All categories

3 years ago

Draw quick picture and write to tell how you would add 342and 416

Mathematics

1 answer:

White raven [17]3 years ago

3 0

You can add them by putting 416 over top of 342 and just add. your answer would be 758.

You might be interested in

Find the area of the circle. Round to the nearest whole number

GuDViN [60]

Hello!

$\mathcal{GIVEN:}$

Diameter of the circle = 12 cm

$\mathcal{TO\:FIND:}$

Area of the Circle

$\mathcal{SOLUTION:}$

A=πr²

Hey! We have the diameter, not the radius.

Don't panic. In order to find the radius, we should divide the diameter by 2.

So, the radius is 6.

Plug it into the formula:

A=π(6)²

A=π(36)

A≈113 cm

Hope it helps!

Good luck and enjoy your day!

-SnowFlake

8 0

2 years ago

Is the triangle obtuse, acute, equilateral or right?

Stells [14]

9514 1404 393

Answer:

obtuse

Step-by-step explanation:

The law of cosines tells you ...

b² = a² +c² -2ac·cos(B)

Substituting for a²+c² using the given equation, we have ...

b² = b²·cos(B)² -2ac·cos(B)

We can subtract b² to get a quadratic in standard form for cos(B).

b²·cos(B)² -2ac·cos(B) -b² = 0

Solving this using the quadratic formula gives ...

$\cos(B)=\dfrac{-(-2ac)\pm\sqrt{(-2ac)^2-4(b^2)(-b^2)}}{2b^2}\\\\\cos(B)=\dfrac{ac}{b^2}\pm\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}$

The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...

$\cos(B)=\dfrac{ac}{b^2}-\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}$

The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.

4 0

2 years ago

Read 2 more answers

Producing a musical costs $88,000 plus $5900 per performance. one sold out performance earns $7500 in revenue. If every performa

yan [13]

X = # of perfomances

y = total amount of money

Income: y = 7500x

Expense: y = 5900x + 88000

Substitution:

7500x = 5900x + 88000

1600x = 88000

x = 55

y = 7500(55) = $412,500

55 performances are needed to break-even.

5 0

2 years ago

classify each scale factor as a contraction or an expansion Dragon drop the choices into the box to complete the table

TEA [102]

Anything that is multiplied by a number over 1 will get bigger. any other number such as negatives or fractions/decimals will get smaller. 1.25 and 3 are expansions and -2,3/4, and 1/5 are contractions

8 0

3 years ago

Read 2 more answers

What is the slope of the line that passes through (8,5), (-7,20)?

Kaylis [27]

-1, because the equation for the slope is y2-y1/x2-x1. So let's bring the y value in the second set of point, which is 20, and bring the first y value in the first set of points, which is 5. 20-5 is 15. Now let's subtract the x values. So the second x from the second parentheses x value is -7, and the first x value from the first parentheses is 8. -7-8 is -15. Now we have this division equation, 15/-15, which is -1. So therefore, the slope of the line will be -1.

7 0

2 years ago