Answer:
33.8
Step-by-step explanation:
a²+b²=c²
15²+b²=37²
225+b²=1369
-225 -225
b²=1144
√1144
b=33.8
The distance from the bottom of the ladder to the bottom of the building would be 33.8 foot.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
If you place a 37-foot ladder against the top of a 15-foot building.
Let BC be the distance from the bottom of the ladder to the bottom of the building.
[tex]|AC|^2 = |AB|^2 + |BC|^2 \\15^2+BC^2=37^2\\225 + BC^2=1369\\BC^2 = 1369 - 225\\\\BC^2 = 1144\\\\BC = 33.8[/tex]
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A container shaped like a rectangular prism is filled with sugar.It measures 14 inches by 6 inches by 3.5 inches.How much sugar does the container hold?
Answer:
294 in^3
Step-by-step explanation:
Sugar it can hold can be determined by calculating the volume of the prism
volume of a prism = length x width x height
14 x 6 x 3.5 = 294 in^3
12 yd. 3 yd. 9 yd. 6 yd. Find the area of the shape. 39 square yards 56 square yards 72 square yards 106 square yards
It it was a whole rectangle: 12 x 9 = 108 square yards
Subtract the cut out area: 6 x (9-3) = 6 x 6 = 36 square yards
Total area = 108 - 36 = 72 square yards
Which of the following statements is true?
Answer:
C is correct both have 7 as y intercept
Answer:
Situation 1 has a greater slope I believe
It might be C also.
Correct me if i'm wrong.
Fine as has a Z-score of 2.23 on his SAT. How did he do compared to the rest of his students?
a) There is not enough information given.
b) he did the same as most other students
c) he did worse than most other students
d) he did better than most other students.
I don’t understand this plz help
Answer:
2sqrt(5)
Step-by-step explanation:
Using Fourmla of distance between two points
5. (MGSE9-12.A.CED.2, MGSE9-12.F.BF.1) Which equation is equivalent to f(x) =
-3(x - 2)2 + 14?
A. f(x) = -3x2 + 2
B. f(x) -3x² +26
*C. f(x) = -3x2 - 4x + 18
D. f(x) = -3x2 + 12x + 2
helpppppppppppp plzzzzzzzzzxzx
Answer:
The answer would be A. :)
Sheldon picks tomatoes from his garden. He picked 5 3/10 kg, but 1.5 kg were rotten and had to be thrown away. How many kilograms of tomatoes were not rotten?
A. 4 8/10 kg.
B. 3 4/5 kg.
C. 3 5/10 kg.
D. 3 8/10. kg.
#2 find the r and h
find the surface area as we
Answer:
2) 96
3) 121
Step-by-step explanation:
2) 8 x 12 = 96
3) 11 x 11 = 121
Answer:
surface area of the cyclinder=2πr²+2πrh
=(2×3.14×12²)+(2×3.14×12×8)
=904.32+602.88
=1507.2mi²
please show work, thanks
Answer:
4) 1400 [tex]in^3[/tex]
5) 304[tex]\Pi[/tex] or 954.56[tex]yd^3[/tex]
6) 315 [tex]ft^2[/tex]
Step-by-step explanation:
[tex]4)[/tex]
[tex]V = \frac{lwh}{3} = \frac{20*20*10.5}{3} = \frac{4200}{3} = 1400[/tex]
[tex]5)[/tex]
[tex]A = \Pi(\frac{D}{2})^2 = \Pi(\frac{8}{2})^2 = \Pi*4^2 = 16\Pi[/tex]
[tex]V = A * h = 16\Pi * 19 = 304\Pi = 304 * 3.14 = 954.56[/tex]
[tex]6)[/tex]
[tex]h^2 = 8^2 + 8^2 => h^2 = 64 + 64 = 128 => h =\sqrt{128}[/tex]
[tex]A_1 = 2(\frac{8*\sqrt{128}}{2}) = 8*\sqrt{128} = 32 = 90.5[/tex]
[tex]A_2 = 2(14 * 8) = 2*112 = 224[/tex]
[tex]A = A_1 + A_2 = 91 + 224 = 315[/tex]
Elijah bought a chest of drawers originally priced at $50.40 but on sale for 40% off. After 6.25% sales tax, what was the total cost
Answer:
$32.13
Step-by-step explanation:
IXL
The total cost will be;
⇒ $32.05
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Elijah bought a chest of drawers originally priced at $50.40 but on sale for 40% off.
