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mixer [17]
3 years ago
14

Use the diagram above and round your answer to the nearest hundredth. If a is 6 in. and angle a = 31º, what is b?

Mathematics
2 answers:
LenaWriter [7]3 years ago
8 0

You answer is D. 9.99 in.

Mars2501 [29]3 years ago
6 0
B is the exact same as A
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I don’t quite understand this problem could someone help me please
ale4655 [162]

Answer:

\frac{7\sqrt{65}}{65}

Step-by-step explanation:

Cosine is the ratio of the side adjacent to the angle and the right triangle hypotenuse.

cos B = \frac{7}{\sqrt{65}} = \frac{7\sqrt{65}}{65}

3 0
2 years ago
Write an equation of the line that passes through the point (5,-4) and has a slope of 2.
Romashka-Z-Leto [24]

Answer:

Point slope formula: (y + 4) = 2(x - 5)

Slope intercept formula: y = 2x - 14

Step-by-step explanation:

Point slope formula: (y + 4) = 2(x - 5)

Slope intercept formula: y = 2x + b, -4 = 10 + b, b = -14

y = 2x - 14

6 0
4 years ago
There are over 2700 species of snakes in the world over 600 are venomous Express the fraction of species that are not venomous a
Andre45 [30]
You do 600 divided by 2700 and you end up with 22/100 or 0.22 as a decimal. So if 0.22 or 22/100 are venimous then 78/100 or 0.78 are non venimous. I understand its a bit confusing and i can simplify it for you but still I hope this helps :)
6 0
3 years ago
Find the distance between the two points rounding to the nearest tenth (if necessary).
leonid [27]

Answer:

\boxed {\boxed {\sf d\approx 4.2}}

Step-by-step explanation:

The formula for distance is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Where (x₁, y) and (x₂, y₂) are the points.

We are given (-6, 6) and (-3, 3). If we match the value and its corresponding variable, we see that:

  • x₁= -6
  • y₁ = 6
  • x₂ = -3
  • y₂ = 3

Substitute the values into the formula.

d= \sqrt{ (-3 - -6)^2+(3-6)^2

Solve inside the parentheses.

  • -3 --6 = -3+6 = 3
  • 3-6 = -3

d= \sqrt{(3)^2+ (-3)^2

Solve the exponents.

  • (3)²= 3*3= 9
  • (-3)²= -3*-3 =9

d= \sqrt{9+9

Add.

d= \sqrt18

d= 4.24264069

Round to the nearest tenth. The 4 in the hundredth place tells us to leave the 2 in the tenth place.

d \approx 4.2

The distance between the two points is apprximately <u>4.2</u>

4 0
3 years ago
13. (07.05 MC) What is the solution to the equation 5x + 2(x - 4) = 5x + x - 10? (1 point) O​
TEA [102]

Answer:

x = -2

Step-by-step explanation:

5x + 2(x - 4) = 5x + x - 10

First, we need to to multiply out the parathesis in the equation:

5x + 2(x - 4) = 5x + x - 10

5x + 2x - 8 = 5x + x - 10

Next, we can combine "like terms" to simplify the equation further:

5x + 2x - 8 = 5x + x - 10

7x - 8 = 6x - 10

Now we can isolate the variable "x" to one side:

7x - 8 = 6x - 10

x - 8 = -10

x = -2

To check our work, we can replace x with -2 in our original equation:

5x + 2(x - 4) = 5x + x - 10

5(-2) + 2 (-2 - 4) = 5(-2) + -2 - 10

-10 + 2 (-6) = -10 -2 - 10

-22 = -22

I hope this helps!

-TheBusinessMan

7 0
3 years ago
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