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3 years ago

What is the surface area of a rectangular box that is 12 centimeters long, 10 centimeters wide, and 15 centimeters high?

Mathematics

1 answer:

Harman [31]3 years ago

4 0

SA= 2LW + 2LH + 2WH
Substituting for the values, SA = 900 cm^2

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Will give BRAINEST

zmey [24]

Correct Answer: is 8x=16

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3 years ago

Find the product. Simplify your answer.

statuscvo [17]

Answer:

1/5

Step-by-step explanation:

Factor x² - 5x - 6

x² - 5x - 6 = (x + 1)(x - 6)

$\frac{x-6}{(x+1)(x-6)}$

Cancel the common factor.

$\frac{1}{x+1}$

$\frac{1}{x+1}$ · $\frac{x+1}{5}$

$\frac{1*(x+1)}{5*(x+1)}$

Cancel the common factor.

1/5

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3 years ago

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Joes age (j) is half Martha’s (m). Combined, their age is 42. What are their ages?

svp [43]

Answer:

Joe is 14.

Martha is 28.

Step-by-step explanation:

Use the variables and information from the question to make equations.

If Joe's age is half Martha's:

(1/2)m = j OR 2j = m

If their ages combined is 42:

m + j = 42

We can substitute the equation m=2j into equation m + j = 42, replacing "m".

m + j = 42 Substitute m for 2j

2j + j = 42 Combine like terms, terms with same varables

3j = 42 Divide both sides by 3 to isolate j

j = 14 Joe's age

Since j = 14, we can substitute it into equation m=2j to find "m".

m = 2j Substitute j for 14

m = 2(14) Simplify

m = 28 Martha's age

Therefore Joe is 14 and Martha is 28.

5 0

3 years ago

Using mental math, the approximate tip to leave for a bill of $81.79, if you tip 15% would be _____.. a. $8.20 b. $10.30 c. $12.

Anton [14]

Step-by-step explanation:

The approximate tip is - 12.30$

Because bill is 81.79$

and tip - 15%

therefore bill amount divided by 15/100

==> 81.79* 15% is 12.30$

4 0

3 years ago

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In parallelogram QRST QS RT Is QRST a rectangle ?

fomenos

Answer:

The correct option is A.

Step-by-step explanation:

It is given that the QRST is a parallelogram and the diagonals QS and RT are congruent.

According to the property of parallelogram if the length of diagonals are same, then the parallelogram is rectangle. We can also prove it.

Let QRST be an parallelogram and QS=RT.

In triangles QRT and RQS.

$RT=QS$ (Diagonals)

$QR=QR$ (Common side)

$QT=RS$ (Opposite sides of the parallelogram are same)

So by SSS rule of congruence, triangle QRT and triangle RQS are congruent.

By CPCT,

$\angle R=\angle Q$

Since the sum of two consecutive angles of a parallelogram is 180 degree.

$\angle R+\angle Q=180$

$2\angle R=180$

$\angle R=90$

Therefore the measure of angle R and angle Q are 90 degree.

Similarly in triangle QST and RTS,

$RT=QS$ (Diagonals)

$ST=ST$ (Common side)

$QT=RS$ (Opposite sides of the parallelogram are same)

So by SSS rule of congruence, triangle QST and RTS are congruent.

By CPCT,

$\angle S=\angle T$

Since the sum of two consecutive angles of a parallelogram is 180 degree.

Therefore the measure of angle S and angle T are 90 degree.

Since the measure of all interior angles of QRST are 90 degree, therefore the parallelogram QRST is a rectangle.

6 0

3 years ago

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