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earnstyle [38]
3 years ago
13

Determine the length of the diagonals of the isosceles trapezoid below when KL= h+7 and UE= 4h-25

Mathematics
1 answer:
mina [271]3 years ago
6 0

Answer:

KL= 17.67 unit

UE = 17.67 unit

Step-by-step explanation:

Given:

Diagonals

KL= h+7

UE = 4h-25

Find:

Length of diagonals KL and UE

Computation:

We know that in isosceles trapezoid the length of diagonals are equal

So,

KL = UE

h+7 = 4h-25

3h = 32

h = 10.67

So,

KL= h+7

KL= 10.67+7

KL= 17.67 unit

UE = 4h-25

UE = 4(10.67)-25

UE = 17.67 unit

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A hotel claims that 8585​% of its customers are very satisfied with its service. complete parts a through d below based on a ran
jek_recluse [69]
We can solve this problem using the binomial distribution. A binomial distribution<span> can be thought of as a success or failure outcome in an experiment or survey that is repeated multiple times. 
</span>Probability function of binomial distribution has the following form:
P= \frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}
p represents the probability of each choice we want. k is the number of choices we want and n is the total number of choices.
In our case p=0.85, k=5 and n=6. 
We can now calculate the answer:
P= \frac{6!}{5!(6-5)!} 0.85^5(1-0.85)^{6-5}=0.39
The probability is 39%.
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7 0
3 years ago
What are the coordinates of the endpoints of the mid segment of triangle ABC that is parallel to line AB?
MrMuchimi

Answer:

(4.5,4)  and  (4.5,6.5)

Step-by-step explanation:

we have the coordinates

A(2,7),B(2,2),C(7,6)

we know that

The mid segment of triangle ABC that is parallel to line AB is located between the mid point AC and the mid point BC

The formula to calculate the midpoint between two points is equal to

(\frac{x1+x2}{2},\frac{y1+y2}{2})

step 1

Find the mid point AC

we have

A(2,7),C(7,6)

substitute in the formula

(\frac{2+7}{2},\frac{7+6}{2})

(4.5,6.5)

step 2

Find the mid point BC

we have

B(2,2),C(7,6)

substitute in the formula

(\frac{2+7}{2},\frac{2+6}{2})

(4.5,4)

therefore

The endpoints of the mid segment of triangle ABC that is parallel to line AB are (4.5,4)  and  (4.5,6.5)

8 0
3 years ago
Describe a real-life multiplication situation for which an estimate makes sense . Explain why it makes sense
monitta

Answer: Here we have a real life multiplication situation for which an estimate make sense:-


Miley has 212 fiction books. Sharon has 3 times fiction books has many as Miley has, how many fiction books Sharon has

Solution :- Number of fiction books Miley has = 212

Number of fiction books Sharon has= 3 times 212

We know that 212 is near to 200 , so round off 212 to 200 (to the nearest hundred)

Thus the product becomes 3\times200=600

Therefore, the estimated number of fiction books Sharon has=600





7 0
3 years ago
You calculated probabilities involving various blood types. Some of your answers depended on the assumption that the outcomes de
Natali5045456 [20]

Answer:

a) The events are disjoint, because a person cannot have blood type A and blood type B at the same time.

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A: "the person has blood type A

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Given the events A and B which are disjoint:

P(A∩B)=0

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3 years ago
Please help answer ASAP
Anarel [89]

8.95 times 1.20 = 10.74

10.74 + 4.31 = $15.05

3 0
3 years ago
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