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Nastasia [14]
3 years ago
8

What is the length of TU?

Mathematics
2 answers:
Vladimir79 [104]3 years ago
4 0

Answer: 48

Step-by-step explanation:

The triangles are similar not congruent so you can set up the equation that I showed.

When you dived you get 48

Hope this helps!

ratelena [41]3 years ago
3 0

Answer:

We can see that both the triangles are congruent to each other.

So, PQ = TU (CPCT), Thus TU = <u>6</u><u>0</u><u>.</u>

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If the discount is 36% and the sale price is $32 what was the original price
jok3333 [9.3K]

Answer:

89

Step-by-step explanation:

100/36= 2.77777778

2.77777778·32 = 88.8888889

89

8 0
3 years ago
Read 2 more answers
After Ken Dial had his "‘aha’ moment" (line 41), he
galina1969 [7]

The correct option is c. how the birds dealt with gradually steeper inclines.

After Ken Dial had his "‘aha’ moment" (line 41), he observed how the birds dealt with gradually steeper inclines.

<h3>Who was Ken Dial?</h3>

In 1988, Dr. Dial was appointed as a biology professor at the of Montana. Dial was the creator and deputy director of the University of Montana Flight Laboratory, as well as the director of the University of Montana Field Research Facility at Fort Missoula.

Some key features regarding Ken Dial are-

  • He taught graduate courses in East African evolutionary biology for three decades.
  • Ken, a pilot with over 35 years of experience, is certified to fly numerous types of jet aircraft but loves backcountry flying onto remote airfields as in Montana-Idaho wilderness.
  • Ken created and presented 26 episodes of "All Bird TV" on the Animal Planet channel of the Discovery Channel.
  • Dial is still a frequent keynote speaker at scientific & aeronautical conferences across the world.
  • He just left his full-time position as a professor at the University of Montana to devote more time to wildlife & land conservation initiatives in Tanzania, Kenya, southern California, and western Montana.

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7 0
2 years ago
A company that produces dog food claims that its bags contain 11 kg of food. From
andriy [413]

By testing the hypothesis we can conclude that the bag does not contain 11 kg of food.

Given mean of 10.6 kg, population standard deviation of 0.6 and sample size of 25.

We are required to find whether the company is right in saying that their bags contain 11 kg of food.

First we have to make hypothesis.

H_{0}:μ≠11

H_{1}:μ=11

We have to use t statistic because the sample size is less than 30.

t=(X-μ)/s/\sqrt{n}

We will use s/\sqrt{n}=0.6 because we have already given population standard deviation of weights.

t=(11-10.6)/0.6

=0.4/0.6

=0.667

Degree of freedom=n-1

=25-1

=24

T critical at 0.05 with degree of freedom 24=2.0639

T critical at 0.05 with degree of freedom is greater than calculated t so we will accept the null hypothesis.It concludes that the bags donot contain 11 kg of food.

Hence by testing the hypothesis we can conclude that the bag does not contain 11 kg of food.

Learn more about t test at brainly.com/question/6589776

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3 0
2 years ago
Help, please.
Dahasolnce [82]

Answer:

His laptop decreases

Step-by-step explanation:

It decreases at a rate of 12% and in 4 years will be worth 52% of the original price.

5 0
3 years ago
Read 2 more answers
For an Ohmic conductor, tripling the voltage without changing the resistance will cause the current to A. decrease by a factor o
katrin2010 [14]

Answer:

B. increase by a factor of 3.

Step-by-step explanation:

According to ohms law:

V ∝ R

Vo = IoR

R = Vo/Io ... (1)

Vo is the initial potential difference/voltage

Io is the initial current across the resistor

R is the resistance

If for an Ohmic conductor, we triple the voltage without changing the resistance:

New voltage V1 = 3Vo

New voltage V1 = I1R (resistance doesn't change)

I1 is the current after the voltage has tripled

3Vo = I1R

R = 3Vo/I1... (2)

Equating both resistances in 1 and 2 since resistance doesn't change we have:

Vo/Io = 3Vo/I1

1/Io = 3/I1

I1/Io = 3

New current I1 = 3Io

This shows that tripling the voltage increases the current by factor of 3

8 0
4 years ago
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