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dalvyx [7]
3 years ago
15

What is the length of DF? Round to the nearest hundredth.

Mathematics
1 answer:
OlgaM077 [116]3 years ago
3 0

Answer:

7.06

Step-by-step explanation:

This triangle can be solved a couple of ways. In the end, they amount to the same thing.

1) The area is ...

A = 1/2bh = 1/2(8)(15) = 60 . . . using DG as the base

Using GE as the base, the height (DF) is ...

A = (1/2)(17)(DF)

2(60)/17 = DF = 120/17

DF ≈ 7.06

__

2) Using similar triangles, we can find the ratio of the long side to the hypotenuse as ...

(long side)/(hypotenuse) = DE/GE = DF/DG

DF = DG(DE/GE) = 8(15/17) = 120/17

DF ≈ 7.06

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. The sandwich shop offers 8 different sandwiches. Jamey likes them all equally. He picks one randomly each day for lunch. Durin
Margarita [4]

Answer:

Step-by-step explanation:

From the given information:

A sandwich shop offers eight types of sandwiches, and Jamey likes all of them equally.

The probability that Jamey picks any one of them is 1/8

Suppose

X represents the number of times he chooses salami

Y represents the number of times he chooses falafel

Z represents the number of times he chooses veggie

Then  X+Y+Z ≤ 5 and;

5-X-Y-Z represents the no. of time he chooses the remaining

8 - 3 = 5 sandwiches

However, the objective is to determine the P[X=x,Y=y,Z=z] such that 0≤x,y,z≤5

So, since he chooses x no. of salami sandwiches with probability (1/8)x

and y number of falafel with probability (1/8)y

and for z (1/8)z

Therefore, the remaining sandwiches are chosen with probability \dfrac{5}{8} (5-x-y-z)

So. these x days, y days and z days can be arranged within five days in

= \dfrac{5!}{x!y!z!(5-x-y-z)!}

Thus;

P[X=x,Y=y,Z=z]=  \dfrac{5!}{x!y!z!(5-x-y-z)}  \times \dfrac{1}{8}x*\dfrac{1}{8}y* \dfrac{1}{8}z* \dfrac{5}{8}(5-x-y-z)

since 0 ≤ x, y, z ≤ 5 and x + y + z ≤ 5.

The distribution is said to be Multinomial distribution.

5 0
3 years ago
Computer World has all computers on sale
kondor19780726 [428]
The sale price would be $150
3 0
3 years ago
Read 2 more answers
The main span of bridge A is 2500 is percent shorter than the main span of bridge B 4100
Gwar [14]

Answer:

16%

percentage is calculated by 100

A. 2500 × 1/100 = 25%

B. 4100 x 1/100 = 41%

41% - 25%

16%

therefore bridge A is 16% shorter than bridge B

5 0
3 years ago
How do you do question number 5? If you do it can you please explain how to do it? Thank you!!
erik [133]
F(-3) = 4(-3) - 3 = -12 - 3 = -15.
H(2) = -5(2) + 7 = -10 + 7 = -3.

F(-3) + H(2) = -15 + -3 = -18.

The solution is -18.






4 0
3 years ago
Read 2 more answers
An X-ray machine for animals costs $125,000. If the loan is for 10 years, and the interest paid is $65,625, what is the interest
miskamm [114]

Answer:

52.5%

Step-by-step explanation:

the cost is $125,000

if loaned for 10 years the interest paid on the official amount is$65,625

to find interest rate you:

this is the formula

interest/cost price multiplied by 100%

P.S it's 100% because the unit for interest rate is %

Therefore:

$65,625/$125,000 x 100%

the zero's on 100 cancel the ones on the $125,000.

it becomes $1250

now it's $65,652/$1250

which equals to

52.5%

hope it helps

mark me brainly

4 0
3 years ago
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