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3 years ago

Which equation is correct for triangle XYT answers: a.) cos T=4/17 b.) Sin T=4/17 c.) Cos T = 17/4 d.) Sin T = 17/4

Mathematics

1 answer:

kondor19780726 [428]3 years ago

6 0

$\cos T=\dfrac{adjacent}{hypotenuse}\\\\\text{We have:}\\adjacent=4\\hypotenuse=17\\\\\text{therefore}\ \cos T=\dfrac{4}{17}$

Answer: a.) cos T=4/17

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10 x 2 tens = tens =

Rama09 [41]

10 x 2 = 20 (twenty)

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The selling price of a refrigerator is $693.00. If the markup is 5% of the dealers cost, what is the dealers cost of the refrige

OleMash [197]

Answer:

727.65

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3 years ago

PLEASE HELP I DON'T UNDERSTAND! A florist is making regular bouquets and mini bouquets. The florist has 118 roses and 226 peonie

Anna [14]

Answer:

The florist can make 11 regular bouquets and 21 mini bouquets

Step-by-step explanation:

The number of roses the florist has = 118 roses

The number of peonies the florist has = 226 peonies

The number of roses in each regular bouquet = 5 roses

The number of peonies in each regular bouquet = 11 peonies

The number of roses in each mini bouquet = 3 roses

The number of peonies in each mini bouquet = 5 peonies

1. The equation that gives the total number of roses to be used in both kinds of bouquet is given as follows;

Let r represent the number of regular bouquet the florist can make and let m represent the number of mini bouquet the florist can make, we have;

5·r + 3·m = 118...(1)

2. Similarly, we have;

11·r + 5·m = 226...(2)

Making m the subject of the formula of both equations, and equating both values of m to find a common solution, we have;

m = (118 - 5·r)/3

m = (226 - 11·r)/5

(118 - 5·r)/3 = (226 - 11·r)/5

5 × (118 - 5·r) = 3 × (226 - 11·r)

590 - 25·r = 678 - 33·r

33·r - 25·r = 678 - 590 = 88

8·r = 88

r = 88/8 = 11

r = 11

The number of regular bouquet the florist can make = r = 11

m = (118 - 5·r)/3 = (118 - 5×11)/3 = 21

m = 21

The number of mini bouquet the florist can make = m = 21

The number of regular bouquet the florist can make = 11 bouquets

The number of mini bouquet the florist can make = 21 bouquets.

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2 years ago

When making a fruit salad, a chef chooses 7 fruits from 10 that are in season. how many different fruit salads can the chef crea

Furkat [3]

For this example, we must combine not permutate; this because a salad in which you first use apple then tomato is the same as the one in which you use first tomato then apple, so order does not matter.

Me must do "10 combine 7" which is written by the binomial coefficient $(_{7} ^{10})$ ; in general a binomial coefficient is written by:
$(_{k} ^{n})= \frac{n!}{k!(n-k)!}$

In which $n$ and $k$ are positive integers, such that $n\ \textgreater \ k$ .

So, for this problem:
$(_{7} ^{10})= \frac{10!}{7!(10-7)!}=\frac{10!}{7!3!}= \frac{10*9*8}{3*2}=10*3*4=120$

Hence, there are 120 different ways to make the fruit salad.

5 0

3 years ago

What is the area of the trapezoid that is not drawn to scale??

netineya [11]

I think the answer would be 38in^2

Because the equation is : (a+b) *h / 2
A and b are both the bases of the trapezium

So (11 + 8) these are the bases and the height is 4 so you would do
(11+8)*4 / 2
(19)*4 / 2
76 / 2
= 38

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3 years ago

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