Find the lateral surface area of the triangular prism.
A) 360 cm2
B) 380 cm2
C) 400 cm2
D) 420 cm2

Missing part of question

(a) If all matching cards will increase her score by 18, what are the matching cards

(b) If all matching cards will decrease her score by 12, what are the matching cards

See attachment for cards

Answer:

(a) 9 card number 2 or 6 card number 3

(b) 6 card number -6

Step-by-step explanation:

Given

The number on the cards are: 2, 3, -6 and 4

Solving (a): An increment of 18

From the card numbers attached, there are 3 positive numbers and 1 negative number

If any of the card numbers is to increase her score, then the card number must be positive. So, we have: card numbers 2, 3 and 4 that fit in this category.

Next, for a card number to give an increment of 18; the card number must be a factor of 18.

So, we have:

[tex]\frac{18}{2} = 9[/tex]

[tex]\frac{18}{3} = 6[/tex]

[tex]\frac{18}{4} = 4.5[/tex]

Only 2 and 3 are factors of 18.

So, Natalie cards are: 9 card number 2 or 6 card number 3

Solving (b): A decrement of 12

If any of the card numbers is to decrease her score, then the card number must be negative. So, we have: card -6 that fit in this category.

Next, is to check if -12 is divisible by -6 (-12 means decrement of 12)

So, we have:

[tex]\frac{-12}{-6} = 2[/tex]

So, Natalie cards are: 6 card number -6

Answer:

A

Step-by-step explanation:

You have to do step by step

Applying the Pythagorean Theorem, the size of the TV that is 16 inches by 12 inches is: B)20 inch

Recall:

Given:

l = 16 inches

w = 12 inches

[tex]d = \sqrt{16^2 + 12^}\\[/tex]

[tex]d = \sqrt{400} \\\\\mathbf{d = 20 inches}[/tex]

Therefore, applying the Pythagorean Theorem, the size of the TV that is 16 inches by 12 inches is: B)20 inch

Learn more here:

https://brainly.com/question/11239816

Answer:

79.2 km/hour

Step-by-step explanation:

1 m/sec= 3.6 km/hour 22m/sec= ? so just multiply 22 m/sec by 3.6 km/hour then the answer will be :- 79.2 km/hour

Answer:

24

Step-by-step explanation:

13+11=24

Answer: 88

The unknown angle in the left triangle is 80 since the sum of the angles in a triangle is 180.(180-60-40=80)

The unknown angle (the one that doesn't have a "?") is 36 since there's a straight angle which equals 180.(180-80-64)

Therefore the angle with the "?" is 88 since the sum of the angles in a triangle are 180(180-36-56)

Hope this helps!

The difference of the number of components assembled per day by the experienced and new Employees is : D(t)= 10t(2t+13)/ (t+4)(t+3)

Here we perform subtraction :

D(t) = N(t) - E(t)

N(t) = 50t / (t+4)

E(t) = 70t / (t+3)

The difference :

D(t) = E(t) - N(t)

D(t) = [70t / (t+3)] - [50t / (t+4)]

The L.C.M of (t+3) and (t+4) is (t+3)(t+4)

[70t(t+4)] - [50t(t+3)] / (t+3)(t+4)

70t² + 280t - [50t² + 150t] / (t+3)(t+4)

[70t² + 280t - 50t² - 150t] / (t+3)(t+4)

20t² + 130t / (t+3)(t+4)

D(t) = 10t(2t + 13) / (t+3)(t+4)

The difference of the number of components assembled is : D(t)= 10t(2t+13)/ (t+4)(t+3)

Learn more : https://brainly.com/question/1166214

Answer:b

Step-by-step explanation:

plato

Step-by-step explanation:

24% is the same as 6/25

[tex] \frac{6}{25} \times 40 \\ = \frac{48}{5} = 9.6[/tex]

Answer:

9.6

Step-by-step explanation:

24% of 40 = 0.24 × 40 = 9.6

Answer:

I think it might be 9420 Im not sure though

Step-by-step explanation:

Hey There! Allow me to explain how to solve this (I will not say the answer bc I also don't know but here is how you can find it). As you see the shape is a Cyclinder & the formula for it is V=Bh or V=πr2h. You might wanna start with solving the problems (8x - 4) & (11x + 12) Use the order of PEMDAS (Parrenthesis, Exponets, Multiplication, Division, Addition, Subtraction.) to solve is so if solving (8x - 4) And if x = 8 than first begin with mutiliplying 8 x 8 (Because it says 8x and x = 8 which means we are multiplying) than subtract that with 4 (Which will be 64 - 4). Than for (11x + 12) you will wanna do 11 x 8 which is 88 added by 12 which that will be 100. Than use the formula (V=Bh or V=πr2h) And you should have you're answer! I hoped this help and sorry for not finding the answer but atleast I explained to you on how to solve it! <3

Answer:

$442

Step-by-step explanation:

Given :

Height of patio, h = 8ft

Base of patio = 17 ft

Cost of carpeting = $6.50 per ft²

Area of triangular patio :

Area = 1/2 * base * height

Area = 0.5 * 17 * 8

Area of patio = 4 * 17

Area of patio = 68 ft²

Cost of carpeting :

Area of patio * contains st per ft²

68 * 6.50

= $442

Answer:

Step-by-step explanation:

This is a cyclic quadrilateral.

