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lisabon 2012 [21]

2 years ago

11

Andrea withdrew $40 each week from her account she made no deposits that account is now at zero dollars write a numeric equation

using negative’s to show the amount of money in the account three weeks ago

1 answer:

allochka39001 [22]2 years ago

6 0

Answer:

-40X-3=120

Step-by-step explanation:

20 characters

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What is the total surface area of the rectangular prism?

bogdanovich [222]

Answer:

Total surface = 102.4 cm^2 (second answer in the list of options)

Step-by-step explanation:

Notice that we need to add the surface of 4 rectangles, two have smaller sizes than the other two. A pair of rectangles are 7.2 cm x 4 cm = 28.8 cm^2, while the other pair has 7.2 cm x 2 cm = 14.4 cm^2

There are also two equal bases each one of size 4 cm x 2 cm = 8 cm^2

Now we add two of each of the individual surfaces discussed above to complete the total surface area:

2 * 28.8 + 2 * 14.4 + 2 * 8 = 102.4 cm^2

which agrees with the second answer option provided.

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3 years ago

1) Given: circle k(O), ED= diameter ,m∠OEF=32°, m(arc)EF=(2x+10)° Find: x

qaws [65]

1. The major arc ED has measure 180 degrees since ED is a diameter of the circle. The measure of arc EF is $(2x+10)^\circ$ , so the measure of arc DF is

$m\widehat{DF}=360^\circ-180^\circ-(2x+10)^\circ=(170-2x)^\circ$

The inscribed angle theorem tells us that the central angle subtended by arc DF, $\angle DOF$ , has a measure of twice the measure of the inscribed angle DEF (which is the same angle OEF) so

$m\angle DOF=2m\angle OEF=64^\circ$

so the measure of arc DF is also 64 degrees. So we have

$170-2x=64\implies106=2x\implies\boxed{x=53}$

###

2. Arc FE and angle EOF have the same measure, 56 degrees. By the inscribed angle theorem,

$m\angle EOF=2m\angle EDF\implies56^\circ=2m\angle EDF\implies m\angle EDF=28^\circ$

Triangle DEF is isosceles because FD and ED have the same length, so angles EFD and DEF are congruent. Also, the sum of the interior angles of any triangle is 180 degrees. It follows that

$m\angle EFD+m\angle EDF+m\angle DEF=180^\circ\implies\boxed{m\angle EFD=76^\circ}$

Triangle OFE is also isosceles, so angles EFO and FEO are congruent. So we have

$m\angle EFO+m\angle FEO+m\angle EOF=180^\circ\implies\boxed{m\angle EFO=62^\circ}$

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2 years ago

Find the equation of the line.

Grace [21]

Answer:

m: $-\frac{1}{3}$

Step-by-step explanation:

Pick two points (0,5) and (3,4)

use the formula to find slope: $\frac{y2-y1}{x2-x1}$

Insert values: $\frac{4-5}{3-0}$

m: $-\frac{1}{3}$

:-)

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2 years ago

A pizza restaurant starts the day with a certain amount of pizza dough. The length of time the dough will last varies inversely

nordsb [41]

Answer:

thats alot of people don't you think

Step-by-step explanation:

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2 years ago

The temperature is −18.2 Celsius in South Dakota and -9.7 Celsius Minnesota. Which one of the following inequalities correctly c

Ne4ueva [31]

Answer:

The answer is A) -9.7 > -18.2

Step-by-step explanation:

This is because, when you are thinking about negative numbers, the closer they are to 0, the greater they are. So, it is warmer in Minnesota.

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3 years ago