Find the surface area of the triangular prism???? Plz help meeeeeeee

Answers

Answer 1

Answer:

9×11+12×11+(2×0.5×9×12)+11×15=

=99+132+108+165=504cm²

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Which is greater a 2.75 gallon container or juice or 12 liter container of juice

Answers

a 2.75 gallon container because 2.75 gallons in liters is 12.5017475.

A 3 and a half gallon gas can contains 9/10 gallon.How much more gas can be poured in?

Answers

2 and 3/5 gallons of gas can be poured in

27 is the relationship linear, exponential, or neither? Options: a. Linear b. Exponential c. Neither

Answers

Answer: Here's my answer

Step-by-step explanation:

The relationship given, 27, is neither linear nor exponential.

In a linear relationship, the dependent variable (y) changes at a constant rate for every unit increase in the independent variable (x). This results in a straight line when plotted on a graph. However, the given value, 27, does not provide any information about how the variable changes in relation to another variable. Without this information, we cannot determine if the relationship is linear.

In an exponential relationship, the dependent variable (y) changes at an increasing or decreasing rate based on a constant ratio for every unit increase in the independent variable (x). This results in a curved line when plotted on a graph. Since the given value, 27, does not provide any information about the rate of change or the constant ratio, we cannot determine if the relationship is exponential.

Therefore, based on the given information, the relationship 27 is neither linear nor exponential.

Rachna has nickels, dimes, and quarters in her piggy bank. She has $4.65 altogether. She has three more quarters than dimes and twice as many nickels as quarters. How many quarters does Rachna have?

A. 8
B. 11
C. 22
D. 41

Answers

we can translate the given statements into algebraic expressions. In this case,

0.05x + 0.10y + 0.25z = 4.65z = 3 + yx = 2 z
solving these linear equations simultaneously, x = 22y = 8z= 11hence the answer is B. 11

For this case we have the following variables:

x: number of nickels

y: number of dimes

z: number of quarters

We now write the system of equations that models the problem:

$0.05x + 0.1y + 0.25z = 4.65 z = y + 3 x = 2z$

Rewriting the equations as a function of z we have:

$0.05 (2z) + 0.1 (z-3) + 0.25z = 4.65$

From here, we clear the value of z:

$0.1z + 0.1z - 0.3 + 0.25z = 4.65 0.1z + 0.1z + 0.25z = 4.65 + 0.3 0.1z + 0.1z + 0.25z = 4.65 + 0.3 0.45z = 4.95$

$z = (4.95)/(0.45) z = 11$

Answer:

The number of quarters that Rachna has is:

B. 11

Solve the triangle.

B = 72°, b = 12, c = 8

Answers

Answer:

Part 1) $C=39.3\°$

Part 2) $A=68.7\°$

Part 3) $a=11.8\ units$

Step-by-step explanation:

we know that

Applying the law of sines

$(a)/(sin(A))=(b)/(sin(B)) =(c)/(sin(C))$

In this problem we have

$B=72\°$

$b=12\ units$

$c=8\ units$

Step 1

Find the measure angle C

$(b)/(sin(B)) =(c)/(sin(C))$

substitute the values and solve for C

$(12)/(sin(72\°)) =(8)/(sin(C))\n \nsin(C)=sin(72\°)*(8/12)\n \nsin(C)= 0.6340\n \nC=39.3\°$

Step 2

Find the measure of angle A

we know that

The sum of the internal angles of the triangle must be equal to $180$ degrees

$m<A+m<B+m<C=180\°$

we have

$m<B=72\°$

$m<C=39.3\°$

$m<A+72\°+39.3\°=180\°$

$m<A=180\°-72\°-39.3\°=68.7\°$

Step 3

Find the measure of side a

Applying the law of cosines

$a^(2)=b^(2)+c^(2)-2(b)(c)cos(A)$

substitute

$a^(2)=12^(2)+8^(2)-2(12)(8)cos(68.7\°)$

$a^(2)=208-(192)cos(68.7\°)$

$a^(2)=138.26$

$a=11.8\ units$

The answer is 12^2=x^2+8^2-16x(cos(72°)
x^2-4.9443x=80
(x-2.4721)^2=86.1115
x-2.4721=±9.2796
x=11.7517

B=72°, b=12, c=8, a=11.8
C=arcsin(8/12*sin(72°))=39.3°
A=68.7°

If g(x)=x squared+2 find g(3)

Answers

Answer:

Step-by-step explanation:

x^2+2

(3)^2+2

9+2=11

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