The sum of four consecutive even numbers is 60. Find the smallest of the four number.

Answer:

Step-by-step explanation:

ABC is an isosceles triangle

Then

m∠ABC = m∠ACB

The sum of the interior angles of a triangle is equal to 180°

Then

m∠ABC + m∠ACB + m∠BAC = 180°

Then

m∠ABC + m∠ACB + 45 = 180°

Then

2 × m∠ABC = 180°

Then

m∠ABC = (180−45)÷ 2 = 67.5°

Law of SIN :

[tex]\frac{9}{\sin \left( 67.5\right) } =\frac{BC}{\sin \left( 45\right) }[/tex]

[tex]BC=\frac{9}{\sin \left( 67.5\right) } \times \sin \left( 45\right) ==6.888301782572[/tex]

Answer:

44 grams carbohydrates = 176 calories

36 gram of fat = 324 calories

37 gram of protien = 148 calories

44 grams of Carbohydrates = 176 calories

36 grams of Fat = 324 calories

37 grams of Protein = 148 calories

To calculate the number of calories from each macronutrient (carbohydrates, fat, and protein), you need to know the caloric content per gram for each nutrient.

The caloric content per gram is as follows:

- Carbohydrates: 1 gram = 4 calories

- Fat: 1 gram = 9 calories

- Protein: 1 gram = 4 calories

Now, let's calculate the number of calories for each macronutrient in the Wendy's Big Bacon Classic:

1. Carbohydrates:

Calories from Carbohydrates = 44 grams × 4 calories/gram

Calories from Carbohydrates = 176 calories

2. Fat:

Calories from Fat = 36 grams × 9 calories/gram

Calories from Fat = 324 calories

3. Protein:

Calories from Protein = 37 grams × 4 calories/gram

Calories from Protein = 148 calories

In total, the burger would have 176 + 324 + 148 = 648 calories.

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Answer:

D) (f o g)(x) = 10x² - 60x + 93

Step-by-step explanation:

f(x) = 10x² + 3

g(x) = x - 3

⇒ (f o g)(x)

⇒ f(x - 3)

⇒ f(x - 3) = 10(x - 3)² + 3

⇒ f(x - 3) = 10(x² - 6x + 9) + 3

⇒ f(x - 3) = 10x² - 60x + 90 + 3

⇒ (f o g)(x) = 10x² - 60x + 93

Answer:

[tex]\textsf{D)} \quad (f \circ g)(x)=10x^2-60x+93[/tex]

Step-by-step explanation:

[tex]\textsf{If }\:f(x)=10x^2+3\:\textsf{ and }\:g(x)=x-3\:\textsf{ then}:[/tex]

[tex]\begin{aligned}(f \circ g)(x) & = f[g(x)]\\ & = f(x-3)\\& = 10(x-3)^2+3\\& = 10(x^2-6x+9)+3\\& = 10x^2-60x+90+3\\& = 10x^2-60x+93\\\end{aligned}[/tex]

Answer:

the answer is C

Step-by-step explanation:

add them all together with the 0.10C increase which gives you 11.2 then divide by the number of different beans which is 5 and it gives you 2.24

Answer:

C

Step-by-step explanation:

In the unit circle

cos x corresponds with x

sin x corresponds with y.

Here, they are both negative so the angles lies in the third quadrant because both x and y is negative in the third quadrant

Step-by-step explanation:

the other answer we is correct.

here a few words about why :

the quadrants in a circle start in the right top corner. so, right top is number I.

left top is number II.

left bottom is number III.

right bottom is number IV.

simply because this goes with the growing angle. the angle starts at 0° at the right center. and then it grows counterclockwise and goes all around the circle until reaching 360° being equal to 0° again.

Answer:

The circumstances of the circle is six

Step-by-step explanation:

3×2=2

Answer:

pls find given attachment

Answer:

B

Step-by-step explanation:

it is B I am so sorry if it is wrong

Answer:

horizontal line

Step-by-step explanation:

The slope formula is m=(y2-y1)/(x2-x1)

-6+6/-4-1

y2-y1 = 0

By applying aritmethics and concept of capacity we conclude that the bottle containing 2 1/2 cups of apple juice contains 5 servings containing 1/2 cups each.

In this question we are dealing with capacities, capacities are an application of volumes. A bottle contains a capacity equivalent to a given quantity of cups. The number of cups is found by dividing the capacity of a bottle by the capacity of a serving:

[tex]x = \frac{\frac{5}{2}\,cups}{\frac{1}{2}\,cups }[/tex]

x = 5

By applying aritmethics and concept of capacity we conclude that the bottle containing 2 1/2 cups of apple juice contains 5 servings containing 1/2 cups each.

