphia needs 3 cars and the dealer in Trenton needs 8. The New York warehouse has 5 cars and the Baltimore warehouse has 9. The cost of shipping cars from Baltimore to Philadelphia is $120 per car, from Baltimore to Trenton $90 per car, from New York to Philadelphia $100 per car, and from New York to Trenton $70 per car. Let x be the number of cars shipped from Baltimore to Trenton, and y be the number of cars shipped from Baltimore to Philadelphia. 5. Write the six inequalities associated with this problem.
Answer:
[tex]x \ge 0[/tex]
[tex]y \ge 0[/tex]
[tex]x + y \le 9[/tex]
[tex]8 - x \ge 0[/tex]
[tex]3 - y \ge 0[/tex]
[tex](8 - x) + (3 - y) \le 6[/tex]
Step-by-step explanation:
Given
x = Cars from Baltimore to Trenton
y = Cars from Baltimore to Philadelphia
Required
Write out 6 inequalities
First, 0 or more cars must be shipped to both locations
So:
[tex]x \ge 0[/tex]
[tex]y \ge 0[/tex]
Considering the warehouse in Baltimore.
(1) The warehouse can not ship more than the number of car it has (9).
So:
[tex]x + y \le 9[/tex]
Considering the warehouse in New York.
(1) After shipping cars to Trenton and Philadelphia, the warehouse will have 0 or more cars.
So:
[tex]8 - x \ge 0[/tex] --- To Trenton
[tex]3 - y \ge 0[/tex] --- To Philadelphia
(2) The warehouse cannot send out more than 6.
So:
[tex](8 - x) + (3 - y) \le 6[/tex]
So, the inequalities are:
[tex]x \ge 0[/tex]
[tex]y \ge 0[/tex]
[tex]x + y \le 9[/tex]
[tex]8 - x \ge 0[/tex]
[tex]3 - y \ge 0[/tex]
[tex](8 - x) + (3 - y) \le 6[/tex]
A 90 ounce bag of nuts has cashews and peanuts in it. The peanuts weight is 10 more than 3
times the weight of the cashews. Find the weight of the cashews and peanuts.
Answer:
20 ounces of cashews and 70 ounces of peanuts
Step-by-step explanation:
x+3x+10=90
4x+10=90
4x=80
x=20
The measures of the angles of a triangle are shown in the figure below. Solve for x
Answer:
x=17
Step-by-step explanation:
4x+8+44+60=180
4x+112=180
4x=180-112
4x=68
x=68/4
x=17
(x+6)/(x+1)=6/2
Solving proportions
Answer:
[tex]x = \frac{3}{2} [/tex]
Step-by-step explanation:
[tex] \frac{x + 6}{x + 1} = \frac{6}{2} [/tex]
[tex] \frac{6}{2} = 3[/tex]
so, the solution of the equation will be as follows:
[tex] \frac{x + 6}{x + 1} = 3[/tex]
3(x+1) = x + 6
3x + 3 = x + 6
3x - x = 6 - 3
[tex]x = \frac{3}{2} [/tex]
so, the answer will be x = 3/2
Please Help i give brainies
Step-by-step explanation:
[tex] \sqrt{3} is \: between \: 1.73and1.74[/tex]
jeremiah has a total of 144 pokemon cards 40 out of every 48 cards are not holographic cards at this rate how many of jeremiah cards are holographic
Answer:
120
Step-by-step explanation:
rate of a holographic card= 40/48=5/6.
Total number of holographic cards = 144*rate =144*5/6=120
Help answer this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D move 6 units to the left and land on -9
Step-by-step explanation:
The dolphin dove down meaning that it went 6 feet below sea level. that would mean -6. If you move 6 spaces to the left, you would land on -9. Hope this helps
Answer:
D. on the number line, move 6 units to the left. End at -9, the Dolphin was 9 feet below sea level
What is radiant energy from the sun called
Answer:
Solar rays
Step-by-step explanation:
Either that or uv rays
Answer:
Electromagnetic Radiation
Step-by-step explanation:
Angle A and Angle B are vertical angles. If Angle A measures 45 degrees,
what does Angle B measure.

Answer:
135
Step-by-step explanation:
135+45=180
Erin bought 4 jars of jelly and 6 jars of peanut butter for $19.32. Adam bought 3 Jars of jelly
and 5 jars of peanut butter for $15.67.
Use x for jars of jelly and y for jars of peanut butter, write the equation for either Erin or Jack.
DO NOT SOLVE
(Worth 10 points)
Here is your system of equations in two variables.
Equation for Erin:
4x + 6y = 19.32
Equation for Adam:
3x + 5y = 15.67
That's it.
4. Patti and her friends want to see one of
two movies. One movie starts in 1 day
2 hours 20 minutes. The other movie
starts in 1 day 4 hours 10 minutes. The
later movie starts at 5:00 P.M. At what
time does the earlier movie start?
Answer:
The earlier movie starts at 1610 (4:10 PM)
Step-by-step explanation:
The later movie starts at 1700 (5:00 PM), and is in 1 day, 4 hours and 10 minutes. That means the time is __:50. Additionally, it's in 4 hours. 1700 - 400 = 1300 (1:00 PM). Now we know the time is 1350 (1:50 PM) presently.
If it's currently 1:50 PM, and the earlier movie starts 2 hours from this time tomorrow, then it begins at 1350 + 200 = 1550 (3:50PM). Take into account that there's also another 20 minutes before the movie commences, it will be 1610 (4:10 PM).
Good luck!!
ANSWER BOTH QUESTIONS
Answer:
a and c
Step-by-step explanation:
State if the triangles in each pair of similar. If so, state how you know they are similar and complete the similarity statement.
triangle UTS~ ____
a. similar, AA, UED
b. similar, SSS, UDE
c. similar, SAS, UDE
d. not similar
Answer:
triangle UTS~∆UED by AAA axiom
Find the unit rate.. If a family travels in their mini-van for 465 miles and uses 15 gallons of gas what is the mileage per gallon?
10 points
The opposite of 1.5 is ? So the opposite 1.5 ? Which is equal to the opposite of ? Which is ? The second statement is ?
Select the measures that are equal to 3 gallons. Mark all that apply.
6 quarts
12 quarts
6 pints
12 pints
24 pints
20 cups
Answer:
12 quarts 24 pints
Step-by-step explanation:
change all measurements to gallons and solve.
1 quart= 2 pints
1 galllon = 8 pints
Answer:
12 quarts 24 pints
Step-by-step explanation:
change all measurements to gallons and solve.
1 quart= 2 pints
1 gallon = 8 pints
Need help on this question
Answer:
Step-by-step explanation:
arc between cars = 360°/25 = 14.4°
θ = 14.4° × π/180 ≅ 0.2512 radian
r = 150/2 = 75 ft
s = rθ = 75×0.2512 = 18.84 ft
area of circle = πr² = 75²π ≅ 17,662.5 ft²
area of sector = 17,662.5/25 = 706.5 ft²
Let X and Y be the following sets:
X = {10,20,30}
Y = {5, 10, 15, 20}
Which of the following is the set XY?
Answer:
{10;20}
Step-by-step explanation:
X & Y = {10;20}