It has a property of opposite angles being supplementary.

A and C are supplementary angles:

m∠A = 3x + 6 = 3*43+ 6 = 135°

Answer:

<A=135°

Step-by-step explanation:

3x+6+x+2=180

sum of two opposite angle of the cyclic quadrilateral is 180

4x=180-8

x=172/4=43°

<A=3×43+6=135° is your answer

Answer:

Step-by-step explanation:

Required equation:

Correct choice is C

Answer:

4

Step-by-step explanation:

Given that:

X = time taken to complete mathematics homework

Y= time taken to complete language homework

Standard deviation of X ; SD(X) = 3

Standard deviation of Y ; SD(Y) = 4

rho = - 0.375

rho = Cov(X, Y) / SD(X) * SD(Y)

-0.375 = COV(X, Y) / 3 * 4

COV(X, Y) = 12 * - 0.375

COV(X,Y) = - 4.5

Variance(X, Y) = V(X, Y)

V(X, Y) = V(X) + V(Y) + 2COV(X,Y)

V(X) =SD(X)² = 3² = 9

V(Y) = SD(Y)² = 4² = 16

V(X,Y) = 9 + 16 + 2(-4.5)

V(X, Y) = 16

SD(X, Y) = sqrt(V(X, Y)) = sqrt(16) = 4

Hence, standard deviation to complete entire homework, SD(X, Y) = 4

Answer:

Step-by-step explanation:

Answer:

Solution

a+148=180(Angles on a straight line equals180)

▪a=180-148=32

Now,

a+b=90(A right angle is equal to 90)

So,

▪b=90-a=90-32=58

Then,

b=b(base of iscoceles angles of traingle)

Now,

b+b+x=180(sum of angles of triangle equals 180)

or,58+58+x=180

or,x=180-116

▪x=64'

Answer.

Answer:

They will be parallel.

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Translation is the movement of a point up, down, left or right. Rotation is the turning of a point about a fixed point.

If two parallel lines a and b are rotated 90° in the same direction, they would still be parallel. If they are then translated to the right by the same number of units, they would still remain parallel to each other.

Answer: Slope: 3z

Y intercept: -4

Step-by-step explanation:

Answer:

w = -0.5

Step-by-step explanation:

Divide the entire equation by -6.8 to cancel it out and get your "w" variable alone.

w = -0.5

Answer:

-0.5

Step-by-step explanation:

divide 3.4/-6.8= -0.5

Answer:

-x + 8y

Step-by-step explanation:

Answer:

9/5

Step-by-step explanation:

The common difference = 6 - 2 = 4

The age after 6 is 6 + 4 = 10 = y

The age after 14 is 14 + 4 = 18 = z

z/ y = 18/10 = 9/5

Answer:

x = - 2/3

Step-by-step explanation:

2x = y

3x - 6x = 2

- 3x = 2

- 3x ÷ - 3 = 2 ÷ - 3

x = 2 ÷ - 3

x = - 2/3

Answer: hey mate i have you answer

Step-by-step explanation: Sample Response: If the data is collected in a biased manner, the graph could be skewed. Also, if the number of observations is too small, the graph can be skewed. To ensure the data is not skewed, collect a large representative unbiased sample

Answer:

Sample Response: If the data is collected in a biased manner, the graph could be skewed. Also, if the number of observations is too small, the graph can be skewed. To ensure the data is not skewed, collect a large representative unbiased sample

Step-by-step explanation:

Answer:

it takes 6 hours 40 minutes

Answer: 6.75 hours

Step-by-step explanation:

540%80=6.75

Answer:

B

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

because im always right

Answer:

180 degrees

Step-by-step explanation:

All triangles have an interior angle sum of 180 degrees.

Answer:

i believe that the answer is C 19cm

Answer:

I think A

Step-by-step explanation:

the circle is 6 cm and the circumference(the distance between the thing) is 9 cm

Answer:

22,600

Step-by-step explanation:

Replace x any with the given values:

x/y = 9/3 = 3

The answer is 3