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Answer:

2400mi/1 hr is the

answer

Answer:

2400 miles / per hour

Step-by-step explanation:

40 mi                     X

______          _______________

1 minute   =      1 hr ( 60 minutes)

multiply 1 minute on bottom by 60 to get 60 minutes

so multiply the top by 60 (always do same to top and bottom)

40 mi. x 60 = 2400 miles

Answer:

The median is 20

Step-by-step explanation:

They are already in order so you would just have to find the middle.......

Hope this helps.......if not then sorry for wasting your time and may God bless you

The surface area of the triangular prism is 330 centimetres cube.

surface area of a triangular prism = (a + b + c) l + 2(base area)

where

Hence,

surface area = (5 + 12 + 13)9 + 5 × 12

surface area = 30(9) + 60

surface area = 270 + 60

surface area = 330 cm³

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Answer:

1. 2x^4(5 − x)

3. 7y^5(2y^4 − 3y+4)

5. −3(a^4 − 3a^2 + 4)

Answer:

The explanation is in the image

Step-by-step explanation:

Look for a number or alphabet that all the terms given have in common.

Answer:

Step-by-step explanation:

Answer:

87124 + 14997 = 102121

Hope it helpz~ uh..

Carry on learning :)

Answer:

102121

Step-by-step explanation:

Answer: The surface area is 173.2 mm²

Step-by-step explanation: If the four triangles are equilateral and one of the sides is 10 then all the other sides must be 10 as well, meaning that the surface area of each triangle is 43.3 mm². That means that to find the surface area of the whole pyramid you must multiply 43.3 by 4 because there are 4 separate triangles.

43.3 × 4 = 173.2

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

3 + 1/2 - 2 - 7/8

⇒ 3 - 2 = 1

1/2 - 7/8 = ?

⇒ 4/8 - 7/8 = -3/8

1 - 3/8 = 5/8

Alternative approach:

7/2 - 23/8(converted mixed numbers to fractions)

(7 × 8) - (23 × 2) ÷ 2 × 8

= 56 - 46 ÷ 16

= 10/16

= 5/8

Answer:

(x+5,y) = Yes

(5x,5y) = No

(.5x,.5y) = No

(x,-y) Yes

(-x,-y) Yes

Step-by-step explanation:

[tex]\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=4\\ r=5 \end{cases}\implies \begin{array}{llll} SA=2\pi (5)(4+5)\implies SA=10\pi (9) \\\\\\ SA=90\pi \implies SA\approx 282.743~km^2 \end{array}[/tex]

Answer:

4 weeks

Step-by-step explanation:

Given information:

Given equation:

[tex]\sf b = 85 + w(10 + 8)[/tex]

(where b is the balance and w is the number of weeks)

To find the number of it will take to have a balance of $150, substitute b = $150 into the given equation and solve for w:

[tex]\implies \sf 85+w(10+8)=150[/tex]

[tex]\implies \sf 85+18w=150[/tex]

[tex]\implies \sf 85+18w-85=150-85[/tex]

[tex]\implies \sf 18w=65[/tex]

[tex]\implies \sf \dfrac{18w}{18}=\dfrac{65}{8}[/tex]

[tex]\implies \sf w=3.6111...[/tex]

[tex]\implies \sf w=4\:weeks[/tex]

Therefore, there will be $150 in the bank account 4 weeks from now.

Answer:

Heyyy!!!!

Alrighty... here it goes....

Step-by-step explanation:

3/4 + (-2 1/2)

okay... the first thing you have to do is convert 1/2 into fourths. that'll make it way easier to solve..... like way easier.....

then rewrite the expression to get 3/4 + (-2 2/4)

now we know that + - = -

basically you subtract since adding a negative makes you subtract...

3/4 - 2 2/4 gives you - 1 3/4

all you have to do is plot that on the number line and you should be good to go

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

Since the equation provided isn't in it's general form , let's first convert it ~

General form of a Linear equation -

[tex]\bold{ax + b = 0}[/tex]

The equation after getting converted will be as follows ~

[tex] - 7 + ( \frac{4x + 2}{2} ) = 8 \\ \\ \implies \: \frac{ - 14 + 4x + 2}{2} = 8 \\ \\ \implies \: - 14 + 4x + 2 = 16 \\ \\ \implies \: 4x = 16 + 14 - 2 \\ \\ \implies \: 4x = 28 \\ \\\bold{ General \: form \: \dashrightarrow \: 4x - 28 = 0}[/tex]

hope helpful ~

Answer:

A≈9248.85

Step-by-step explanation:

A=2πrh+2πr2=2·π·32·14+2·π·322≈9248.84877

16/10= 96/60=8x/55=8/5

8x*5=55*8

40x=440

x=11

Answer:

26°

Step-by-step explanation:

x + 64° = 90° ( being complementary angles)

x = (90 - 64)°

x = 26°

Answer:

x = 26°

Step-by-step explanation:

x + 64° = 90° [right angle]

x = 90° - 64°

x = 26°

Answer:

569 millimetres because 290 +36 ml is 569