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givi [52]
4 years ago
7

What is the length of AD, in centimeters?

Mathematics
2 answers:
LekaFEV [45]4 years ago
8 0

Answer:

AD=2

Step-by-step explanation:

\frac{6}{12} =\frac{AB}{20} \\AB=\frac{6}{12} \times 20=10\\AD+DF+FB=10\\AD+6+FB=10\\AD+FB=10-6=4\\AD+AD=4 ( \because ~FB=AD )\\2AD=4\\AD=4/2=2

photoshop1234 [79]4 years ago
3 0
AD=2 I just took test
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Find the mount of simple interest on a 1800$ loan at 6% for 3 years
Arada [10]

Answer:

Simple interest=$324 Total=2124

Step-by-step explanation:

Simple interest=6%

6% of 1800=108

108x3=324

1800+324=2124

3 0
4 years ago
Mary has a rectangular garden that she needs to buy soil for. The length of the garden can be represented by 5x-1, and the width
astra-53 [7]

Answer:

Area = Length x width

Step-by-step explanation:

Area= 2

5 0
3 years ago
What is the greatest common factor of 6x^3+9x-12
nlexa [21]
3

3(2x3+3x-4)

Mark brainliest please
4 0
3 years ago
I'll give brainliest to whoever answers first and is correct!!
Nina [5.8K]

Answer:

(a) y=8x+5

(b) 7 hours.

Step-by-step explanation:

(a) Let x be the number of hours and y is the total cost.

We have been given that Beatrice and her friends charge $8 per hour of babysitting, so the charges for x hours of babysitting will be 8x.

As they also charge a mandatory $5 per day fee for each child for snacks, so the total charges for babysit each day will be charges for x hours of babysitting plus mandatory charge.

We can represent this information in an equation as:

y=8x+5

Therefore, the equation y=8x+5 represents the total cost of using Beatrice’s babysitting service each day.

(b) To find the number of hours Beatrice babysit the daughter, we will substitute y = 61 in our equation and solve for x.

61=8x+5

Let us subtract 5 from both sides of our equation.

61-5=8x+5-5

56=8x

Let us divide both sides of our equation by 8.

\frac{56}{8}=\frac{8x}{8}

7=x

Therefore, Beatrice babysit 7 hours the daughter.

Expression for part c is missing.

6 0
3 years ago
The mean life of a certain brand of auto batteries is 44 months with a standard deviation of 3 months. Assume that the lives of
alisha [4.7K]

Answer:

99.7%

Step-by-step explanation:

Using the z score formula

z-score is z = (x-μ)/σ

where:

x = raw score

μ = population mean

σ = population standard deviation.

a) for x = raw score = 35

μ = population mean = 44

σ = population standard deviation =3

z = (35 - 44)/3

z = -9/3

z = -3

b) for x = raw score = 53

μ = population mean = 44

σ = population standard deviation =3

z = (53 - 44)/3

z = 9/3

z = 3

We would use the standard normal distribution table to find their probabilities

P(Z<=-3)=0.0013499

P(Z<=+3)=0.99865

So P(-3<=Z<=3)=0.99865 - 0.0013499 = 0.9973

Converting to percentage = 0.9973 × 100 = 99.73%

Therefore, the percentage of auto batteries of this brand that have a life of 35 to 53 months to one decimal place is 99.7%

6 0
3 years ago
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