Now,
Since, Elijah bought a chest of drawers originally priced at $50.40 but on sale for 40% off.
Hence, The sale price = 40% of $50.60
= 40/100 × $50.60
= $20.24
Thus, The price chest of drawers become = $50.40 - $20.24
= $30.16
Since, The sales tax = 6.25%
Hence, The sales price = 6.25% of $30.16
= 6.25/100 x 30.16
= $1.89
Thus, The total cost = $30.16 + $1.89
= $32.05
Therefore, The total cost will be;
⇒ $32.05
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Sydney asked her friends to write down the number of hours they practice their instruments each week. The data is shown.
1,6,6, 5, 2, 2, 0, 5, 6, 7
What is the median of the data?
O A 2
OB. 4
O c. 5
OD. 6
O E. 7
Can one of you lovely people help me please ?
Answer:
the answer is
C. = x=22.82
(~‾▿‾)~
what's the answer ?
[tex] \sqrt{ {4}^{4} \times 0} [/tex]
Answer:
/~ 4× 4= 4^2= +4
Step-by-step explanation:
I dont have the right lines so ill show you from another example
Answer:
Solution given;
[tex] \sqrt{ {4}^{4} \times 0} [/tex]
[tex] \sqrt { 0} [/tex]=0
What do we call the vertical axis?
y-axis is the vertical axis on the Cartesian coordinate plane. ... A y-axis is the line on a graph that is drawn from bottom to top. This axis is parallel to which coordinates are measured. The numbers placed on the y-axis are called y-coordinates
Answer:
On the Cartesian coordinate plane, the y-axis is the
vertical axis. A y-axis is a line drawn from bottom to top ona graph.
This axis runs parallel to the axis along which coordinatesare measured. The numbers on the y-axis are referred to as y-coordinates.
Step-by-step explanation:
-
the cost of fun for kids magazine for x number of months is shown below
The cost (C) of another magazine, Family Fun, for x number of months is
given by C-1.99x.
The cost of another magazine, Kidz Comics, is $1.85 for each month. The
annual subscription includes a delivery charge of $10, while the annual
subscription for Fun for kids and Family Fun has no such extra charge
Which annual subscription costs the most?
Answer:
Kidz comic costs the most
Step-by-step explanation:
Given
Family Fun
[tex]C(x) = 1.99x[/tex]
Kidz Comics
[tex]m = 1.85[/tex] --- monthly rate
[tex]b = 10[/tex] --- delivery charge
Required
Which is more expensive
A linear function is represented as:
[tex]f(x) = mx + b[/tex]
Where
[tex]m = rate[/tex]
[tex]b = y\ intercept[/tex] --- i.e. the base charge
So, for Kidz comic; We have:
[tex]f(x) = mx + b[/tex]
[tex]C(x) = 1.85x + 10[/tex]
To calculate the annual cost, we set x = 12; i.e. 12 months.
So, we have:
[tex]C(x) = 1.99x[/tex] ---- Family Fun
[tex]C(12) = 1.99 * 12[/tex]
[tex]C(12) = 23.88[/tex]
[tex]C(x) = 1.85x + 10[/tex] --- Kidz comic
[tex]C(12) = 1.85*12 + 10[/tex]
[tex]C(12) = 22.2 + 10[/tex]
[tex]C(12) = 32.2[/tex]
By comparison
[tex]32.2 > 23.88[/tex]
Hence, Kidz comic is more expensive
This comes with no question
Answer:
It has to be 145 degrees.
Step-by-step explanation:
There would be 2 60's and one 95. 360-95-(60*2)=145.
