Answer:
4212 square feet.
Step-by-step explanation:
If the blueprint's scale is 1 inch : 9 feet.
Square both sides
(1in)² = (9ft)²
1in² = 81ft²
Given the gym's area as 52 square inches, hence;
52in² = x
Divide both expressions
1/52 = 81/x
x = 52 * 81
x = 4212ft²
Hence the area of the actual gym is 4212 square feet.
A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium hat costs $6.00. A large hat costs $7.00. He purchases three times as many medium hats as small hats. Using matrices, how many large hats did the coach purchase?
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.
Since a total of 47 hats where purchased, hence:
x + y + z = 47 (1)
Also, he spent a total of $302, hence:
5.5x + 6y + 7z = 302 (2)
He purchases three times as many medium hats as small hats, hence:
y = 3x
-x + 3y = 0 (3)
Represent equations 1, 2 and 3 in matrix form gives:
[tex]\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right][/tex]
Therefore he purchases 6 small hats, 18 medium hats and 23 large hats
Answer:
Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.
Since a total of 47 hats where purchased, hence:
x + y + z = 47 (1)
Also, he spent a total of $302, hence:
5.5x + 6y + 7z = 302 (2)
He purchases three times as many medium hats as small hats, hence:
y = 3x
-x + 3y = 0 (3)
Therefore he purchases 6 small hats, 18 medium hats and 23 large hats
Regina owns a book store. She sold 87, 94, 91, and 84 books on the first 4 days of this week. Regina wants to have a mean of 90 books sold after 5 days NEED IT FAST
Answer:
If Regina wants a mean of 90, she needs to sell 94 books on the 5th day.
Which expression is equivalent to 3x - (2x + 4) + 5?
x+1
x + 9
5x + 9
5x + 1
Answer:
x + 1
Step-by-step explanation:
3x - (2x + 4) + 5
3x - 2x - 4 + 5
x - 4 + 5
x + 1
help me pls! i'll mark u brainliest promised
Answer:
DF≅YZ
angle R≅angle N
XW≅TH
angle M ≅angle C
new coordinate=(2,1)
new coordinate=(0,2)
Reflection:
new coordinate=(5,-6)
new coordinate=(1,4)
Last one is already done
Step-by-step explanation:
A boat is spotted in the water with an angle of depression of 25degrees from the top of a lighthouse that is 89 feet tall. How far away , to the nearest foot, is the boat from the lighthouse ?
Answer:
191 Feet.
Step-by-step explanation:
Answer: Your answer should be 191!
Mrs. Thomas has two rolls of garden edging that are each 96 inches long.
She wants to make two new flower beds in her back yard. Each flower bed
will be bordered by one roll of the edging. One flower bed will be in the
shape of a quadrilateral. The other will be in the shape of a triangle.
Please answer all parts. I will give brainliest for correct answer!
Answer:
A) The total length of each edging in her scale drawing would be 19.2 centimeters.
B) Square or rectangle
C) angle α= 53.13 degrees
angle β= 36.87 degrees
height= 32 inches
base= 24 inches
hypotenuse 40 inches.
Step-by-step explanation:
Part A:
If the roll edging is 96 inches long and the scale chosen is
5inches = 1 cm
96inches /5= 19.2cm
The total length of each edging in her scale drawing would be 19.2 centimeters.
Part B:
The quadrilaterals such rectangle square right trapezoid have a pair of 90 degrees angles.
If we choose a square shape then all sides must be equal. And we have a length of 19.2 centimeters.
Dividing 19.2 by 4 gives 4.8 cm for each side.
Figure A shows a square and has 4 sides equal and 4 right angles.
If we choose a rectangle shape then 2 sides must be equal. We have a length of 19.2 centimeters.
Suppose the length is 2 times more than the width
which will give the dimensions as
2*2 x+ 2x= 6x ( length and width denoted by x)
Dividing 19.2 by 6 gives 3.2 cm for each width and 6.4 for the lengths.
Figure B shows a rectangle and has 2 sides equal and 4 right angles.
It depends on which quadrilateral you wish to choose.
Part C:
Using Pythagorus theorem if the base and altitude are given then the hypotenuse can be found out using the following formula.
c²= a² +b²
c²= 6.4² +4.8²
c²= 40.96+23.04= 64
c= √64 = 8
The third side must be equal to 8 centimeters.
Using the formula
Cos α= base / hypotenuse
Cos α=4.8/8
α= Cos (inverse) 4.8/8
α= Cos (inverse) 0.6
α= 53.13 degrees
So angle α= 53.13 degrees
All the angles in the triangle must be 180 degrees.
α + β + 90°= 180°
And angle β= 180-90-53.13= 36.869= 36.87 degrees
The actual dimensions of this triangle are
height= a= 6.4* 5= 32 inches
base= b= 4.8*5= 24 inches
hypotenuse= 8*5= 40 inches.
A zip line starts on a platform that is 40 meters above the ground. The anchor for the zip line is 198 horizontal meters from the base of the platform. How long is the zip line? help grifjin
Answer:
Solution given:
perpendicular distance =height [p]=40m
base or horizontal distance [b]=198m
Hypotenuse or zip line [h]=?
Now
By using Pythagoras law
h²=p²+b²
h²=40²+198²
h=√40804
h=202m
So the Zip line is 202m long.
