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3 years ago

Dont answer tell pic is uploaded

Mathematics

2 answers:

kolezko [41]3 years ago

6 0

Square root of 16 + 20 is 6.

Gwar [14]3 years ago

5 0

Oh this is really easy.
So add 16+20 then find the square root. it equals 36 so the square root is 6
Hope that helped!

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Need help with this ASAP

Mariana [72]

Answer:

Sequence: 13, 20, 27

Rule: Tn = 7n + 6

Step-by-step explanation:

The 3 other numbers that can form an arithmetic progression is 13, 20, 27...

The nth term of an arithmetic progression is expressed as;

Tn = a + (n-1)d

a is the first term = 13

n is the number of terms

d is the common difference = 20 - 13 = 27 - 20

d = 7

Substitute

Tn = 13 + (n-1)(7)

Tn = 13 + 7n - 7

Tn = 7n+13-7

Tn = 7n + 6

This gives the required rule

5 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

2 years ago

25. A wheelchair access ramp has an angle of elevation of 16°. If the ramp

Elanso [62]

Answer:

C. 76.81

Step-by-step explanation:

We must use one of the trigonometric ratios to find the length, L, of the ramp. If we use 16 as the reference angle, the 22 in would be our opposite side and the ramp length is the adjacent.

Therefore, we must use tan, which is $\frac{opposite}{adjacent}$ :

$tan (16)=\frac{22}{L} \\\\L*(tan(16)=22)\\\\L*tan(16)=22\\$

$\frac{L*tan(16)}{tan(16)}=\frac{22}{tan(16} \\\\L=79.815=79.82 in.$

8 0

2 years ago

Does the graph represent a function?

saveliy_v [14]

Answer:

The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

K2-4K-21. How do you factor this

alexira [117]

Assuming yo mean
k²-4k-21

factor by doing
what 2 numbers multipily to get -21 and add to get -4?
-7 and 3

(k-7)(k+3) is factored

4 0

3 years ago