SIMPLIFY (√2 + √5) ²

Answer:

the square of 8.3 is 68.89

Step-by-step explanation:

Answer:

Another way to prove triangles are similar is by SSS, side-side-side. If the measures of corresponding sides are known, then their proportionality can be calculated. If all three pairs are in proportion, then the triangles are similar.

Step-by-step explanation:

Answer:

7(88)=616

Step-by-step explanation:

Answer:

Cost of each bag of chip = $1.5

Step-by-step explanation:

Given:

1 bag chips and 1 burger cost = $4

2 bag chips and 3 burger cost = $10.50

Find:

Cost of each bag of chips

Computation:

Cost of each bag of chip = c

Cost of each bag of burger = b

So,

c + b = 4 ......  eq1

2c + 3b = 10.50 ..... eq2

Eq1 x 2

2c + 2b = 8 ....... eq3

From eq2 - eq3

b = 2.5

From eq1

c + b = 4

c + 2.5 = 4

c = 1.5

Cost of each bag of chip = $1.5

Given:

Ty’s house is located ( 7,8) and the library is located ( 7,-6).

Each unit on the coordinate plane represents 1 block.

To find:

The number of blocks from Ty’s house to the library.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We need to find the distance between the two points ( 7,8) and ( 7,-6).

Using the distance formula, we get

[tex]D=\sqrt{(7-7)^2+(-6-8)^2}[/tex]

[tex]D=\sqrt{(0)^2+(-14)^2}[/tex]

[tex]D=\sqrt{196}[/tex]

[tex]D=14[/tex]

The distance between the two points ( 7,8) and ( 7,-6) is 14 units.

We know that, each unit on the coordinate plane represents 1 block.

Therefore, there are 14 blocks from Ty’s house to the library.

Answer: 10

Step-by-step explanation:

My answer is correct because, if x=5 then were just multiplying 2 times 5 since 5 is not on the top like [tex]2^{5}[/tex] because if it was that means we have to multiply 2 by itself 5 times. But since its not a exponent you just multiply 2 times 5. And 2 x 5= 10.

Hope This Helps!

Answer:

10

Step-by-step explanation:

2 where x is plug in 5

so 2(5)= 10

the answer would be 10

Answer:

$15

Step-by-step explanation:

If one pound of beef costs 5 dollars then three would be 3 x 5 which is 15.

Answer:

answer is 16 cm =8 cm

8 cm = 4 cm

32 cm = 16 cm

4 cm = 2 cm

Answer:

The top right and the middle one.

Step-by-step explanation:

Answer:

B and C i think

Step-by-step explanation:

Answer:

3, 2, 1, 0

Step-by-step explanation:

f(-1) = |-1 - 2|  =  3

f(0) = |0 - (-2)|  =  2

f(1) = |1 - 2|  =  1

f(2) = |2 - 2|  =  0

Answer:

(- 2, - 1 )

Step-by-step explanation:

Given the 2 equations

y = 2x + 3 → (1)

y = 3x + 5 → (2)

Substitute y = 3x + 5 into (1)

3x + 5 = 2x + 3 ( subtract 2x from both sides )

x + 5 = 3 ( subtract 5 from both sides )

x = - 2

Substitute x = - 2 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 2(- 2) + 3 = - 4 + 3 = - 1

solution is (- 2, - 1 )

Answer:

4.13

Step-by-step explanation:

good luck

Answer:

5

Step-by-step explanation:

Since a square has all equal sides, you would simply take the square root of 25 to get your answer.

Answer:

8/5 oz

Step-by-step explanation:

The problem is saying that there are 8 ounces of cheese and 5 bowls of spaghetti you need to divide the cheese over. As you need an equal amount of cheese in each bowl, you have to divide 8 ounces by the number of bowls, which is 5. Thus, you would do 8 divided by 5, which we just say is 8/5. Therefore, your answer is 8/5 ounces of cheese (or simplified to 1 3/5).

Answer:

x > -2

Step-by-step explanation:

-3x + 2 < 8

our goal is to isolate the x

subtract two from both sides

-3x < 8 - 2

- 3x < 6

divide both sides by -3

flip the sign because we divided by a negative number

x > -2

Answer:

Y=32

Step-by-step explanation:

Answer:

Diameter = 9

Step-by-step explanation:

Let the diameter be represented as x.

Based on the secant-tangent theorem, the following equation representing the relationship between the segments would be:

(16 + x)(16) = 20²

256 + 16x = 400

Subtract 256 from each side

16x = 400 - 256

16x = 144

Divide both sides by 16

x = 144/16

x = 9

Diameter = 9

Answer:

179

Step-by-step explanation: First you would wanna add 70, to get to 100.

Then, add 9 to get to 314. add 70+9, that is your final answer.

TTQA: Suzanne needs to add 79 more cups of flour, to get to the anount called for in the recipe.

Answer:

[tex]\sqrt{3} = q[/tex]

Step-by-step explanation:

Sin(45) = q/[tex]\sqrt{6}[/tex]

Sin(45) * [tex]\sqrt{6}[/tex] = q

[tex]\sqrt{3} = q[/tex]

Hope this helps!

Answer:

Angle between vectors u and v: 26.56 degrees

Step-by-step explanation:

I just recently did this question, so here's my response and hopefully that helps you:

Vector u is <-3,-4> and vector v is <-2,-1>. To find the angle between the two vectors, you first need to find their dot product. This means that u*v = <-3,-4> * <-2,-1> = (-3)(-2) + (-4)(-1) = 6 + 4 = 10. Second, you find the product of each of the vectors' magnitudes. The magnitude for vector u is ||u|| = sqrt((-3)^2 + (-4)^2) = sqrt(9+16) = sqrt(25) = 5. The magnitude for vector v is ||v|| = sqrt((-2)^2 + (-1)^2) = sqrt(4+1) = sqrt(5). The product of the magnitudes would thus be ||u||||v|| = 5sqrt(5). Third, divide the dot product by the product of the magnitudes which would be u*v/||u||||v|| = 10/5sqrt(5) = 2sqrt(5)/5. Lastly, you take the arccosine of the result which would be theta=cos^-1(2sqrt(5)/5) = 26.56 degrees, which is the angle between vectors u and v.

The explanation for determining the angle between the two vectors and find the angle in degrees should be explained below.

Since

vector v is from (0,0) to ( -2,-1)

So,

[tex]\bar{v}=-2i-j[/tex]

Here, vector u is from (0,0) to (-3,-4)

So,

[tex]\bar{u}=-3i-j4[/tex]

Now here we used dot product concept

Now

[tex]\bar{u}.\bar{v}=|u|.|v|cos\theta\\ \bar{u}.\bar{v}=(-3i-4j).(-2i-j)=6+4=10\\ |u|=\sqrt{9+16}=5\\ |v|=\sqrt{4+1}=\sqrt{5}\\ cos\theta=10/(5*\sqrt5)=2/\sqrt5\\ \theta=cos^{-1}(2/\sqrt5)= 26.56^o[/tex]

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