Suppose you are in a building at 28 feet above ground level and you take an
escalator down to ground level. On the escalator, your distance above ground level
changes by - 2 feet per second. Write a linear function to describe the distance d
that
you are from ground level over time t in seconds.

Answer: 305 ft

Step-by-step explanation:

Given

[tex]\angle A=30^{\circ}[/tex]

[tex]\angle B=50^{\circ}[/tex]

[tex]c=600\ ft[/tex]

From the angle sum property of the triangle, we can write

[tex]\Rightarrow \angle A+\angle B+\angle C=180^{\circ}\\\Rightarrow \angle C=180^{\circ}-30^{\circ}-50^{\circ}\\\Rightarrow \angle C=100^{\circ}[/tex]

Now using Sine law i.e.

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

[tex]\Rightarrow \dfrac{a}{\sin 30^{\circ}}=\dfrac{600}{\sin 100^{\circ}}\\\\\Rightarrow a=600\times \dfrac{\sin 30^{\circ}}{\sin 100^{\circ}}=600\times 0.5077\\\\\Rightarrow a=304.62\ ft\approx 305\ ft[/tex]

don't know it is complicated

Answers:

===================================================

Explanation:

For each inequality given, we need to isolate x. We'll solve for x in pretty much the same way we solve an equation. So if we wanted to solve 2x = 12, we would divide both sides by 2 to get x = 6.

Similarly, solving 2x > 12 would lead to x > 6. The inequality sign does not flip. It only flips if you divide both sides by a negative number.

The graph of x > 6 has an open hole at 6 and shading to the right. So that matches with graph D.

---------------------

Solving 7x < 42 leads to x < 6 when we divide both sides by 7. The graph has the open hole at the same endpoint of 6, but now the shading is to the left. This shows all values smaller than 6. Therefore 7x < 42 matches with graph A.

---------------------

We have 3x > 15 match with graph C because that inequality is the same as x > 5, after we divide both sides by 3. We have an open hole at 5 and shading to the right.

---------------------

Lastly, the inequality x+1 < 8 solves to x < 7. We'll have an open hole at 7 and shading to the left. This describes graph B.

Any time you see an open hole, it means "do not include this value as part of the solution set". For instance, with x < 7, we have x = 7 as the open hole. This is because 7 < 7 is a false statement. A number cannot be smaller than itself.

Answer:

1.one solution

2.no solution

3.ifinitly many

Step-by-step explanation:

Answer:

1, one solution

2, no solution

3, infinitely many solution

Answer:

distance

Step-by-step explanation:

Point B must be the same distance from the origin as point A​.

Rotation is a kind of geometric transformation where a figure or point is rotated by a certain degrees about a given point.

Given that,

Point B is the image of the point A when A is rotated 90° counterclockwise around the origin.

A point P(x, y) after the rotation of 90°counterclockwise around the origin is P'(-y, x).

So the x coordinate changes to the negative of y coordinate and y coordinate changes to x coordinate.

Distance between P(x, y) from origin (0, 0) is √(x² + y²)

Similarly the distance P'(-y, x) from origin (0, 0) is √((-y)² + x²) = √(x² + y²)

Hence they are at the same distance.

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Answer

62

Step-by-step explanation:

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the lines.

Hence, it is a straight line.

the standard equation of a straight line at (x1,y1) with slope m is =>

===> y-y1 = m (x-x1)

Option B.) is the correct answer.

====> y-4 = 2(x+1)

Answer:

y = -x + 10

Step-by-step explanation:

Find the slope:

0 - 6 / 10 - 4 = -6/6 = -1.

Put it in point-slope form:

y - 0 = -1(x - 10)

rearrange:

y = -x + 10

Answer:

The answers are C and E

Step-by-step explanation:

Took the test.

Answer: options 3( C) and 5( E) are right.

Step-by-step explanation: edge 2023

Answer:

c. no solution

Step-by-step explanation:

This system of equations has no solution because when graphed, the lines are parallel to each other. Meaning they will never intersect. Since they will never intersect, there are no solutions.

