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3 years ago

Solve for t. −3t≥39

2 answers:

4 0

-3t ≥39

-3t/-3 ≥39/-3

t≤-13

is your answer hope this helps

Note: only flip the sign when you are dividing a negative number

Ipatiy [6.2K]3 years ago

3 0

Its t< with the underscore under the less than -13 so its t< -13

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Select an equivalent expression to:

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The answer is a.21ya

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3 years ago

A wire is first bent into the shape of a square. Each side of the square is 9cm long. Then the wire is unbent and reshaped into

EastWind [94]

Answer:

5 cm

Step-by-step explanation:

the perimeter of a square with sides of 9 cm is 36 cm so the rectangle must have the same perimeter

if the length of the rectangle is 13cm, its opposite side is also 13cm

add 13 + 13 to get 26

let 'n' = width of rectangle

perimeter = 26 + n + n

36 = 26 + 2n

2n = 10

n = 5

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3 years ago

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If angle 2 measures 155 degrees in the image below, what is the measurement of angle 1?

kumpel [21]

Answer:

diagram of truss with some angles missing

What are the measures of the angles located at positions a, b, & c? Note: the figure is symmetrical on the vertical through angle b.

The large triangle is an isosceles triangle. The two angles on the base are equal. Angle a = 35°

We now know two angles in the largest triangle. The third angle, angle b must add to these to make 180°.

35° + 35° + b = 180°

b = 180° - 70°

b = 110°

We now know two angles in a quadrilateral. The two unknown angles, including angle c are equal. All four angles add up to 360°.

2c + 110° + 120° = 360°

2c = 360° - 230°

2c = 130°

c = 65°

Step-by-step explanation:

6 0

3 years ago

The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equatio

AnnZ [28]

The motion of the hour hand of a clock is a periodic motion that repeats every 12 hours.

The equation that can be used to models the height as a function of time, based on the given options, is presented as follows; $\displaystyle \underline{ H = 0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}$

Reasons:

The given parameters are;

The variation of the height of the tip of the hour hand = 9 feet to 10 feet

At t = 0, the time = 12.00 a.m.

Required: The equation that can be used to model the height as a function of time.

Solution:

The general form of the cosine function is presented as follows;

y = a·cos(b·x - c) + d

The amplitude = a

$\displaystyle a = \mathbf{ \frac{Maximum \ value -Minimum \ value}{2}}$

Therefore;

$\displaystyle a = \frac{10 -9}{2} = 0.5$

b = The cycle speed

The period, T, is given as follows;

$\displaystyle T = \mathbf{ \frac{2 \cdot \pi}{b}}$

The period of a block, T = 12 hours

Therefore;

$\displaystyle b = \frac{2 \cdot \pi}{T}$

$\displaystyle b = \frac{2 \cdot \pi}{12} = \mathbf{ \frac{ \pi}{6}}$

$\displaystyle d = \mathbf{ \frac{Maximum \ value +Minimum \ value}{2} = \frac{10 + 9 }{2}} = 9.5$

At t = 0, H = The highest point = 10 ft.

Which gives;

$\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \times 0 -c\right) + 9.5} = 10$

$\displaystyle cos \left( -c\right) = \frac{0.5}{0.5} = 1$

-c = arcos(1) = 0

-c = 0

c = 0

The equation is therefore;

$\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}$

The above equation is the same as; <u>H = 0.5cosine (StartFraction pi Over 6 EndFraction t) + 9.5</u>

Learn more about the cosine function here:

brainly.com/question/4458343

brainly.com/question/24368105

4 0

3 years ago

Read 2 more answers

The 10th grade class at Central high school was surveyed about whether they liked running or swimming. Of those surveyed, 58% sa

melisa1 [442]

Answer:

24% of those surveyed liked neither

Step-by-step explanation:

Set concepts:

We use set concepts to solve this question.

I am going to say that:

P(A) is the percentage of people that liked to swim.

P(B) is the the percentage of people that liked to run.

The percentage of people that liked at least one of these activities is:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

In which $P(A \cap B)$ is the probability that a person liked both these activities.

The percentage of people that liked neither is:

$P = 1 - P(A \cup B)$

Of those surveyed, 58% said they liked to swim and 36% said they liked to run.

This means that $P(A) = 0.58, P(B) = 0.36$

18% said they liked both swimming and running

This means that $P(A \cap B) = 0.18$

What percent of those surveyed liked neither?

At least one:

$P(A \cup B) = 0.58 + 0.36 - 0.18 = 0.76$

Neither:

$P = 1 - P(A \cup B) = 1 - 0.76 = 0.24$

24% of those surveyed liked neither

4 0

4 years ago