When the input is 1, what is the output of the function? That is, find the value of g(1).

The total surface area of the pyramid is 52 square units

The formula for calculating the area of the triangular based pyramid is expressed as;

[tex]TSA=Base \ Area+\frac{1}{2}ps[/tex] where;

p is the perimeter of the base

s is the slant height

Get the Base area

[tex]Base \ Area = \frac{1}{2}bh\\Base \ Area = \frac{1}{2}*6*\sqrt{5^2-3^2} \\ Base \ Area = \frac{1}{2}*6*\sqrt{25-9} \\ Base \ Area = \frac{1}{2}*6*\sqrt{16} \\ Base \ Area = \frac{1}{2}*6*4 \\ Base \ Area = \frac{24}{2} \\Base \ Area = 12 units^2[/tex]

Get the perimeter

Perimeter = 5 + 5 + 6

Perimeter = 16 units

Slant height = 5units

Substitute the given values into the formula above as shown;

[tex]TSA=12+\frac{1}{2}*16*5\\TSA=12+(8*5)\\\\TSA = 12 + 40\\TSA = 52 units ^2[/tex]

Hence the total surface area of the pyramid is 52 square units

Learn more here: https://brainly.com/question/23353623

Answer:

52squnits

Step-by-step explanation:

Answer:

(-9,1.5)

Step-by-step explanation:

(-6*1.5, 1*1.5)

Answer:

The quadratic formula: (-b+-sqrtb^2-4ac)/2a

Plugging in the values of a=1, b=9, and c=10, the roots of the equation are: -7.7 and -1.3.

So, the first option is correct.

Let me know if this helps!

Answer:

243

Step-by-step explanation:

When you multiply 3 five times you get 243.

Answer: 243

Step-by-step explanation: Make sure to multiply three five times/ Don't get confused so right when you do three times three you multiply it by the number you got.

Answer:

86°

Step-by-step explanation:

(a+c)/2=86

in this case, a=c

so,

2c/2=86

or, c=86

Answer:A

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

→ Calculate how many are mint ice cream's

[tex]\frac{1}{3}[/tex] × [tex]30[/tex] = 10

→ Calculate how many are chocolate

30 - 10 = 20

[tex]\frac{1}{2}[/tex] × 20 = 10

→ Now find the vanilla

30 - ( 10 + 10 ) = 10

Answer:

B

Step-by-step explanation:

it is an exponential function

Answer:

Sorry if you don't understand my HANDWRITING

Answer:

Step-by-step explanation:

Sin ∅ = [tex]\frac{opposite \ side }{hypotenuse}=\frac{7}{25}\\\\[/tex]

Cos ∅ = [tex]\frac{adjacent side}{hypotenuse}=\frac{24}{25}[/tex]

Tan  ∅  = [tex]\frac{opposite \ side}{hypotenuse}=\frac{7}{24}[/tex]

Answer:

Ông sáu sẽ mất 4281000 đồng

Answer:

b = 35 minutes

Step-by-step explanation:

A)

How long he plays basketball = x

How long he plays volleyball = y

x + y = 95

x = y + 25

B) We will replace (x = y + 25) as x in the first equation

(y + 25) + y = 95

2y + 25 = 95

2y = 95-25

2y = 70

y = 70/2

y = 35

He plays volleyball for 35 minutes everyday

answered by g a u t h m a t h

Answer:

$40.00, $30.00, B

Step-by-step explanation:

We can first write an expression for the cost of each plan.

Given x amount of texts and y amount of minutes, plan A costs 15 cents per text sent (so given x amount of texts, plan A costs 15 * x for texts) and 10 cents per minute (so given y amount of minutes, plan A costs 10 * y for minutes). Adding these up, plan A costs 15 * x + 10 * y. Plugging Jaden's 200 texts in for x and 100 minutes in for y, we have

15 * x + 10 * y = 15 * 200 + 10 * 100 = 4000 cents. 100 cents = 1 dollar, and the conversion rate for cents to dollars is divide by 100, so we divide 4000 cents by 100 to get $40.00 as the cost for plan A

For plan B, the flat rate is 15 dollars. To convert from dollars to cents, we multiply by 100, so 15 * 100 = 1500 cents for the flat fee.

