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3 years ago

PLZZZ HELPP ITSS A EXAMMM

Mathematics

1 answer:

Brums [2.3K]3 years ago

5 0

Answer:

If i did the math correctly it should be 199.

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What is the value of u?

Arturiano [62]

Answer:

W/m²K by-step explanation:

8 0

3 years ago

4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

$\mathbf{y = a(x - h)^2 + k}$

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0

3 years ago

One pretzel has 20 calories. Write an algebraic expression for the total number of calories in n pretzels.

vredina [299]

Answer:

20n

Step-by-step explanation:

One pretzel has 20 calories. Write an algebraic expression for the total number of calories in n pretzels.

1 pretzel = 20 calories

n pretzel = x

Cross Multiply

x × 1 pretzel = n pretzel × 20 calories

x = n pretzel × 20 calories/1 pretzel

x = 20 n

Therefore, an algebraic expression for the total number of calories in n pretzels = 20n

4 0

3 years ago

What is ? <br> algebra 2

Alexxx [7]

(?) = (x - 3)(x + 3)

Step-by-step explanation:

[Attached]

4 0

3 years ago

In triangle NOP p equals 600 inches angle P equals 96° and angle N equals 64° what is the area of triangle NOP to the nearest 10

DochEvi [55]

9514 1404 393

Answer:

55,637.8 square inches

Step-by-step explanation:

We can find side n using the Law of Sines:

n/sin(N) = p/sin(P)

n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)

n ≈ 542.246913 . . . . inches

The angle O is ...

O = 180° -N -P = 180° -64° -96° = 20°

Then the area is ...

A = 1/2·np·sin(O)

A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²

The area of ∆NOP is about 55,637.8 in².

7 0

3 years ago