A rappelling rope used for outdoor programs, rescue and industrial work, can safely support a weight "W" (in pounds) provided, where "d" is the rope's diameter (in inches). Determine the diameter of rope that would be needed to support a weight of at least 5,500 pounds.
Answer:
D = ( d * 5500 ) / W
Step-by-step explanation:
Diameter of rope " d " supports "w" weight
i.e. d = W
d ( inches ) = W ( pounds )
? ( inches ) = 5500 pounds
The Unknown diameter D ( ? ) = d * 5500 / W
Can someone help with this question
write the expanded from of the expression 4(2x-8)
Answer:
8x - 32
Step-by-step explanation:
Which lines are parallel to 8x + 4y = 5? Select all that apply.
A. y = –2x + 10
B. 16x + 8y = 7
C. y = –2x
D. y – 1 = 2(x + 2)
Answer:
A , B , C
Step-by-step explanation:
1) find the slope of the given line
slope = (-a/b) = (-8/4) = -2
two parallel lines have the same slope
A : correct
B : (-a/b) = -16/8 = -2 (correct)
C : correct
D : wrong (2 is different from -2)
Please someone help me!!!!:)
Answer:
275.4cm
Step-by-step explanation:
A = pi*r^2
r = 9
A = 3.14 * 9^2
A = 3.14 * 81
A = 275.4
Hope this helps!
PLEASE SOMEONE HELP IM SO CLOSE TO BEING DONE FOR THE YEAR
NO LINKS OR FILES
Answer:
Step-by-step explanation:
The negative out front only tells us which way the parabola will open. That means that the first one will open upside down, since it's got a negative out front. The value of the number that serves as the leading coefficient (the number stuck to the x-squared) determines how steep or wide-open the parabola's shape is. The leading coefficient in the first one is a 1, so it opens up exactly as wide as its parent graph does. The leading coefficient in the second one, a 2, means that the parabola will be skinnier or narrower than its parent. If the leading coefficient is greater than 1, the parabola will be narrower than its parent; if the leading coefficient is greater than 0 but less than 1, the parabola will open wider than its parent.
3) Find the percent of each number
38% of 50=
27% 300=
60% 75=
Answer:19, 81, 45
Step-by-step explanation:
pls give me a real answer and the correct one if u try to be a bot ill report you
Answer:
The value of expression 7m - 6 is 60
Step-by-step explanation:
Given expression;
7m - 6
The value of m = 8
Find:
The value of expression 7m - 6
Computation:
in given expression 7m - 6 , 7 and 6 are constant and m is a variable
Given that value of variable m is 8.
So, by putting value of variable m in the given expression.
7m - 6
7(8) - 6
56 - 6
60
The value of expression 7m - 6 is 60
type the correct answer in each box. if necessary, use / for the fraction bar(s). If a = 0.6 and b = 0.75, then a•b = ____ and a/b = _____
Answer:
If a=0.6 and b=0.75, then a·b=9/20 and a/b=4/5
Step-by-step explanation:
The value of a•b =0.045 and a/b = 8
What is fraction?A number expressed as a quotient, in which a numerator is divided by a denominator
given: a=0.6, b= 0.075
Now, a*b= 0.6*0.075
= 0.045
and, a/b
= 0.6/0.075
=8
Hence, a*b= 0.045 and a/b =8
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Solve for x: 4(x + 5) = 3(x - 2) -2(x + 2)
I’ll mark brainiest I need an answer ASAP
Answer:
1: D
2 (but actually 3) B
Step-by-step explanation:
Answer: x=-10
Step-by-step explanation:
4(x+5)=3(x-2)-2(x+2)
4x+20=3x-6-2x-4
Next combine like terms: 4x-3x+2x=-20-6-4
3x=-30
x=- 10
Find the fourth proportional of 5,9,4
Answer:
let
Step-by-step explanation:
let the third proportion be x
Since 5,9,4,x
5.x=9.4
5x=36
x=36/5
x=7.2
answer
In the circle below, AB=CD. Chord AB = 8x and chord CD = 2x + 3. Find
the value of x.
Help wit my math im struggling n ion understand
Answer:
y<-3/2x+1
Step-by-step explanation: