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2 years ago

Find the measure of the angle indicated for 17 & 18

Mathematics

1 answer:

marusya05 [52]2 years ago

5 0

Answer:

17. 49

18. 62

Step-by-step explanation:

alright so all u gotta know here is that all triangles add up to 180 degrees

17. 50+83= 133

180-133= 49 degrees

18. 44+74= 118

180-118 = 62 degrees

You might be interested in

Which equation describes how the parent function, y = x cubed, is vertically stretched by a factor of 4?

storchak [24]

The equation that describes how the parent function, y = x³, is vertically stretched by a factor of 4 is y = 4x³.

<h3>We can find how the equation is vertically stretched below:</h3>

When an equation is vertically stretched, it means that the parent equation has been multiplied by a number that is more than one.

This means that the equation is multiplied by some factor.

It is given that we should describe how the parent function is vertically stretched by a factor of 4.

The parent function is given as y = x³.

Since the equation is said to be vertically stretched by a factor of 4, we must multiply the parent equation by 4 to stretch it.

Therefore, we have found the equation that describes how the parent function, y = x³, is vertically stretched by a factor of 4 to be y = 4x³.

Learn more about vertically stretching equations here: brainly.com/question/13671886

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4 0

2 years ago

Whats the answer to x+3/4=5/8

anyanavicka [17]

Answer:

Exact Form:

x=−18x=-18

Decimal Form:

x=−0.125x=-0.125

Step-by-step explanation:

Move all terms not containing xx to the right side of the equation

3 0

3 years ago

Read 2 more answers

17.

Marta_Voda [28]

Answer:

a) 50 meters

b) 2354 meters

c) 12 seconds

d) 24.13 seconds

Step-by-step explanation:

Hello!

<h3>a) How far is Lincoln above the ground when he shoots the gun?</h3>

We need to really understand what the variables represent in this question. Given that t is time, and h is height, the time at which he shoots the bullet will be 0, as the bullet hasn't started traveling yet. This means that we can solve for the original height of the bullet by plugging in 0 for time in the equation.

Equation: $h = -16t^2 + 384t + 50$

Plug in 0 for t:

$h = -16t^2 + 384t + 50$
$h = -16(0)^2 + 384(0) + 50$
$h = 50$

The height at which Lincoln shot the bullet is 50 meters.

We can also look at this graphically. The height of origin will simply be when the x-value (in this case t-value) is 0. That means it is the point at which the graph intersects the y-axis, known as the y-intercept.

Standard form of a Parabola: $y = ax^2 + bx + c$

The y-intercept is the "c" value.

Given our equation: $h = -16t^2 + 384t + 50$

The c-value is 50. This proves that the y-intercept is 50.

<h3 /><h3>b)How high does the bullet travel vertically relative to the ground?</h3>

We want to find the highest point of the graph. To do that, we can find the vertex.

We can utilize the Axis of Symmetry (AOS) to find the Vertex.

First, find the AOS using the formula: $AOS = -\frac{b}{2a}$

a = -16
b = 384

Plug it into the formula:

$AOS = -\frac{b}{2a}$
$AOS = -\frac{384}{2(-16)}$
$AOS = \frac{384}{32}$
$AOS = 12$

Plug in 12 for t in the equation:

$h = -16t^2 + 384t + 50$
$h = -16(12)^2 + 384(12) + 50$
$h = -2304 + 4608 + 50$
$h = 2304+50$
$h = 2354$

Therefore, the highest point of the bullet is 2354 meters.

<h3>c)How long does it take the bullet to reach its greatest height?</h3>

We answered this in the last question. The t-value when h is at its highest is 12.

<h3>d)After how many seconds (round to nearest 100th) does the bullet hit the ground?</h3>

We have to solve for the values of t when h is 0 (when it touches the ground).

Set the equation to 0, and solve using the quadratic formula.

Quadratic formula: $x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}$
$x = \frac{-384\pm\sqrt{384^2 - 4(-16)(50)}}{2(-16)}$
$x = \frac{-384\pm\sqrt{147456 +3200}}{-32}$
$x = \frac{-384\pm\sqrt{150656}}{-32}$
$x = \frac{-384\pm388.14}{-32}$
$x = -\frac{4.14}{32}, x = \frac{772.14}{32}$

We are only going to take the positive solution, as we can't have a negative time. The solution that doesn't work is called an extraneous solution.

$x = \frac{772.14}{32}$
$x = 24.13$

It takes approximately 24.13 seconds for the bullet to hit the ground.

6 0

2 years ago

Lisa Company uses the periodic inventory system to account for inventories. Information related to Lisa Company's inventory at O

scZoUnD [109]

Answer:

The value of ending inventory will be items of latest purchase.

Step-by-step explanation:

Given that,

Lisa Company uses the periodic inventory system to account for inventories.

Information related to Lisa Company's inventory at October 31 is given,

Suppose, find the value of ending inventory using the FIFO cost assumption if 500 units remains on hand at october 31

We need to calculate the value of ending inventory

Using FIFO method

$value\ of\ ending\ inventory =305\ units\times\$10.6+195\ units\times\$11.60$

$value\ of\ ending\ inventory = 3233+2262$

$value\ of\ ending\ inventory =\$5495$

Hence, The value of ending inventory will be items of latest purchase.

6 0

3 years ago

What do cos and sin mean?

Mademuasel [1]

Answer and Step-by-step explanation:

These two terms (pronounced as Sine and Cosine) are used to solve for the sides and angles of a triangle in Trigonometry.

They are functions revealing the shape of a right triangle.

Sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle, to the length of the longest side of the triangle.

Cosine is also a trigonometric function of an angle. The cosine of an angle is the relation of the length of the side that is adjacent that angle, to the length of the longest side of the triangle.

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

8 0

3 years ago