Answer:
d = 97 m
Step-by-step explanation:
Given that,
The dimensions of the rectangular ceiling is 65 meters by 72 meters.
We need to find how much garland will Hector need to reach from one corner of the ceiling to the opposite corner. Let it is d. It will be the diagonal of the rectangle. We can find it using Pythagoras theorem as follows :
[tex]d=\sqrt{65^2+72^2} \\\\d=97\ m[/tex]
So, 97 m of garland Hector will needed to reach from one corner of the ceiling to the opposite corner.
A fireman's water hose shoots 320 kg of water each second against the door of a building. The velocity of the water is 20 m/s and the water strikes the door horizontally and doesnt bounce back. What average force is exerted by the stream of water?
Answer:
[tex]6400\ \text{N}[/tex]
Step-by-step explanation:
[tex]\dfrac{m}{t}[/tex] = Mass flow rate of water = 320 kg/s
[tex]m[/tex] = Mass of water on the door
[tex]t[/tex] = Time
[tex]v[/tex] = Velocity of water on the door = 20 m/s
Force is given by
[tex]F=\dfrac{m}{t}v\\\Rightarrow F=320\times 20\\\Rightarrow F=6400\ \text{N}[/tex]
The average force is exerted by the stream of water is [tex]6400\ \text{N}[/tex].
combine like terms -21a + 16a
A. -5a
B. 5a
Answer:
-5a
Step-by-step explanation:
-5a
Answer: b
Step-by-step explanation:
PLEASE HELP ASAP IT'S DUE TODAY Use the graph of the function below to answer the questions that follow.
Answer:
So for..
a. from: 2 to: 4
b. from: 0 to: 2 ( I believe this one, may be incorrect- sorry if so)
c. from: 6 to: 10 ( I believe also for this one, sorry if incorrect)
d. from: 5 to: 6 ( I beleive- that is what it looks like- sorry if incorrect)
e. They are staying at a constant rate, not changing, at rest...
Hope this helps!
A company is desinging a square prism. Its height is 3 yarss longer than a side of its base. The volume of the prism must be 20 cubic yards. Write a representative function for the volune of the solid..
Answer:
[tex]a^{2} (a+3) = 20\\OR\\a^3 +3a^2 -20 = 0[/tex]
Step-by-step explanation:
Given that:
There is a square prism which has height equal to 3 yards longer than that of the base of the prism.
Let the base of prism = [tex]a[/tex] units
As per question statement:
Height, [tex]h = (a+3)[/tex] units
Volume of the prism = 20 cubic yards
Now, we have to find a representative function that will represent the volume of the solid.
First of all, let us have a look at the formula for volume of a prism.
[tex]V = B\times h[/tex]
Where, [tex]B[/tex] is the area of base and
[tex]h[/tex] is the height of prism.
And the base is a square, whose area will be represented as:
[tex]B = Side \times Side[/tex]
Now, putting the values in the formula for Volume:
[tex]V = a^2(a+3) = 20\\OR\\a^3+3a - 20 =0[/tex]
Select the correct answer.
You're given three angle measurements of 30°, 70°, and 80°.
How many triangles can you construct using these measurements?
A. 0
B. 1
C. 2
D. Infinitely many
Answer:
The answer is not 1 or 0
I think its D. infinitely many
Step-by-step explanation:
Solve the system of equations by the substitution method.
y=5x+8 y=8x+9
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Answer:
whichever one corresponds with the answers you have will be right.
I need help pls help me
−k+3k
Use the substitution to solve the system.
-4x+3y=32
y=3x+19
x=
y=
Answer:
x=-5
y=4
(-5,4)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(−5,4)
A vegetarian restaurant used 6,680 ounces of spinach last month. This month, with a menu update, it used 10% more than that amount. How much spinach did the restaurant use this month?
Answer:
what subjet is this
Step-by-step explanation:
I WILL GIVE BRAINIEST Which statement is correct about the product of 9/10 and 7/8
Answer:
7/10 and 7/8 are both less than 1.
Step-by-step explanation:
The product must be less than either factor because when you multiply a number by less than 1, the number gets smaller.
3x-2y = 8
solve for y
Answer:
-4+3x/2
Step-by-step explanation:
Ashley has $9.05 in dimes and nickels. If she has a total of 108 coins, how many of each type does she have?
Answer:
[tex]73\:\mathrm{dimes},\\35\:\mathrm{nickels}[/tex]
Step-by-step explanation:
We can write the following system of equations:
[tex]\begin{cases}10d+5n=905,\\d+n=108,\\\end{cases}[/tex], where [tex]d[/tex] is the number of dimes she has and [tex]n[/tex] is the number of nickels she has.
Multiply the second equation by [tex]-5[/tex] and add both equations to solve for [tex]d[/tex]:
[tex]\begin{cases}10d+5n=905,\\-5d-5n=-540,\\\end{cases}\\5d=365,\\d=\fbox{$73$}[/tex].
Plug [tex]d=73[/tex] into any equation to solve for [tex]n[/tex]:
[tex]73+n=108, \\n=\fbox{$35$}[/tex]
There are 73 dimes and 35 nickels.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Ashley has $9.05 in dimes and nickels. If she has a total of 108 coins,
dime = 10
A nickel = 5
We can write the following system of equations;
10D + 5N = 905
N + D = 108 coins
where D is the number of dimes she has and N is the number of nickels she has.