Find the area of the trapezoid
Answer:
45
Step-by-step explanation:
helpppp pleaseee
NO LINK
Answer:
The graph increases
Step-by-step explanation:
Is 3 a solution to 3x + 5 = 5x + 6 - 2
Answer:
no
Step-by-step explanation:
it's X= 0.5
group like terms
3x - 5x = 6 - 2 - 5
simplify the equation
-2x = -1
divide through by the coefficient of X
x = 0.5
A hiker has 2 pairs of hiking shoes, 3 shirts, and 5 pairs of shorts to choose from. How does the number of combinations of shoes, shirts, and shorts change as the
hiker adds a new pair of shorts to his collection? Explain.
If the hiker adds
new pair of shorts to his collection, the new number of combinations is
which is
than
The original number of combinations is
the original number of combinations.
(Type whole numbers.)
Answer: 12
Step-by-step explanation:
There are 12 different combinations
If you base it off of the 2 pairs of shoes, each one goes over each shirt twice, and each pair of shorts will go over once
HELLLPPPPPPPPP PLEASEEEEEEE PLEASEEEE SOMEONE HELPPPPP
A) x = 15
steps:
90 = 5x + 15
-15 -15
75 = 5x
÷5 ÷5
15 = x
explanation:
< P is 90°
so you have the equation of < P equal 90 to find the x
B) < RQP = 33
steps:
2x + 3
2(15) + 3
30 + 3
33
explanation:
now that you know what x equals you just plug in 15 for the x and solve
5) A bag contains eight red
marbles and six blue
marbles. You randomly pick
a marble and return it to the
bag before picking another
marble. What is the
probabilty that the first
marble you picked was blue
and the second marble was
red? Record your answer as
a decimal to the
thousandths place (three
places past the decimal).
Answer:
P(B,R) = 24.490%
Step-by-step explanation:
P(B,R) = 6/14 x 8/14 which can be simplified to become 12/49 or 24.490%
i need an answer...............................
Answer:
8 i think
Step-by-step explanation:
Find the equation of the line
That is perpendicular to y=-2x+1 and contains the point (8,2)
Answer:
y=.5x-2
Step-by-step explanation:
If one line is perpendicular to another that means that their slopes are negative reciprocals
which means that the slope (or m in y=mx+b) is .5
so far we have
y=.5x+b
to solve for b we plug in (8,2)
2=.5(8)+b
2=4+b
-2=b
therefore our equation is
y=.5x-2
Answer:
hope it helps
stay safe healthy and happy.
help me please!!! asap!
Answer: C
Explanation: 3(2) = 6
Please help will mark brainliest
Answer:
The answer is 36.9
Step-by-step explanation:
Who are some good you tubers to watch?
Answer:
Cocomelon
Their videos are pretty good!
In Earth’s atmosphere, the speed of sound can be approximated using partial variation. The speed of sound is approximately 331 m/s at 0°C and approximately 343 m/s at 20°C.
Jenny yells out “Hello” in a canyon when the air
temperature is 10°C. It takes 1.4 s to hear her
echo. How far away is the wall of the canyon?
Which is the greatest common factor of
48 and 72?
A, 8
B, 12
C, 24
D, 48
Answer:
24
Step-by-step explanation:
Because we have to look at the GREATEST common factor.
8 and 12 are factors but they are not the greatest.
24 is the greatest common factor they both share.
An ice cream shop offers 6 different flavors of ice cream and 11
different toppings. How many choices are possible for a single
serving of ice cream with one topping?
Answer:
66
Step-by-step explanation:
Since these two events are independent, multiply the two probabilities together:
6*11 = 66 (choices)
PleaseeEEEE helpp!!!
45 POINTS
Answer:1.85+x=5.30
Step-by-step explanation: ez
Answer:
1.85 + x = 5.30
Step-by-step explanation:
It started of at 1.85 meters
After awhile it has reached a height of 5.30
If x represents the meters the tree has grown then x + 1.85 will equal 5.30 as the tree started off at 1.85 meters and reached a height of 5.30
A clothing store advertises that its prices are only 10% above cost. What is the store's profit on a coat that is advertised for $160?
Someone help me out with this need a quick respond
You have a job interview that is 330 miles away. If your average driving speed is 55 miles per hour, how long will it take you to get there? Show your work. Check your answer.
Someone help me out on this one please
Answer:
Angle GHM and Angle LKJ
Step-by-step explanation:
They are both marked the same with one line.
A town has a population of 2000 and grows at 4% every year. What will be the
population after 15 years, to the nearest whole number?
Answer:
[tex] \frac{4}{?100} \times \frac{2000}{?1} = 80 \\ \\ 2000 + 80 = 2080 \\ \\ 2080 \times 15 = 31200 [/tex]
Taylor collected 4 white shells and 9 grey shells. If she put all the shells in a bucket and randomly pulled one out, what is the probability that the shell would be white?
Answer:
4/13
Step-by-step explanation:
Add the number of eggs which is 13 so it shows that 13 eggs are in the bag and there are 4 white eggs so the probability of taking a white egg is 4/13
WORTH 30!!!
Find the value of tan theta, if cos theta= 4/5; 0< theta < 90
Answer:
I'm almost positive that A and D are wrong but please don't kill me if I'm wrong
Step-by-step explanation:
1 Pound = 16 ounces
2 Pounds 6 Ounces = blank ounces
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
38 ounces.Thanks.Hope it helps.Answer:
32 ounces........
..
Step-by-step explanation:
.................