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Vanyuwa [196]
3 years ago
8

the base of a triangle is 5/8. The height is 1/3 feet. how much greater is base of the triangle than the height?

Mathematics
1 answer:
maks197457 [2]3 years ago
6 0
Namely, how many times does 1/3 go into 5/8?  well, is their quotient,

\bf \cfrac{\quad \frac{5}{8}\quad }{\frac{1}{3}}\implies \cfrac{5}{8}\cdot \cfrac{3}{1}\implies \cfrac{15}{8}\implies 1\frac{7}{8}
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PLS HELP QUICK, I HAVE A TEST, more points
bezimeni [28]

Answer:

Options (1), (3), (5) and (6)

Step-by-step explanation:

Option (1)

Both the circles M and H are same in shape. Therefore, both are similar.

True

Option (2)

MH = MS = [Radii of a circle]

MH = MO + OH

MH = ME + OH [Since, MO = ME]

MH = 10 + 25 = 35 cm

Area of circle M = πr²

                          = π(35)²

                          = 1225π

Area of circle H = π(25)²

                           = 625π

\frac{\text{Area of M}}{\text{Area of H}}=\frac{1225\pi }{625\pi }

Area of M = 1.96(Area of H)

False

Option 3

OH + MS = 25 + 35

               = 60 cm

True

Option 4

m∠HMS = 90°

Can't be figured out with the given informations

False

Option 5

Diameter of circle H = 2(radius)

                                 = 2(25)

                                 = 50 cm

True

Option 6

Circumference of circle S = 2πr

                                           = 2π(ES)

Circumference of circle M = 2π(MS)

Ratio of the circumference of circle S and M = \frac{2\pi (ES)}{2\pi (MS)}

                                                                          = \frac{ES}{MS}

True.

Options (1), (3), (5) and (6) are correct.                    

3 0
3 years ago
some friends went to a local movie theater and bought four large buckets of popcorn and six boxes of candy.The total for the sna
WARRIOR [948]

The total of 2 buckets of popcorn and 3 boxes of candy would be $23.25

To answer this question you need to form a set of simultaneous equations and solve them. We can do this by saying that a bucket of popcorn = P, and a box of candy = C. Then we can say:

4P + 6C = 46.50

P + C = 9.75

There are then two possible ways to solve; you can either say that C = 9.75 - P using the second equation and then substitute it into the first, or you can multiply the second equation by either 4 or 6 to cancel out P or C.

I’m going to multiply the second equation by 4:

4P + 4C = 39

Now we can subtract this for, the first equation:

4P + 6C = 46.50

4P + 4C = 39

2C = 7.50

C = 3.75

Now we can substitute this value of C into one of the equations to find P:

P + C = 9.75

P + 3.75 = 9.75

P = 6

And now to answer the question, you just multiply P by 2 and C by 3 and add them together, which gives you $23.25

I hope this helps! Let me know if you have any questions :)

6 0
2 years ago
Three components are randomly sampled, one at a time, from a large lot. As each component is selected, it is tested. If it passe
satela [25.4K]

Answer:

The probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.

Step-by-step explanation:

The probability of a component passing the test is, P (S) = 0.79.

The probability that a component fails the test is, P (F) = 1 - 0.79 = 0.21.

Three components are sampled.

Compute the probability of the test result as SFS as follows:

P (SFS) = P (S) × P (F) × P (S)

            =0.79\times0.21\times0.79\\=0.131061\\\approx0.1311

Compute the probability of the test result as SSF as follows:

P (SSF) = P (S) × P (S) × P (F)

            =0.79\times0.79\times0.21\\=0.131061\\\approx0.1311

Thus, the probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.

7 0
3 years ago
The measure of an angle is 78°. What is the measure of a complementary angle?
ki77a [65]
First you need to know the definition of a complementary angle. That means that two angles add up to 90 degrees, or a right angle.

To find an angle complementary to a 78 degree angle, you need to subtract 78 from 90. 

90 - 78 = 12
6 0
3 years ago
Read 2 more answers
Does this table represent an exponential function? x 1 2 3 4 y 4 16 64 256
4vir4ik [10]

Answer:

Yes, the given table represent an exponential function.

Step-by-step explanation:

Given table is :

x y

1 4

2 16

3 64

4 256

Now we need to identify if the given table represent an exponential function or not. To find that we need to check if we can write the numbers in y-column in form of exponential function y=ab^x.

We see that y-values are basically powers of 4 so we can write the related function as y=4^x.

Which is clearly in form of y=ab^x.

Hence yes, the given table represent an exponential function.

6 0
3 years ago
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