Find the volume of the solid below.

Answer:

∠1 = 52

∠2 = 128

∠4 = 128

Step-by-step explanation:

∠3 and ∠1 are vertical angles

As we now vertical angles are congruent

So if ∠3 = 52°, then ∠1 also equals 52°

∠3 and ∠4 are supplementary angles

supplementary angles add up to equal 180

Thus, ∠3 + ∠4 = 180

If ∠3 = 52°

Then 52 + ∠4 = 180

180 - 52 = 128

Hence, ∠4 = 128

∠4 and ∠2 are vertical angles

Like stated previously vertical angles are congruent

So if ∠4 = 128 then ∠2 also equals 128

Answer:

I. 1,000 dollars

II. 1,061.84 dollars

III. 1,127.50 dollars

Step-by-step explanation:

Formula for continuous compound interest:

[tex]A = Pe^{rt}[/tex]

Plug in the values for one year:

A = 1000(2.71828)^(0.06)(1)

A = 1,061.84 dollars

Plug in the values for two years:

A = 1000(2.71828)^(0.06)(2)

A = 1,127.50 dollars

The correct place value for the expression 932.076 is defined by option A, D, and E.

Expression is equal to 932.076,

The explanation of the place value of all the options are as follow,

Nine hundred thirty-two and 76 thousandth = 932.076

Option (A) is correct answer.

9·100 + 32 + 76/100

= 900 + 32 + 0.76

= 932.76

Option (B) is not the correct answer.

93·10 + 2 + 7/10 + 6/100

= 930 + 2 + 0.7 + 0.06

= 932.76

Option (C) is not the correct answer.

9·100 + 3·10 + 2 + 76/1000

= 900 + 30 + 2 + 0.076

= 932.076

Option (D) is the correct answer.

93·10 + 2·1 + 7/100 + 6/1000

= 930 + 2 + 0.07 + 0.006

= 932.076

Option (E) is the correct answer.

Nine hundred thirty-two and 76 hundredth = 932.76 not 932.076

Option (F) is not the correct answer.

Therefore, the correct place value of the given expression is equal to option A, D, and E.

learn more about place value here

brainly.com/question/16090317

#SPJ1

Answer:

can you put it in English

Answer:

Volume = 500 cm³

Step-by-step explanation:

Given the following data;

Side length of the base = 10cm

Height = 15 cm

To find the volume of pyramid with a square base;

Mathematically, the volume of a pyramid with a square base is given by the formula;

Volume of square-based pyramid = A(h/3)

Where;

A is the area of the square base.

h is the height of the pyramid.

First of all, we would find the area of the square base;

Area of square, A = L²

A = 10²

A = 100 ft²

Next, we find the volume of the square-based pyramid;

Volume = 100(15/3)

Volume = 100 * 5

Volume = 500 cm³

Answer:

I will subtract both sides by 10. X=-10

Step-by-step explanation:

X= -10 because if you subtract it to -x it will cancel out the negative.  

Answer:

I will divide both sides by -1.

x = -10

Step-by-step explanation:

To solve this, we have to isolate x on one side of the equation. In this equation, 10 = -x.

Remember that the coefficient of a single variable is always 1, so 1x = x. We have -x, which means it's actually -1x. Solve using -1x instead of -x.

[tex]-x=10[/tex]

[tex]-1x=10[/tex]

Divide both sides by -1 to isolate x.

[tex]\frac{-1x}{-1} =\frac{10}{-1}[/tex]

Simplify.

[tex]x = -10[/tex]

x is equal to -10.

The answer is I will divide both sides by -1.

x = -10

I hope this helps :)

Answer:

subject?

Step-by-step explanation:

Answer:

A. [tex]Log_p N = b \ and \ b^p = N[/tex]

Step-by-step explanation:

A. The given options are;

[tex]Log_p N = b \ and \ b^p = N[/tex]

For [tex]Log_p N = b[/tex] we have;

[tex]p^b = N[/tex]

However;

[tex]b^p = N[/tex]

Where, p ≠ b

[tex]p^b \neq b^p[/tex]

Therefore;

N ≠ N for the given pair and the pair are therefore, not equivalent

B. x = √y and [tex]x = y^{1/2}[/tex]

We note that

x = √y = [tex]y^{1/2}[/tex]

