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3 years ago

Solve for [?]. Assume that lines which appear tangent are tangent.

Mathematics

1 answer:

Alex73 [517]3 years ago

8 0

Answer:

Step-by-step explanation:

Since the problem stated that the 2 lines are tangent, you can then tell that the triangle is a right triangle.

By using the Pythagorean Theorem, the missing side, "x", is equal to $\sqrt{8.4^2+11.2^2}$ , which equals 14

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If f(x) = integral of 1/ (sqrt of t^3 +2)dt, then f'1 = ?

mihalych1998 [28]

Differentiating an integral removes the integral.

f(x) = integral of dt/sqrt(t^3 + 2)
f'(x) = 1/sqrt(x^3 + 2)
f'(1) = 1/sqrt(1^3 + 2)
f'(1) = 1/sqrt(3) = sqrt(3)/3.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

4 0

4 years ago

Evaluate: 6-(2/3)^2 A. 17/3 B. 52/3 C. 49/9 D. 50/9

Komok [63]

Answer:

The correct answer is: "Option [D]".

Step-by-step explanation:

Hi student, let me help you out!

....................................................................................................................................

Let's use the acronym PEMDAS. With the help of this little acronym, we will not make mistakes in the Order of Operations! :)

$\dag\textsf{Acronym \: PEMDAS}$

P=Parentheses,

E=Exponents,

M=Multiplication,

D=Division,

A=Addition,

S=Subtraction.

Now let's start evaluating our expression, which is $\mathsf{6-(\cfrac{2}{3})^2}$

According to PEMDAS, the operation that we should perform is "E-Exponents".

Notice that we have a fraction raised to a power. When this happens, we raise both the numerator (2 in this case) and the denominator (3 in this case) to that power, which is 2. After this we obtain $\mathsf{6-\cfrac{4}{9}}$ .

See, we raised both the numerator and the denominator to the power of 2.

Now what we should do is subtract fractions.

Note that 6 and -4/9 have unlike denominators. First, let's write 6 as a fraction: $\mathrm{\cfrac{6}{1}-\cfrac{4}{9}}$ . Now let's multiply the denominator and the numerator of the first fraction times 9: $\mathrm{\cfrac{54}{9}-\cfrac{4}{9}}$ .

See, now the fractions have the same denominator. All we should do now is subtract the numerators: $\mathrm{\cfrac{50}{9}}$ .

∴, the answer is Option D.

Hope this helped you out, ask in comments if any queries arise.

Best Wishes!

$\star\bigstar\underline{\overline{\overline{\underline{\textsf{Reach \: far. Aim \: high. Dream \: big.}}}}}\bigstar\star$

$\underline{\rule{300}{5}}$

5 0

2 years ago

Read 2 more answers

When you add their numbers together you get 207 . Jen's number is 9 more than Carrie's, and Fran's number is 3 less than Jen's n

murzikaleks [220]

Answer: Fran's number is 70

Step-by-step explanation:

Let x represent Jen's number.

Let y represent Carrie's number.

Let z represent Fran's number.

When you add their numbers together you get 207. This means that

x + y + z = 207 - - - - - - - - - -1

Jen's number is 9 more than Carrie's number. It means that

y = x - 9

Fran's number is 3 less than Jen's number. It means that

z = x - 3

Substituting y = x - 9 and z = x - 3 into equation 1, it becomes.

x + x - 9 + x - 3 = 207

3x - 12 = 207

3x = 207 + 12 = 219

x = 219/3 = 73

y = x - 9 = 73 - 9

y = 64

z = x - 3 = 73 - 3

z = 70

8 0

3 years ago

Molly drew a blue line that was 19 1/12 inches long. Then she drew a green line that was

antoniya [11.8K]

Answer:

10 2/3 in

Step-by-step explanation:

Subtract the values:

19 1/12 - 8 5/12 =
18 13/12 - 8 5/12 =
18 - 8 + 13/12 - 5/12 =
10 + 8/12 =
10 8/12 =
10 2/3 in

6 0

3 years ago

Sarah bought 48 pencils and 80 erasers to make gift bags for her friends. each bag will have pencils anf erasers. each bag will

STatiana [176]

Answer:

C. 3 Pencils Per Bag

Step-by-step explanation:

The Greatest Common Factor is 16, meaning Sarah has 16 friends.

She needs to distribute the pencils and erasers evenly.

16 friends x 3 pencils per bag = 48 pencils in total.

16 friends x 5 erasers per bag = 80 erasers in total.

6 0

3 years ago