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2 years ago

What is 5.76 rounded to the nearest tenth?

Mathematics

2 answers:

Llana [10]2 years ago

7 0

Answer:

5.76 rounded to the nearest tenth is 5.8 or 5.80.

olga55 [171]2 years ago

5 0

The answer is 5.8 or 5.80

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Zabato is thinking of a number. Three times the sum of the number and ten is the same as eight time the number. What is zabato's

9966 [12]

Answer:

Zabato is thinking of 6

Step-by-step explanation:

I first set it up as an equation based on the word problem you have given me

(n + 10)3 = 8n

Distribute the 3

3n + 30 = 8n

Isolate n

3n - 8n +30 - 30 = 8n - 8n - 30

-5n = -30

-5n/-5 = -30/-5

n = 6

To check replace 6 with n

(6 + 10)3 = 8 (6)

(16)3 = 48

48 = 48

5 0

3 years ago

Analyze the diagram below and complete the instructions that follow.

Trava [24]

Law of Cosines says

$b^2 = a^2 + c^2 - 2 ac \cos B$

$2 a c \cos B = a^2 + c^2 - b^2$

$\cos B = \dfrac{a^2 + c^2 - b^2}{2 a c}$

$\cos B = \dfrac{16^2 + 16^2 - 11^2}{2(16)(16)} = \dfrac{ 391}{512}$

$B = \arccos \dfrac{ 391}{512} \approx 40.2 ^\circ$

Choice C

5 0

3 years ago

For what values of x does 25 Superscript x Baseline = 5 Superscript x squared minus 3?

umka2103 [35]

For this case we have the following equation:

$25^{x} = 5^{ x^2-3}$

Rewriting we have:

$5^{2 (x)} = 5^{ x^ 2-3}\\5^{ 2x} = 5^{ x^ 2-3}$

For expressions to be equal, exponents must be equal. So:

$2x = x ^ 2-3\\x ^ 2-2x-3 = 0$

To factor, we look for two numbers that, when multiplied, result in -3 and when added, result in -2. These numbers are -3 and 1.

$(x-3) (x + 1) = 0$

Thus, the roots are:

$x_ {1} = 3\\x_ {2} = - 1$

Answer:

$x_ {1} = 3\\x_ {2} = - 1$

8 0

3 years ago

if I continue to meet my performance goals, I will receive a $300 bonus each month. my annual salary is 40, 000, so if I meet my

egoroff_w [7]

The correct answer is 40,300. Hope this helps. Please mark as brainliest.

4 0

3 years ago

Read 2 more answers

Trigonometry:

Trava [24]

A. The approximate height of the building is 100 m

B. We can use the arc length formula to obtain an approximation of BC since angle A is small.

The approximate height of the building is 100 m

To find the approximate height of the building, we consider the diagram.

From the diagram, we have that using trigonometry,

tanA = BC/AB

Now

A = 0.05 radians,
BC = height of building and
AB = 2 km = 2000 m

<h3 /><h3>Finding the value of BC</h3>

So, making BC subject of the formua, we have

BC = ABtanA

Substituting the values of the variables into the equation, we have

BC = ABtanA

BC =2000tan0.05

BC = 2000 × 0.05

BC = 100 m

So, the approximate height of the building is 100 m

We can use the arc length formula to obtain an approximation of BC since angle A is small.

<h3 /><h3>Arc Length Formula</h3>

We know that the arc length formula L = rФ where

r = radius and
Ф = angle in radians

<h3 /><h3>The approximate height</h3>

Now BC = ABtanA

We know that Ф ≅ tanФ when Ф is small.

<h3 /><h3>The comparison</h3>

So, BC = AB × A which is the arc length formula with

L = BC,
r = AB and
Ф = A

So, we can use the arc length formula to obtain an approximation of BC since angle A is small.

Learn more about approximate height of building here:

brainly.com/question/3144976

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2 years ago