We have;

x = [tex]y^{1/2}[/tex], by transitive property

Therefore, the pair, x = √y and [tex]x = y^{1/2}[/tex] are equivalent

C. [tex]Log_b N = p \ and \ b^p = N[/tex]

From [tex]Log_b N = p[/tex], we have;

[tex]b^p = N[/tex]

Therefore, [tex]Log_b N = p \ and \ b^p = N[/tex] are equivalent pairs as [tex]b^p = N[/tex] can be obtained from [tex]Log_b N = p[/tex]

D. ㏑x = y and x = [tex]e^y[/tex]

[tex]ln \ x = ln_e \ x = y[/tex], therefore, by rules of logarithm, we have;

x = [tex]e^y[/tex]

Therefore, ㏑x = y and x = [tex]e^y[/tex] are equivalent pairs, as x = [tex]e^y[/tex] can be obtained from ln x.

Therefore;

The option which are not equivalent pair is option is [tex]Log_p N = b \ and \ b^p = N[/tex]

Answer:

B. 135

Step-by-step explanation:

Answer:

15wy

Step-by-step explanation:

if toh take 19 and divide it by 16 that's how I got my answer on edunity

Answer:

don't worry I'm on my way step bro ! where'd you get stuck ?! (;

Answer: C = 30h + 70

Step-by-step explanation:

The base price for 1 hour is $70, and for each hour after that the total cost goes up by $30. So this equation shows that for every hour after the first, +$30 is added to the total cost.

Answer:

x = 88

Step-by-step explanation:

Opposite angles in a quadrilateral inscribed in a circle are supplementary

Supplementary meaning that the sum of the two angle measures is 180

The opposite angle of "x" is ∠B which has a measure of 92°

Thus, 92 + x = 180

180 - 92 = 88

Hence, x = 88  

Answer:

45x8 i  think

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step 1: Divide both sides by 6.

[tex]\frac{6x^2}{6}[/tex]   =   [tex]\frac{294}{6}[/tex]

[tex]x^{2}[/tex] = 49

Step 2: Take the square root.

x = [tex]\sqrt{49}[/tex]

x=7 (because 7×7=49

Answer:

d

Step-by-step explanation:

it's 4 because I'd you put the numbers from least to greatest its in the middle

Answer:

2

Step-by-step explanation:

arrange the numbers in order

count how many numbers you have

if have ood number divide by 2 and round up to get the position of the median number

Answer:

Area  =  40mm

Example:

The below-solved example problem may be useful to understand how the values are being used in the mathematical formulas to find the trapezoid area.

Example Problem :

Find the area of a trapezoid having the bottom length a = 15 cm, top length b = 12 & height h = 9 cm?

Solution :

The given values

bottom length a = 15 cm

top length b = 12 cm

height h = 10 cm

Step by step calculation

formula to find area = ((a + b)/2) h

substitute the values

= ((15 + 12)/2) x 9

= 121.5 cm2

Answer:

C

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent

x is the angle between line with 3 strokes and 2 strokes

The corresponding angle is therefore ∠ C

∠ C = 180° - (63 + 29)° = 180° - 92° = 88°

Then x = 88 → C

Commercials: 9 commercials per hour

tutoring: 750 dollars

Dog: 7 miles

Answer:

18

Step-by-step explanation:

Answer:

a) identity property of multiplication

b) commutative property in addition

Answer:

x=50

Step-by-step explanation:

Because these angles are vertical, they are equal. Let’s find x.

[tex]3x+12=162[/tex]

[tex]3x=150[/tex]

[tex]x=50[/tex]

So, x=50.

Step-by-step explanation:

your mom gives you 200 dollars to start your candy business. you earn 2 cents for every piece of candy you sell. how much money, b will you have if you've sold x candy

or

the product of .02 and x plus 200 equals b.

Answer:

b is equal to 200 plus the product of 0.02 and x.

Answer:

Step-by-step explanation:

Outlier

Answer:

The answer to your question is C.

Step-by-step explanation:

Because the number of people with 4-5 pets is 9 and the 2-3 pets number is 4 9-4=5.

Answer:

75°

Step-by-step explanation:

the sum of the interior angles is always 180

43+62= 105

180-105=75

Answer:

it's 75

Step-by-step explanation:

we know that 180 is equal to angle one plus two plus three we can plug in