Chocolate cost $1.50 and was paid for with $5 which three coins were given as change

The volume of the rectangular prism can be express in standard polynomial as follows:

x³ + 12x² + 35x

volume of a rectangular prism = lwh

where

Therefore,

let

height = x

width = x + 5

length = x + 5 + 2 = x + 7

Therefore,

volume = x(x + 5)(x + 7)

volume = x(x² + 7x + 5x + 35)

volume = x(x² + 12x + 35)

volume = x³ + 12x² + 35x

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The slant height of the given cone will be 12.06 inches.

The measurement from the base to the peak along the "center" of a lateral face of an object, such as a cone, is its slant height.

Given that:-

The slant height will be calculated as:-

Surface area = π r l

151.58 = π x 4 x l

l = 151.58 / ( π x 4 )

l = 12.06 inches.

Therefore slant height of the given cone will be 12.06 inches.

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Answer:

[tex] \frac{18}{12} = \frac{24}{x - 2} [/tex]

(a) 10% of x = 9

x = 9 ⋅ (100/10)

x = 90 kg

(b) 12% of x = 12/100 of 90

Weight she lost = 10.8

Her new weight = 90 - 10.8

= 79.2kg

p → q  represents the original conditional statement and the contrapositive of the original conditional statement. Then the correct options are A and E.

The missing options are given below.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

Doubling the dimensions of a rectangle increases the area by a factor of 4.

If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4.

Then the true statement will be

Then the correct options are A and E.

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Answer:

Step-by-step explanation:

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:Angle \:\: of \:\: elevation= 30° [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Let the angle of elevation be " x "

[tex]\qquad \tt \rightarrow \: \cos(x) = \dfrac{9 \sqrt{3} }{18} [/tex]

[tex]\qquad \tt \rightarrow \: \cos(x) = \dfrac{ \sqrt{3} }{2} [/tex]

[tex]\qquad \tt \rightarrow \: x = \cos {}^{ - 1} \bigg( \cfrac{ \sqrt{3} }{2} \bigg ) [/tex]

[tex]\qquad \tt \rightarrow \: x = 30 \degree \: \: or \: \: \cfrac{ \pi}{6} \: \: rad[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

The angle is 60 degree.

Step-by-step explanation:

First of all, we will find the height if the tree by using Pythagorean theorm.

Let, height of tree be x.

18^2=(9(3^1/2))^2+x^2

324=243+x^2

x^2=324-243

x^2=81

x=9

Now, let the angle be y.

tan y= x/base

tan y=9/9×(3^1/2)

tan y=1.73

y=cot 1.73

y= 60

Answer:

4,300

Step-by-step explanation:

total cost of the shipment of tile cost =$64,500

each tile cost =$15

how many pieces will now be the total cost of shipment tile divided by the cost of each tile

which will be

64500/15

=4,300 tiles are there

i am glad I helped

Answer:

a).1000/400*100

= (1000*100)/400

= 100000/400 = 250

b).600

Step-by-step explanation:

a). Percentage solution with steps:

Step 1: We make the assumption that 400 is 100 % since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100 % = 400.

Step 4: In the same vein, x % = 1000 .

Step 5: This gives us a pair of simple equations:

100 % = 400(1).

x % = 1000(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

100 % / x % = 400/1000

Step 7: Taking the inverse (or reciprocal) of both sides yields

x/100 = 1000/400

x = 250 %

Therefore, 1000 is 250 % of 400.

b) $1000-$400= 600

= $400+$600=$1000

Answer:

330.6

Step-by-step explanation:

You have to enter 290 for x.

T(290) = 290 + 0.14(290)

T(290) = 290 + 40.6

T(290) = 330.6

Answer:

a. 42 g

b. 2.8 g

Step-by-step explanation:

a. Since the entire thing weighs 56g and gold is 75% of the mass you simply find 75% of the mass. This is done by converting the 75% into decimal form by dividing it by 100 to get 0.75 and then multiply it by the 56 g to get (0.75 * 56 g) = 42 g

b. same thing here as the previous answer. 5%/100 = 0.05. (0.05 * 56 g) = 2.8 g