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malfutka [58]
3 years ago
7

Can someone help me with all of these

Mathematics
1 answer:
vazorg [7]3 years ago
6 0
7. = 29/9 0.6 terminating
8. = 301/20 0.75 terminating

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Two hundred people attended the history museum exhibit on Monday. Twenty-five of the people who attended the exhibit were survey
galben [10]

Answer:

96

Step-by-step explanation:

Total number of people attending the history museum is 200

Surveyed people are 25

Out of the 25, 12 people said yes

Therefore; the fraction which said yes = 12/25

To find the total number of people expected to say yes out of those that attended the history museum;

Fraction of the sampled that said yes × total number of people that attended.

= 12/25 × 200

=  96

6 0
2 years ago
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Can talk help me with these three word problems
love history [14]
Please tell me if you dont understand. ill break it down for you

3 0
2 years ago
A 500-foot cable is attached to the top of a tower and is stretched tight to a point that is 350 feet away from the base of the
Fantom [35]

The angle of depression the cable forms is the arctan of the ratio of the

horizontal distance to the height of the tower which is approximately 35°.

Response:

B. 35°

<h3>Which method can be used to find the angle of depression?</h3>

Given:

Height of the tower = 500-feet

Horizontal distance from the (other)  point of attachment of the cable to

the base of the tower = 350-feet.

Required:

The angle of depression formed by the cable.

Solution:

The angle of depression is the angle, θ, the cable forms with the tower

from the top of the tower.

By trigonometric ratios, therefore;

tan(\theta) = \mathbf{\dfrac{Horizontal \ distance \ of \ cable \ from \ tower}{Height\ of \ tower}}

Which gives;

tan(\theta) = \dfrac{350}{500} = \dfrac{7}{10}

  • Angle \ of \ depression, \ \theta = \mathbf{ arctan \left(\dfrac{7}{10} \right) }\approx35^{\circ}

The best correct option is; <u>B. 35°</u>

Learn more about trigonometric ratios here:

brainly.com/question/13276558

8 0
2 years ago
I WILL MARK BRAINIEST<br> PLEASE HELP ASAP ITS DUE
Daniel [21]

Answer:

A) 1 : 4

B) 1 : 2

C) Base of M = 10 units

Step-by-step explanation:

A)

The ratio of the area of triangle M to triangle N

\frac {40}{160}= \frac{1}{4} = 1 : 4

B)

The ratio of the side lengths of triangle M to triangle N

\sqrt{ \frac {40}{160}} = \sqrt{\frac{1}{4}} \\\\={\frac{1}{2}} \\\\=1 : 2

C) Let the base of triangle M be b units.

\sqrt{ \frac {40}{160}} = \frac{b}{20}\\\\\frac{1}{2}=  \frac{b}{20}\\\\2b = 20\\\\b = \frac{20}{2} \\\\b = 10

8 0
2 years ago
A barrel had 20 liters of water. Water leaked out from the barrel at a constant rate. After 24 hours, 14 liters of water was lef
krok68 [10]
The barrel had 20 liters....after 24 hrs, it had 14 liters......that means in 24 hrs, it leaked (20 - 14) = 6 liters....so it is leaking 6 liters every 24 hrs

liters / hr = 6/24 = 0.25.....so it is leaking 0.25 (or 1/4) liters per hr
4 0
3 years ago
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