if square root of 405 rounded to the nearest thousandth is 20.125 how do u simplify to get to that answer, thank u.

Answers

Answer 1

Answer: $√(405)=√(81\cdot5)=√(81)\cdot\sqrt5=9\sqrt5\approx9\cdot2.23606=20.12454\approx20.125$

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Solve the triangle, find m∠A and m∠C. Round angles to the nearest degree.m∠A= __∘

m∠C= __∘

Answers

In the given right triangle ABC, m∠A ≈ 26.44° and m∠C ≈ 63.56°.

To solve the right triangle ABC, we can use trigonometric ratios. In a right triangle, the three main trigonometric ratios are:

1. Sine (sin): $\sin(\theta) = \frac{{\text{opposite side}}}{{\text{hypotenuse}}}$

2. Cosine (cos): $\cos(\theta) = \frac{{\text{adjacent side}}}{{\text{hypotenuse}}}$

3. Tangent (tan): $\tan(\theta) = \frac{{\text{opposite side}}}{{\text{adjacent side}}}$

Given:

AC = 38

AB = 17

To find the angles m∠A and m∠C, we can use the sine and cosine ratios, respectively.

1. For m∠A:

$\sin(m\angle A) = \frac{{AB}}{{AC}} = \frac{{17}}{{38}}\)\n\n\(m\angle A= \sin^(-1)\left(\frac{{17}}{{38}}\right)$

2. For m∠C:

$\cos(m\angle C) = \frac{{AB}}{{AC}} = \frac{{17}}{{38}}\)\n\n\(m\angle C = \cos^(-1)\left(\frac{{17}}{{38}}\right)$

Let's calculate the angles:

$1. $m\angle A \approx \sin^(-1)\left(\frac{{17}}{{38}}\right) \approx 26.44^\circ$\n\n2. $m\angle C \approx \cos^(-1)\left(\frac{{17}}{{38}}\right) \approx 63.56^\circ$$

Therefore, m∠A ≈ 26.44° and m∠C ≈ 63.56° (rounded to the nearest degree).

To know more about right triangle, refer here:

brainly.com/question/31613708

#SPJ2

Answer:

$m\angle A=63^\circ\nm\angle C=26^\circ$

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of the triangle is called the hypotenuse and the other two sides are called the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The cosine ratio is defined as:

$\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}$

Note the angle A of the figure has 17 as the adjacent leg and 38 as the hypotenuse, so we can directly apply the formula:

$\displaystyle \cos A=(17)/(38)$

$\cos A=0.4474$

Using a scientific calculator, we get the inverse cosine:

$A=\arccos(0.4474)$

$A\approx 63^\circ$

Since A+B+C=180°, we can solve for C:

C = 180° - A - B

C = 180° - 63° - 90°

C = 26°

Thus:

$m\angle A=63^\circ\nm\angle C=26^\circ$

What is 0.195 rounded to the nearest hundredth

Answers

the answer will be 0.20

0.20 is 0.195 roundest to the nearest hundredth

What is the simplified expression for the expression below?-1(2x + 3) - 2(x - 1)

() 4x + 1

() 4x2

() 4x + 2

() 4% = 1

Answers

first answer: -4x-1

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

Answer:

-4×-1

Step-by-step explanation:

Rewrite without rational exponents, and simplify, if possible.. (x^4y^4) ^1/3

Answers

$\left(x^4y^4\right)^(1)/(3)=x^{4\cdot(1)/(3)}y^{4\cdot(1)/(3)}=x^(4)/(3)y^(4)/(3)=x^{1(1)/(3)}y^{1(1)/(3)}=x^{1+(1)/(3)}y^{1+(1)/(3)}=x^1x^(1)/(3)y^1y^(1)/(3)\n\n=x\sqrt[3]{x}\cdot y\sqrt[3]y=xy\sqrt[3]{xy}$

That would become (XY)^4/3 . The exponent is still rational. Sorry.

There are 3 boys and 2 girls in the krunch family. mr. krunch brought 3 1/2 pounds of candy to divide equally among them. how much candy did each child get?

Answers

Convert 3 1/2 half to a fraction. that's 7/2
To divide the five kids into 7/2, you make them into a fraction- 10/2
Now invert one of them and multiply

7/2 times 2/10= 14/20
Now simplify- 7/10

Evaluate each expression for s = 2 and t = 5

-4(s)²+t³÷5

Answers

sub
s=2
t=5

-4(2)^2+(5^3)/5
PEMDAS

exponents first sice parentahsees are already simplified
2^2=4
5^3=125
now we have
-4(4)+125/5
multiplication or division
-4 times 4=-16
125/5=25

nowe we have
-16+26
9

answer is 9

-4(s)^2 + t^2 ÷ 5
-4(2)^2 + 5^2÷ 5=
-4x4 + 25/5 =
-16 + 5 = -11

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