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3 years ago

What is the tangent ratio of angle K to the nearest thousandth (that's three decimal places)?

Mathematics

1 answer:

ziro4ka [17]3 years ago

6 0

A²+b²=c², a=opposite b=adjacent c=hypotenuse
a=3,c=√34
3²+b²=√34²
9+b²=34
-9 -9
√b²=√25
b=5

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PLEASE HELPPPP ! 16^x=64^x+4

Vladimir [108]

Answer:

x = -12

Step-by-step explanation:

Set logs up on both sides-

log 16^x = log 64^x+4

The variable goes behind because of the exponent log property (exponents are permitted to go behind the log to multiply)-

x * log 16 = x + 4 * log 64

Divide both logs out-

log 64/log 16 = 1.5

Simplify-

x = x+4(1.5)

1.5x + 6 = x

Remove 1.5-

1 - 1.5 = -.5x

Simplify-

-.5x = 6

Divide both sides-

6/-.5x = -12

Hence, the answer would be -12

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3 years ago

PLS help meeeeeeee!!!!!! will mark as BRAINLIEST

Zolol [24]

We are asked to find 7 is what percent to 30.

We will use proportions to solve our given problem.

Let us assume that 7 is n% of 30. So we can set a proportion as:

$\frac{n}{100}=\frac{7}{30}$

Let us solve for n.

$\frac{n}{100}\cdot 100=\frac{7}{30}\cdot 100$

$n=\frac{7}{3}\cdot 10$

$n=\frac{70}{3}$

$n=23.333$

Therefore, 7 is $23.333\%$ of 30.

3 0

3 years ago

3) What is 4.01 X 10° written in standard form A. 0.401 B. 4.001 C. 4.01 D. 40.1

Leya [2.2K]

The Answer is-
D
Explanation-
The Place Of the 0 In 10 Is 1, So we move 1 digit
To that side.

7 0

2 years ago

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Need some help with this question please

Serggg [28]

Answer:

$\frac{15}{17}$

Step-by-step explanation:

$\cos( \alpha ) = \frac{ad}{hip} \\ \\ \sin( \alpha ) = \frac{op}{hip}$

Pythagorean theorem

hip² = op² + ad²

17² = x² + 8²

x² = 17² - 8²

$x \: = \sqrt{{17}^{2} - {8}^{2} } \\ x = \sqrt{289 - 64} \\ x = \sqrt{225} \\ x = 15$

$\sin( \alpha ) = - \frac{15}{17}$

$\sin( - \alpha ) = \frac{15}{17}$

4 0

3 years ago

What is the area of triangle pqr on the grid? a triangle pqr is shown on a grid. the vertex p is on ordered pair 7 and 6, vertex

horsena [70]

P(7,6), Q(1,6), R(4,2)

We have PQ parallel to the x axis. We'll call that the base,

b = 7 - 1 = 6

The altitude is then the y difference h = 6 - 2 = 4

The area is $\frac 1 2 bh = \frac 1 2 (6)(4) = 12$

Answer: 12 square units

In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:

(7,6), (1,6), (4,2)

(1,6), (4,2), (7,6)

The area is then half the absolute value of the sum of the cross products:

$A = \frac 1 2 | 7(6)-6(1) + 1(2)-6(4) + 4(6)-2(7) | = \frac 1 2 |24| = 12$

6 0

3 years ago

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