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podryga [215]
2 years ago
10

Please do this <33333

Mathematics
1 answer:
SashulF [63]2 years ago
4 0

We know that,

In a right-angled triangle,

Hypotenuse ² = Base ² + Height ²

1 – 10 ² = 6 ² + X ²

Or, X ² = 10 ² – 6 ²

Or, X ² = 100 – 36

Or, X ² = 64

Or, X = √ 64

Or, X = 8 Units

2– X² = 7² + 3²

Or, X² = 49 + 9

Or, X² = 58

Or, X = √58

Or, X = 7.61 Units ( Approx )

3 – 15 ² = EF ² + 9

Or, EF² = 15 ² – 9 ²

Or, EF ² = 225 – 91

Or, EF ² = 134

Or, EF = √ 134

Or, EF = 11.6 Inches ( Approx)

.II} 1 – Here the length of the ladder will be the hypotenuse.

Hence, Hypotenuse = 13 Metre

.Now, The vertical wall will be the height.

Hence, Height = 12 Metre

Distance of the foot of the ladder to the wall will be the base.

Let base be B.

Now, Hypotenuse ² = Base ² + Height ²

Or, 13² = B² + 12²

Or, B² = 13² – 12²

Or, B² = 169 – 144

Or, B² = 25

Or, B = √25

Or, B = 5 Metre

Hence, the distance of the foot of the ladder from the wall is 5 metre apart.

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The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). After translation, R' is the point (–11, –11). Fin
koban [17]

Answer:

The original coordinate of

R is (-5, -5)

The new coordinate of

R is (-11, -11)

The translation rule is ( x - 6, y - 6)

The original coordinate of

U is (-5, 1)

The new coordinate of

U is (-5 - 6, 1 - 6)

which is

(-11, -5)

U' = (-11, -5)

7 0
3 years ago
Solve the system by graphing. Select the solution(s).<br> y = x + 2<br> y = 0.5(x + 2)
faltersainse [42]

Answer:

Part 1) The solution is the point (-2,0)

Part 2) The solutions are the points (-2,0) and (0,2)

Step-by-step explanation:

Part 1

we have

y=x+2 -----> equation A

y=0.5(x+2) ----> y=0.5x+1 ---> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The solution is the point (-2,0)

see the attached figure N 1

Part 2

we have

y=x+2 -----> equation A

y=0.5(x+2)^2 ----> equation B

Solve the system by graphing

Remember that the solution of the system are the intersection points both graphs

using a graphing tool

The solutions are the points (-2,0) and (0,2)

see the attached figure N 2

4 0
3 years ago
A cone and a cylinder have the same radius and height. The volume of the cone is 100π (pi) cubic feet. What is the volume of the
murzikaleks [220]

Answer:

The volume of the cylinder is 300\pi cubic feet.

Step-by-step explanation:

From Geometry we remember that volumes of a cone and a cylinder with the same radius (R), measured in feet, and height (h), measured in feet, are defined by the following equations:

Cone

V_{co} = \frac{1}{3}\pi\cdot R^{2}\cdot h (1)

Cylinder

V_{cy} = \pi\cdot R^{2}\cdot h (2)

The ratio of the volume of the cylinder to the volume of the cone is:

\frac{V_{cy}}{V_{co}} = 3 (3)

If we know that V_{co} = 100\pi\,ft^{3}, then the volume of the cylinder is:

V_{cy} = 3\cdot V_{co}

V_{cy} = 300\pi\,ft^{3}

The volume of the cylinder is 300\pi cubic feet.

3 0
2 years ago
How do different function types compare?
Genrish500 [490]
They compare because there’s different problems to questions and different functions and some functions can match... your welcome:)
6 0
3 years ago
A woman 5 ft tall walks at the rate of 7.5 ft/sec away from a streetlight that is 10 ft above the ground. At what rate is the ti
lesya [120]
Height of the woman = 5 ft
Rate at which the woman is walking = 7.5 ft/sec
Let us assume the length of the shadow = s
Le us assume the <span>distance of the woman's feet from the base of the streetlight = x
</span>Then
s/5 = (s + x)/12
12s = 5s + 5x
7s = 5x
s = (5/7)x
Now let us differentiate with respect to t
ds/dt = (5/7)(dx/dt)
We already know that dx/dt = 7/2 ft/sec
Then
ds/dt = (5/7) * (7/2)
        = (5/2)
        = 2.5 ft/sec
From the above deduction, it can be easily concluded that the rate at which the tip of her shadow is moving is 2.5 ft/sec. 
8 0
3 years ago
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