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LUCKY_DIMON [66]

3 years ago

11

Dan had sixteen dimes and thirty-seven pennies in his bank. His dad borrowed nineteen pennies from Dan. How many pennies does he

have now ?

1 answer:

Natasha2012 [34]3 years ago

6 0

Answer:

if he had 37 pennies and his dad borrowed 19 it means that he has 18 pennies left.

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*****50 POINTSSSS*****

defon

Answer:

<h3>Given</h3>

m∠REG = 78°
mAR = 46°
ER ≅ GA

<h3>Solution</h3>

m∠GAR = 180° - m∠REG = 180° - 78° = 102° (supplementary angles sum to 180°)
m∠TAR = 1/2mAR = 1/2(46°) = 23° (tangent chord angle is half the size of intercepted arc)
m∠GAN = 180° - (m∠TAR + m∠GAR) = 180° - (23° + 102°) = 55° (straight angle is 180°)
mAG = 2m∠GAN = 2(55°) = 110°
mRE = mAG = 110° (as ER ≅ GA)
mGE = 360° - (mAG + mAR + mRE) = 360° - (110° + 46° + 110°) = 94° (full circle is 360°)

6 0

3 years ago

Determine the translation

arsen [322]

Answer:

<em>1 unit left and 7 units up</em>

Step-by-step explanation:

|3 - 2| = |1| = 1

The x-coordinate when from 3 to 2, so it is 1 unit left.

|-4 - 3| = |7| = 7

The y-coordinate when from -4 to 3, so it is 7 units up.

7 0

3 years ago

What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3

Rufina [12.5K]

Answer:

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$

So, the average rate of change of:

$f(x)=-x^2+3x+6$

Over the interval $-3$

Is:

$f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12$

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Therefore, the average rate of change of this function over that interval is 3.

3 0

3 years ago

Two cylinders are similar with a scale factor of 1:4. Which shows the ratio of the volumes of the cylinders?

Vladimir [108]

E. 3/12 is equivalent to 1/4, which is the ratio of the cylinders.

3 0

3 years ago

Read 2 more answers

Which are true?

Tanzania [10]

Answers:

True. All states have a different approach to collecting revenue, which is money they spend on government programs. Most states have income taxes, but a state like Florida doesn't have income taxes. Instead they rely on sales taxes and property taxes. The general rule is that if one tax is missing, then chances are the other tax rates are higher to make up the lack of funds (that the missing taxes would provide).
False. States vary in sales tax rates. For instance, Alabama's sales tax is 4% while Arkansas is 6.5%
True. You can do an online search of "states without sales tax" to find sources to help confirm this. Keep in mind that while the state overall does not impose sales tax, this does not mean the city and/or county governments won't impose sales tax. Unfortunately it's hard to escape taxes and sales tax is just one of those inevitable things.
True. As mentioned in problem 3, local governments (city and/or county) tend to impose taxes of their own on top of state sales taxes. Sales taxes fund state programs while local taxes fund local programs. Though some local government programs will use state or federal dollars.

6 0

3 years ago