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ale4655 [162]
3 years ago
6

△HKO∼△FGO Two right triangles. The first triangle is labeled triangle HKO. Angle H is the right angle. Side KO which is the hypo

tenuse has a length of 10 units. The other right triangle is labeled triangle FGO. In this triangle, angle F is the right angle and side GO is the hypotenuse with a length of 15 units. The triangles meet at angle O forming a vertical angle. Angles H and F are both right angles. Points H comma O comma and G are on the same line. Points F comma O comma and K are on the same line.
What is the ratio of the area of △HKO to the area of △FGO ? Express your answer as a fraction. Enter your answer in the box.
Mathematics
1 answer:
Leya [2.2K]3 years ago
5 0
<h2>the area is the 74 that is the answer </h2>
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Find (f ∘ g)(4) when f(x) = -5x - 7 and g(x) = -6x 2 + 9x + 9.
mr_godi [17]

Answer:

\boxed{\sf \ \ \ 248 \ \ \ }

Step-by-step explanation:

Hello,

(fog)(4)=f(g(4)) \ \ \ and \ \ \ g(4)=-6*4^2+9*4+9=-51 \ \ so\\(fog)(4)=f(-51)=-5*(-51)-7=255-7=248

hope this helps

7 0
3 years ago
a physician orders aminophylline 7.5 mg per kg of body weight. the patient weighs 110 lb. if aminophylline is available in 0.125
Harman [31]

Answer:

The patient will receive 2 whole tablets.

Step-by-step explanation:

The total weight of the drug to be administered can be expressed as;

Total dose of aminophylline to be administered=Dose per weight of patient×weight of patient

where;

Dose per weight of patient=7.5 mg per kg

weight of patient=110 lb

1 kilogram=2.205 lb

weight of patient in kilograms=110/2.205=49.89 kilograms

replacing;

Total dose of aminophylline to be administered=Dose per weight of patient×weight of patient

Total dose of aminophylline to be administered=(7.5×49.89)=374.175 mg

Total weight of tablets=374.175 mg

Total weight of tablets=weight per tablet×number of tablets

where;

Total weight of tablets=374.175 mg

Weight per tablet=0.125 g

1 gram=1000 mg

Weight per tablet in mg=(1,000×0.125)=125 mg

Number of tablets=n

replacing;

Total weight of tablets=weight per tablet×number of tablets

374.175=125×n

n=374.175/125

n=2.9934

The patient will receive 2 whole tablets.

7 0
3 years ago
Please answer the question in the pictures.
SpyIntel [72]

1. Alternate exterior angles

2. Vertical angles

3. Alternate interior angles

Hope that helped :)

4 0
3 years ago
You have $50 in your savings account.Each week you deposit $5 in your account. Write an expression that models the situation.
Lemur [1.5K]
50+30y

It is 30y because there are 7 days in a week and each week you deposit $5 so 5*7 is 30. 
3 0
3 years ago
Gordon is going to buy fruit
Mkey [24]

Answer:

4R+2S=24

Step-by-step explanation:

Let the raspberry be represented as R

Let the strawberry be represented as S

Since a carton of raspberry is$4=4R

Since a carton of strawberry is $2=2S

And the sum of the two is 24

4R+2S=24

Since a specific value is not given

So the final answer is

4R+2S=24

8 0
3 years ago
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