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3 years ago

Find the quotient. 6.345÷0.09

Mathematics

2 answers:

Lorico [155]3 years ago

6 0

Answer:

70.5 OR 70 1/2

Step-by-step explanation:

6.345/0.09=141/2=70.5

Just use a calculator

lesya [120]3 years ago

5 0

Answer:

70.5

Step-by-step explanation:

To find this answer, move the decimal over by two to the right on both ends of the expression.

Then, proceed to divide like normal but don't forget to bring the decimal down for the quotient of the expression.

Hope this helps!

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The diagram below shows an Isosceles triangle. Label the base angles and the vertex

Dmitry [639]

The base angles of an isosceles triangle are equal

The base angles are 15 degrees, while the vertex angle is 150 degrees

The base angles are given as:

Base = (6a- 3) and (a + 12)

So, we have:

$\mathbf{6a -3 =a + 12}$

Collect like terms

$\mathbf{6a -a =3 + 12}$

$\mathbf{5a = 15}$

Divide both sides by 5

$\mathbf{a = 3}$

Substitute 3 for a in Base = (6a- 3),

$\mathbf{Base = 6 \times 3 - 3}$

$\mathbf{Base = 18 - 3}\\$

$\mathbf{Base = 15}$

So, the base angle is 15 degrees.

The vertex angle is calculated using:

$\mathbf{Vertex=180 -2 \times Base}$

So, we have:

$\mathbf{Vertex=180 -2 \times 15}$

$\mathbf{Vertex=150 }$

Hence, the vertex angle is 150 degrees

Read more about isosceles triangles at:

brainly.com/question/25739654

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2 years ago

Write an<br> equation of the circle with center (-4,5) and radius 8.

Verizon [17]

Answer:

(x+4)2+(y-5)2=8

6 0

3 years ago

Here is a situation: I have $5. I save $2 each week. How many weeks do I need to save until I have at least $50? Write the inequ

Irina18 [472]

22 weeks because you already have 5 dollars so the other answer is wrong

7 0

3 years ago

allen is mixing red and yellow paint to make two different shades of orange. to make 1 cup of dark orange paint he needs 7 ounce

slavikrds [6]

Answer:

42 ounces of yellow paint.

Step-by-step explanation:

To make three cups of dark orange, you just need to remember that to make one cup you need: 7 ounces of red paint and 1 ounce of yellow paint. Then, to make three cups, we just have to multiply these proportions by three,which means 7x3 ounces of red paint =21 ounces of red paint, plus 3x1 ounces of yellow paint =3 ounces of yellow paint. Then we need 21 ounces of red paint and 3 of yellow paint to make three cups of dark orange.

To make one cup of light orange, we need 13 ounces of yellow paint, and 3 ounces of red paint. Then, to make three cups, we just multiply this proportion by 3, as follows: 13x3 ounces of yellow paint = 39; and 3x3 ounces of red paint =9. Then we need 9 ounces of red paint and 39 of yellow paint to make three cups of light orange.
Adding up the amount of ounces we need to make dark orange and light orange, we get a total amount of 21+9=30 ounces of red paint and 3+39=42 ounces of yellow paint to make three cups of light orange and three cups of dark orange.

7 0

3 years ago

Given the parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π. convert to a rectangular equation and sketch the curve

Temka [501]

The rectangular equation for given parametric equations x = 2sin(t) and y = -3cos(t) on 0 ≤ t ≤ π is $\frac{x^{2} }{4} +\frac{y^2}{9} =1$ which is an ellipse.

For given question,

We have been given a pair of parametric equations x = 2sin(t) and y = -3cos(t) on 0 ≤ t ≤ π.

We need to convert given parametric equations to a rectangular equation and sketch the curve.

Given parametric equations can be written as,

x/2 = sin(t) and y/(-3) = cos(t) on 0 ≤ t ≤ π.

We know that the trigonometric identity,

sin²t + cos²t = 1

⇒ (x/2)² + (- y/3)² = 1

⇒ $\frac{x^{2} }{4} +\frac{y^2}{9} =1$

This represents an ellipse with center (0, 0), major axis 18 units and minor axis 8 units.

The rectangular equation is $\frac{x^{2} }{4} +\frac{y^2}{9} =1$

The graph of the rectangular equation $\frac{x^{2} }{4} +\frac{y^2}{9} =1$ is as shown below.

Therefore, the rectangular equation for given parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π is $\frac{x^{2} }{4} +\frac{y^2}{9} =1$ which is an ellipse.

Learn more about the parametric equations here:

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#SPJ4

7 0

2 years ago