Multiply the second equation by -5 and add both equations to solve for :
10D + 5N = 905
-5N -5 D = -540 coins
Use the Distributive Property:
Add the like terms:
5D = 365
Divide both sides by 5
D = 73
Plug D into any equation to solve for N
Nickels = 108 - 73 = 35
There are 73 dimes and 35 nickels.
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ2
Un auto A se desplaza por una carretera recta a una velocidad constante de 80 km/h otro auto B se localiza 30 km delante del auto a y se desplaza por la misma carretera a una velocidad constante de 60 km/h  ¿cuál es la regla de correspondencia de ambos autos? Y sutabla de valores?
Question in English:
Car A travels along a straight road at a constant speed of 80 km / h another car B is located 30 km in front of the car and it travels along the same road at a constant speed of 60 km / h cuál what is the rule of correspondence of both cars? And your table of values?
Plzzzzz give me Brainliest!!!!!
If you paid m dollars for a meal at a restaurant. Write an expression that will represent the amount you will pay, including a 15% tip
NEED HELP ASAP
5.2 divided by what =0.052 and 7,650 divided by what = 7.65
Answer:
a) 100, b) 1000
Step-by-step explanation:
First Answer:
5.2/x = 0.052
x = 5.2/0.052
x = 100
Second Answer:
7650/x = 7.65
x = 7650/7.65
x = 1000
Answer:
A). 100
B). 1000
Step-by-step explanation:
YOU CAN SEE EXPLANATION IN IMAGES.
HOPE THIS HELPS YOU...
solve the system of equations. 2x + 7y =3
x = -4y
x =
y =
Answer:
x = 3/2−7y/2
Step-by-step explanation:
hope this is correct
Gabriel works at a snack bar that sells drinks for $3, hot dogs for $5, and t-shirts for $15. In the last hour, Gabriel sold $60 wroth of each of items. How many of each item did Gabriel sell?
Write the correct order of letters to the finish line Example ABCGH
evaluate the following by writing it as a difference of two squares first : 104^2 - 96^2
Answer:
(502)2 - (498)2
Step-by-step explanation:
(502)2 - (498)2
Solution:
(502)2 -(498)2
Since the given algebraic expression is in the form of a2 – b2 so, here we will directly apply the formula a2 - b2 = (a + b) (a – b) to evaluate the difference of two squares.
HOPE IT HELPS YOU!!!The difference of the squares of, 104² - 96², can be written as: (104 - 96)(104 + 96).
It is evaluated as: 104² - 96² = 1,600
Recall:
The difference of two squares, i.e. x² - y², can be expressed and evaluated as;
x² - y² = (x - y)(x + y)Given:
104² - 96²
The difference can be expressed and evaluated as shown below:
104² - 96² = (104 - 96)(104 + 96)
104² - 96² = (8)(200)
104² - 96² = 1,600Therefore, the difference of the squares of, 104² - 96², can be written as: (104 - 96)(104 + 96).
It is evaluated as: 104² - 96² = 1,600
Learn more here:
https://brainly.com/question/17018316
kyler wanted to pay no more than$ 0.62 per litter of orange juice. if he purchased 12 litters for $7.58. Did he pay under $0.62?
Can someone please answer this quickly i'll give 16 pts
its based on unit rates
Answer:
No he payed $0.63 per liter.
Step-by-step explanation:
Okay to solve this you would divide the price payed by the number of liters purchased. So 7.58/12. When we divide this, we get 0.631666667. Rounded this is 0.63. So no he did not pay 0.62.
Rewrite in simplest terms: -4k - 9(-8k + 6)
Answer:
68k -54
Step-by-step explanation:
We will have to distribute the 9 first
-4k - 9(-8k + 6)
-4k + 72k - 54 (now we can combine the like terms)
68k -54 (since we can't simplify anything else it's done)
Triangle Deff is shown below. 110°, e, d, f, 135°
Answer:
Step-by-step explanation:
a° + 110° = 180° [Linear pair of angles]
a = 180° - 110°
a = 70°
b° + 135° = 180° [Linear pair of angles]
b = 180° - 135°
b = 45°
a + b + c = 180° [Triangle sum theorem]
45° + 70° + c = 180°
c = 180° - 115°
c = 65°
Therefore, a triangle similar to DEF will have an angle that measures 45 degrees, an angle that measures 70 degrees and an angle that measures 65 degrees.
What's the difference between period and cycle in math?
what is 5square times 34 times 10square.
Answer:
85,000
Step-by-step explanation:
(5 square) *34* (10 square)
I NEED HELP
I don’t know what to do!!
what is 5+5 plssssssssssssss!!!!! i need it now!!!!!!!!!!!! plsssssssssssssssssss
Answer:
Hmmmmmmmmm I think it’s 10....?
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Help!! Thank u and please
Answer:
150
Step-by-step explanation:
z^2. (x-y)
(5)^2. (9-3)
25. 6
150
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The expression (2x^2)^3 is equivalent to _____. ^this is for to remind that the 2 and 3 are exponents
a.6x2
b.6x5
c.8x6
Answer:
c
Step-by-step explanation:
(2x²)³ = 2³(x^(2×3))
=2³x⁶
=8x⁶
Matt read 65 pages in 50 minutes. He reads at a constant rate.
How many pages can Matt read per minute?
Answer:
78
Step-by-step explanation:
Can you give me brainliest please
Answer:
Give somuchcringe321 brainliest
Step-by-step explanation: