Calculate the surface area of the triangular prism.

Answer:

17 is added to both numerator and denominator.

Step-by-step explanation:

Given:

Fraction = 1/10

New fraction = 2/3

Find:

Number added to both numerator and denominator.

Computation:

Assume,

a is added to both numerator and denominator.

[tex]\frac{1+a}{10+a}=\frac{2}{3}\\\\3 + 3a=20+2a\\\\3a-2a=20-3\\\\a=17[/tex]

Therefore, 17 is added to both numerator and denominator.

Answer: C (-2,1)

Step-by-step explanation:

Answer:

324

Step-by-step explanation:

A number is a perfect square when there are two factors that are identical to one another. 324 is a perfect square since its two identical factors are 18 and 18.

Answer:

324

Step-by-step explanation:

18*18. Hope that helped, vote, thanks, brainliest ;)

Have a great day!

Answer:

5.(345)=1,780/333

Step-by-step explanation:

5.(345)=(5,345-5)/999=5,340/999=1,780/333

The fraction corresponds to given decimal is 1780/333.

What is fraction form?

A fraction is used to show how much of something is left over. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction.

Let x=5.345

The repeating number is 345

Multiply both sides by 1000

1000x=5345.345

Subtract x=5.345 from the obtained equation,

999x=5340

Solve for x,

x=5340/999

x=1780/333

Therefore, the fraction corresponds to given decimal is 1780/333.

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Answer:

Step-by-step explanation:

Circumference pf base of cone = 24 inches

2πr = 24

[tex]r=\frac{24}{2\pi}\\\\r=\frac{12}{\pi}[/tex]

Lateral surface area = πrl

[tex]=\pi *\frac{12}{\pi }*20\\\\=12*20\\[/tex]

= 240 square inches

Answer:

240 square inches

Step-by-step explanation:

Answer:

20 %

Step-by-step explanation:

$10/100%    $2/?

10/ what to get 2 so you do 10/5=2 so 100/5= 20.

Answer:

11 cm

Step-by-step explanation:

The strip of paper is 66 cm and it is folded into 6 different parts. It is used to form a model of a honeycomb cell.

To find the length of one side of the model, all we have to do is divide 66 cm by 6. That is:

66 / 6 = 11 cm

The length of one side of the model is 11 cm.

Answer:

The answer is sandy

Step-by-step explanation:

18/3= 6 why? because each glass of lemonade he drink he puts 3 table spoons, and a table spoon is the big spoon

hope this helped <3

Answer:

C

Step-by-step explanation:

Answer:

The answer is 4.94 (C (If this is wrong I am sorry but I'm pretty sure it is right)

The quadratic has one root with multiplicity 2 if the discriminant is 0, which is

[tex](2m+4)^2-4(4-m)(8m+1)[/tex]

(That is, for a quadratic [tex]ax^2+bx+c[/tex], the discriminant is [tex]b^2-4ac[/tex].)

Set the discriminant equal to 0 and solve for [tex]m[/tex]:

[tex](2m+4)^2-4(4-m)(8m+1)=0[/tex]

[tex]4m^2+16m+16+32m^2-124m-16=0[/tex]

[tex]36m^2-108=0[/tex]

[tex]36m(m-3)=0[/tex]

[tex]\implies m=0\text{ or }m=3[/tex]

Answer:

A

Step-by-step explanation:

The rule for negative exponents is:

[tex]a^{-n} = \frac{1}{a^n}[/tex]

We have:

[tex]5^{-2}[/tex]

So, we can create a fraction with 1 as the numerator, and our exponent raised to a positive number as the denominator, and rewrite it as:

[tex]\frac{1}{5^2}[/tex]

Evaluate the exponent in the denominator

[tex]\frac{1}{5*5}\\\frac{1}{25}[/tex]

Therefore, choice A, 1/25 is correct.

Answer:

The initial amount of money Tyra has is $90

Step-by-step explanation:

Let the initial money Tyra has be equal to y

She spent ⁴/₅ of her initial money on gas for her car = ⁴/₅ of y

She spent ¹/₂ of the remainder on sandwiches;

the remainder = 1 -  ⁴/₅  = ¹/₅

¹/₂ of the remainder = ¹/₂ x ¹/₅ = ¹/₁₀

Thus, she spent ¹/₁₀ of her money on sandwiches = ¹/₁₀ of y

Amount she spent on sandwiches = $9 = ¹/₁₀ of y

[tex]\frac{y}{10} = \$ 9\\\\y = \$ 90[/tex]

Therefore, the initial amount of moneyTyra has is $90

Answer:

x = -2.67

Step-by-step explanation:

6.8x + 9.3 = -9.4 + 3.4(-3x)

6.8x + 10.2x = -9.4 - 9.3

17x = -18.7

x = -2.67

Answer:

x=6   x=3

Step-by-step explanation:

x^2-9x+18=0

Factor

What 2 numbers multiply to 18 and add to -9

-6*-3 = 18

-6-3 = -9

(x-6) (x-3) =0

Using the zero product property

x-6 =0  x-3 =0

x=6   x=3

Answer:use a calculator

Step-by-step explanation:

The unit rate for a proportional relationship is y = 6x.

The proportional relationship, can be find by the formula,

y = kx.........................1

Where,

X- position at X- cordinate= 1

Y - position at Y- coordinate = 6

k - constant of proportionality

put the values in the equation,

6 = k1

k = 6

Put the value of k into equation 1,

y = 6x

Therefore, the unit rate for a proportional relationship is y = 6x.

To learn more refer to the link:

https://brainly.com/question/12917806

Answer:

1. 6 6/10

2. 7 6/10

Step-by-step explanation:

Answer:

1. 8 6/10

2. 9 6/10

Step-by-step explanation:

Answer: (2,4) They bought 2 sodas and 4 coffees.

Step-by-step explanation:

A. c + s=6  where c is the number of coffee and s is the number of sodas

B. 1.50c + 1.20s =8.40

C. -1.50 (c    +  s) =6(-1.50)   we will multiply the first equation by -1.50 to eliminate the c

 New equation;  -1.50 - 1.50s = -9         -0.3s/-0.3=-0.6/-0.3  s=2  

                            -150 +  1.20s = 8.40          

So we know they bought 2 sodas.   so we will plot 2 into the equation.

1.50c  + 1.20(2)=8.40   c= 4  

Answer:

The sum of all the angles of any triangle is 180°

So, 180 - (53 + 48) = 180 - 101 = 79

<SRT = 79°

Answer:

B

Step-by-step explanation:

i took the unit test <3

Answer:

B represents area of the right triangle

Step-by-step explanation:

Given;

Area of a triangle is A = 0.5bh

where;

b is the base of the triangle

h is the height of the triangle

Given, formula for the volume of a prism is V = Bh

For a right triangle prism, the formula for the volume is, V = Bh

Where;

B is the area of the right triangle

h is the height of the prism

Therefore, B represents area of the right triangle

Hello!

[tex]\boxed{ \bf w~=~4}[/tex]

________________________________________________

7(w + 9) = 91

First, we must multiply everything in the brackets by 7.

= 7(w) + 7(9) = 91

= 7w + 63 = 91

Now, we must solve for w. To do this, we will need to isolate it by perfoming the opposite operation on 63. Since it is +63, we'll need to subtract it from both sides of the equation.

= 7w + 63 = 91

         - 63   - 63

7w = 28

Since w is being multiplied, we'll have to perform the opposite operation (which is division).

[tex]\frac{7w}{7} = \frac{28}{7}[/tex]

w = 4

The right answer is 4.

look at the attached picture

Hope it will be helpful to you..

Answer: So, an Engineer will use a topography while working to locate the elevation for a given region. They provide the numerical value of an elevation. So from the list of options the closest to it is to determine the best location for a new road.

I hope this is helpful.

Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

-4 x 3/2 = -12/2; which equals -6

so -6x.

-4 x -1/2 = 4/2; which equals 2

This means that:

-6x + 2 = 15; so 'D' is the answer

Answer:

D

Step-by-step explanation:

The distributive property states that a(b+c)=ab+ac. In this problem -4 is a, 3/2x is b, and -1/2 is c. -4(3/2) is 6, and -4(-1/2) is 2. So we have -6x+2=-15.

Answer:

Integer; - 12

Step-by-step explanation:

If we are considering a situation were there is a drop in temperature, this integer representation would contain a negative;

At the same time the temperature drops by 12 degrees ( ° ) such that this integer is;

Answer; - 12

Multiplying a negative number by a negative number will give you a positive product.

When multiplying two negative integers, it comes out as positive.

For example, we are given the equation -4 * -4.

Using the rule [ -(-a) = a ], the answer for the equation is 16.

Best of Luck!

Answer:

x = 26.45

Step-by-step explanation:

Cos theta = adjacent side / hypotenuse

cos 50 = 17 /x

Switch the x and the cos 50

x = 17 / cos 50

x =26.44730506

Rounding to 2 decimal places

x = 26.45

Answer:

0.9%

Step-by-step explanation:

To find the percentage increase, you can use the following formula:

Percentage change= ((Final price-Initial price)/Initial price)*100

Initial price= $9.53

Final price= $9.62

Variation= ((9.62-9.53)/9.53)*100

Variation= 0.9%

According to this, the percentage increase is 0.9%.

Answer:

Angle BEA

Step-by-step explanation:

They share the same straight line and their degrees add to 180

The vector v (-6, 6, -5) points in the direction of itself, so we start there.

We can capture all points on the line through the origin and the point (-6, 6, -5) by scaling v by an arbitrary real number t.

The line through point P and pointing in the same direction as v is parallel to the other line that passes through the origin. Then the line we want can be obtained by translating the line through the origin by a vector p that points to (-4, 5, 2), so the vector equation for this line is

r (t ) = p + t v

r (t ) = (-4, 5, 2) + t (-6, 6, -5)

r (t ) = (-4 - 6t, 5 + 6t, 2 - 5t )

To get the parametric equations, simply take out the components:

x (t ) = -4 - 6t

y (t ) = 5 + 6t

z (t ) = 2 - 5t