Answer:

2/5

Step-by-step explanation:

To find Area you have times do length times Width so you would be doing 3/5 times 2/3 which would give you 2/5.

Answer:

Step-by-step explanation:

b) Diameter of Mercury = 4.88 * 10³ = 4.88 * 1000 = 4880 km

Radius of Mercury = 4880÷ 2 = 2440 km

c) Mass of Jupiter = 1.898 * 10²⁷ = 18.98 * 10²⁶

Mass of Saturn = 5.68 * 10²⁶

Difference  = 18.98 * 10²⁶ - 5.68*10²⁶

                   = (18.98 - 5.68) * 10²⁶

                   = 13.30 * 10²⁶

                   = 1.330 * 10²⁷

Answer: 20 months

explanation: You subtract 8 from 28 since 8 is the amount he had before he joined. He also said he planned on reading 1 book per month after joining the club. You want to subtract the 8 since it isn't relevant to the book club books read.

Answer:

First angle = 24'

Second angle = 156'

Third angle = 180'

Step-by-step explanation:

Given:

Ratio of circles angle = 2:13:15

Find:

All three angle

Computation:

Sum of all angle from center = 360'

So,

First angle = 360[2/(2+13+15)]

First angle = 360[2/(30)]

First angle = 24'

Second angle = 360[13/(2+13+15)]

Second angle = 360[13/(30)]

Second angle = 156'

Third angle = 360[15/(2+13+15)]

Third angle = 360[15/(30)]

Third angle = 180'

Answer:

$1,407.10

Step-by-step explanation:

1000(1.05)^7 = 1.05^7 ≈ 1.40710 * 1000 = $1,407.10

Answer:

8 quarts for one week. NOW if we're talking about for like four weeks its 36 quarts

Step-by-step explanation:

If it's for more weeks just multiply by how much weeks it is Hope that helped

Answer:

I confused... there are no numbers

Answer:

no-one God is the highest

Step-by-step explanation:

Answer:

No Church In The Wild

Step-by-step explanation:

Answer:

1 --> 26

5 --> 130

11 --> 286

24 --> 624

40 --> 1040

Step-by-step explanation:

to find unit rate divide 78 by 3 and you get 26 gallons, which means you can drive 26 miles with one gallon.

To find the amount of gallon for a certian number of miles, simply divide the number of miles by 26. Ex. 130/26 = 5 gallons

Answer:

Step-by-step explanation:

The figure that shows a reflection of pre-image ABC over the y-axis is the third figure.

From the complete information, the triangle ABC is reflected over the y axis.

The vertices of the triangle are A(1, 1), B(3, 4) and C(3, 1). The vertices of the images are A(1, 1) = A'(-1, 1). B(3, 4) = B(-3, 4) ans C(3, 1) = C'(-3, 1).

In conclusion, the figure that shows a reflection of pre-image ABC over the y-axis is the third figure.

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Answer:

1:15am

Step-by-step explanation:

49x

Step-by-step explanation:

Answer:

$50 :)

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

79-3=76

76 divided by 2 =38

Answer:

11.875

Step-by-step explanation:

Step-by-step explanation:

o2+a2=h2

100} h^{2}=(10ft)^{2} +(17ft)^{2}

h2=100ft2+289ft2

h=389ft2−−−−−√

→19.7ft

this is an example on how to do it

The value of g in the given right triangle is 13.20 units.

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse.

Given that, a right triangle with leg lengths f and g, and hypotenuse h, if f = 7 cm and h = 11.2 cm,

We need to find the value of g the hypotenuse,

So, here using the Pythagoras theorem,

f²+h² = g²

Therefore,

11.2²+7² = g²

g² = 174.44

g = 13.20

Hence, the value of g in the given right triangle is 13.20 units.

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Answer:

i think you multiply them i could be mistaken

Answer:

D

Step-by-step explanation:

I believe it's d. it looks closest to the values provided.