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vlada-n [284]
3 years ago
5

What is the value of a? 9

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
6 0

ΔBED and Δ DEC are similar (AAA). Therefore we have the proportion:

\dfrac{a}{18}=\dfrac{4}{a}      <em>cross multiply</em>

a^2=(18)(4)\\\\a^2=72\to a=\sqrt{72}\\\\a=\sqrt{36\cdot2}\\\\a=\sqrt{36}\cdot\sqrt2\\\\\boxed{a=6\sqrt2}

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PLZ HELP!!! I HAVE AN EXAM!! Find cscΘ if sinΘ=<img src="https://tex.z-dn.net/?f=%5Cfrac%7B-2%7D%7B7%7D" id="TexFormula1" title=
Allisa [31]

\boxed{\bold{\red{csc\theta=-\frac{7}{2}}}}

\large{\red{Solution\: given:}}

Sin\theta=\frac{-2}{7}

we have

cosec \theta=\frac{1}{Sin\theta} =\frac{1}{\frac{-2}{7}}\\=-\frac{7}{2}

8 0
3 years ago
Select the correct answer.
forsale [732]

Answer:

g=3

Step-by-step explanation:

f(g)=g²+3g

Personally, I would do a guess and check to figure this out.

Let's try a number like 3. Insert it -

f(3)=3²+3(3) =9+9=18

Therefore, the answer is 3.

3 0
3 years ago
PEOPLE WHO ARE GOOD AT MATH CAN YOU PLEASE HELP ME!!!
OlgaM077 [116]

The cost of using 19 HCF of water is $32.49

Given in the question:

The monthly cost (in dollars) of the water use (in dollars) is a linear function of the amount of water used (in hundreds of cubic feet, HCF)

The cost for using 17 HCF of water is using $32.13

and, the cost of using 35 HCF is $61.83.

To find the cost of using 19 HCF of water.

Now, According to the question:

The cost for using 17 HCF of water is  $32.13

and, the cost of using 35 HCF is $61.83.

To find the slope:

(17, 32.13) and (35, 61.83)

Slope = (61.83 - 32.13)/ (35 - 17) = 1.65

We know that:

Formula of slope :

y = mx + b

32.13 = 1.65 x 17 + b

b = 1.14

The equation will be :

C(x) = 1.65x + 1.14

Now, To find the cost of using 19 HCF of water.

C(19) = 1.65 × 19  + 1.14

C(19) = $32.49

Hence,  the cost of using 19 HCF of water is $32.49.

Learn more about Slopes at:

brainly.com/question/3605446

#SPJ1

6 0
1 year ago
If n and m are integers and n2+m2 is even, which of the following is impossible?
boyakko [2]


None of 

 these imposible hope this helps :)

6 0
3 years ago
The arithmetic mean (average) of four numbers is 85. If the largest of these numbers is 97, find the mean of the remaining three
Margaret [11]

Answer:

81

Step-by-step explanation:

Let's do this systematically:

Four numbers: a, b, c, d

Whose mean is 85: \frac{a + b + c + d}{4} = 85

Whose largest number is 97: \frac{a + b + c + 97}{4} = 85

Lets solve for the other numbers:

a+b+c+97 = 85*4 = 340

340 - 97 = 243

a+b+c = 243

at this point it doesn't matter what the numbers are, they just need to add up to 243.

We can do 243÷3=81, which is our answer

3 0
3 years ago
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