Texts cost 5 cents per text, so 5 * x is the cost for texts in cents for plan B. Similarly, 5 * y is the cost for minutes in cents for plan B. Adding these up, we get

1500 + 5 * x + 5 * y

combine like terms

1500 + 5 * (x+y)

plug 200 in for x and 100 in for y

1500 + 5 * (200+100)

1500 + 5 * (300)

1500 + 1500

3000

divide by 100 to convert to dollars

$30.00 is the cost for plan B

$30 < $40, so plan B will be cheaper for Jaden

Answer:

B

Step-by-step explanation:

To get from 60 to 75, you multiply by a certain factor. That factor is 75/60 = 1.25. In percents this is 125%

60 * 125% = 75

So if 60 is 100%, then 75 is 25% more than 60.

Answer:

The derivative of the function f(x) = -5x+3x is ---->  -2

Step-by-step explanation:

Answer:

im not sure, but i have

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

I am odd number my digits add up to 7 i am bigger than 50 and smaller 100

Answer:

6.82 cm

Step-by-step explanation:

1000=V=pi*r^2*h. 1000=pi*r^3, r=6.82 cm

Answer:

68 words

Step-by-step explanation:

To find how many words Gordon types per minute :

1972 ÷ 29 = 68 #

The constant of proportionality is 10.

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. The constant of proportionality is the fixed or constant pace at which ratios rise and decrease. Two ratios are said to be directly proportional if they share the same constant of proportionality. Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality. The constant of proportionality is the name given to this consistent pace of growth or decline.

a)

since , 1 cm = 10mm

9cm = 90mm

12.5cm = 125mm

50cm = 500mm

88.49cm = 884.9mm

b)

The constant of proportionality is 10.

To know more about constant of proportionality please visit:

https://brainly.in/question/15971683?

#SPJ2

Answer:

-2x^2-8x+12

Step-by-step explanation:

f(x) = 3x^2-2x+4

g(x) = 5x^2+6x-8

(f-g)(x)= 3x^2-2x+4 -(5x^2+6x-8)

Distribute the minus sign

(f-g)(x)= 3x^2-2x+4 -5x^2-6x+8

Combine like terms

          =-2x^2-8x+12

Answer: (f+g)(x)=8x^2+4x-4

Step-by-step explanation:

Answer:

the points indicats exterior of the angle

Answer:

[tex]27^{\frac{1}{5} }[/tex] = [tex]\sqrt[5]{27}[/tex]

[tex]\sqrt[4]{256} = \sqrt[4]{2^{8} } = 2^{2} = 4[/tex]

[tex]a^{\frac{b}{c} } = \sqrt[c]{a^{b} }[/tex]

[tex]\sqrt[3]{125^{2} } = \sqrt[3]{ (5^{2})^{3} } = 5 ^{2} = 25[/tex]

[tex]\sqrt{112} = \sqrt{2^{4} * 7 } = 4\sqrt{7}[/tex]

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

option D

Step-by-step explanation:

the formula for slope is: y = mx + b

where m = slope & b = y intercept

so in y = -2x + 1,

m (slope) = -2     &      b (y-int) = (0,1)

Answer:

The first option, (x-3)^2 + (y+4)^2 = 1

Step-by-step explanation:

The circle formula for graphing is (x-h)^2 + (y-v)^2 = r^2 with the center of the circle being (h,v) and the radius being r. With that said, we just plug in the values we see on the graph, which is h = 3, v = -4, and r = 1. Once we do some simplifying, we would get the equation of (x-3)^2 + (y+4)^2 = 1, which is the first option!

I hope this helped! :D

Answer:

Step-by-step explanation:

We have a formula for these types of problems called the distance formula. If you learned it during class, it's great to memorize it so that you're prepared whenever a problem like this (where we need to find the distance between two points) comes up!

The distance formula

d=[tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1}^{2}}[/tex]

I'll comment the answer down below, but doing problems is the best way to memorize equations. Trust me on this one.

Answer:

Baba

Step-by-step explanation:

Booey

Answer:

(4x10^1)(2x10^4)

=40^1 × 20^4

=800^5

Answer:

8 x 10^5

Step-by-step explanation:

We can start by grouping the powers of ten together and the other numbers together, as you can move numbers around when multiplying:

4 x 2 x 10^1 x 10^4

4 multiplied by 2 is 8, so we can put that in:

8 x 10^1 x 10^4

Next, using the product rule, 10^1 x 10^4 would be ten to the power of the sum of the two exponents, or 10^(4 + 1), which is 10^5.

We will be left with

8 x 10^5

This is in scientific notation, so no further modification is needed.