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frutty [35]
4 years ago
6

LOTS OF POINTS!!! SOLVE ANd EXPLAIN PROBLEM 8

Mathematics
1 answer:
alexandr1967 [171]4 years ago
3 0

Answer:

r≈2.26in

Step-by-step explanation:

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A number cube is a die (singular for dice). List all of the possible outcomes of a die (list numbers of 1 to 6), and next to those numbers, determine if they are even or odd.
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Write the point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1).
andrey2020 [161]
Formula of the slope of a linear function:


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m= -7/5 This is the slope requested
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A bag contains five red marbles, four blue marbles, and four yellow marbles. You randomly pick a marble. What is the probability
Vikentia [17]

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7 0
3 years ago
Given the right triangle shown below.if Cos A =15/17 and tan A=8/15 which of the following represents the length of BC
otez555 [7]

Answer:

The Figure for Right triangle is below,

Therefore , 15 unit length represents BC.

Step-by-step explanation:

Given:

Consider a right triangle ABC, Such that

\cos A=\dfrac{15}{17}\\\\\tan A=\dfrac{8}{15}

To Find:

BC = ?

Solution:

In Right Angle Triangle ABC, Cosine and Tangent identity

\cos A = \dfrac{\textrm{side adjacent to angle C}}{Hypotenuse}\\

\tan A= \dfrac{\textrm{side opposite to angle A}}{\textrm{side adjacent to angle A}}

BUT,

\cos A=\dfrac{15}{17}\\\\\tan A=\dfrac{8}{15} ....Given

On Comparing,

Adjacent side to angle A = AB = 15

Opposite side to angle A = BC = 8

Hypotenuse = AC =17

Also Pythagoras theorem is Satisfies,

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

(\textrm{Hypotenuse})^{2} = 17^{2}=289

(\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}=15^{2}+8^{2}=289

The Figure for Right triangle is below,

Therefore , 15 unit length represents BC.

7 0
3 years ago
A horizontal trough is 16 m long, and its end are isosceles trapezoids with an altitude of 4 m, a lower base of 4 m, and an uppe
Ganezh [65]

Answer:

0.28cm/min

Step-by-step explanation:

Given the horizontal trough whose ends are isosceles trapezoid  

Volume of the Trough =Base Area X Height

=Area of the Trapezoid X Height of the Trough (H)

The length of the base of the trough is constant but as water leaves the trough, the length of the top of the trough at any height h is 4+2x (See the Diagram)

The Volume of water in the trough at any time

Volume=\frac{1}{2} (b_{1}+4+2x)h X H

Volume=\frac{1}{2} (4+4+2x)h X 16

=8h(8+2x)

V=64h+16hx

We are not given a value for x, however we can express x in terms of h from Figure 3 using Similar Triangles

x/h=1/4

4x=h

x=h/4

Substituting x=h/4 into the Volume, V

V=64h+16h(\frac{h}{4})

V=64h+4h^2\\\frac{dV}{dt}= 64\frac{dh}{dt}+8h \frac{dh}{dt}

h=3m,

dV/dt=25cm/min=0.25 m/min

0.25= (64+8*3) \frac{dh}{dt}\\0.25=88\frac{dh}{dt}\\\frac{dh}{dt}=\frac{0.25}{88}

=0.002841m/min =0.28cm/min

The rate is the water being drawn from the trough is 0.28cm/min.

3 0
4 years ago
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