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3 years ago

It is possible to measure the lensth

Mathematics

1 answer:

ollegr [7]3 years ago

5 0

You cannot measure the length of a ray of a pair of rays but you can measure a line segment

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What is 0.418 in word form

liberstina [14]

Four hundred eighteen thousandths.......................

8 0

4 years ago

Read 2 more answers

Are the ratios 14:18 and 7:9 equivalent

Pepsi [2]

Answer:

Yes

Step-by-step explanation:

14/18 equals 7/9

Dividing by two on the first ratio makes:

7/9 equals 7/9

4 0

3 years ago

Read 2 more answers

Please help!! Thank youu

NARA [144]

Answer:

Your answer is C

Step-by-step explanation:

Supplementary angles are angles that come out to 180 degrees when added.

90+90=180

6 0

4 years ago

F(1)=7, F(n)= -4* f(n-1)+15 Find the first four terms

Virty [35]

First four terms are 7, -13, 67, -253

Solution:

Given that,

$f(1) = 7$

The formula to find nth term is given as:

$f(n) = -4 \times f(n-1) + 15$

We can find the first four terms by substituting n = 2, 3, 4

First term:

f(1) = 7

Second term:

Substitute n = 2

$f(2) = -4 \times f(2-1) + 15\\\\f(2) = -4 \times f(1) + 15\\\\Substitute\ f(1) = 7\\\\f(2) = -4 \times 7 + 15\\\\Simplify\\\\f(2) = -28 + 15\\\\f(2) = -13$

Third term:

Substitute n = 3

$f(3) = -4 \times f(3-1) + 15\\\\f(3) = -4 \times f(2) + 15\\\\Substitute\ f(2) = -13\\\\f(3) = -4 \times -13 + 15\\\\Simplify\\\\f(3) = 52+15\\\\f(3) = 67$

Fourth term:

Substitute n = 4

$f(4) = -4 \times f(4-1) + 15\\\\f(4) = -4 \times f(3) + 15\\\\Substitute\ f(3) = 67\\\\f(4) = -4 \times 67 + 15\\\\Simplify\\\\f(4) = -268+15\\\\f(4) = -253$

Thus first four terms are 7, -13, 67, -253

7 0

3 years ago

Please help me solve this short problem I’m really struggling

bearhunter [10]

Answer:

Step-by-step explanation:

In the standard form of a quadratic,

$h(x)=-x^2+v_0x+h_0$ ,

that last term, the h0, is the initial height off the ground that the object is. That means that for the first question, the irrigation system is initially 9.5 feet off the ground.

In order to answer the next question, we need to find the vertex of the parabola, because this is where the max height will occur and at how many feet away from the system. The max height is the k of the vertex and the horizontal distance away is the h of the vertex: (h, k). Thankfully, we have simple formulas to find those:

$h=-\frac{b}{2a}$ and $k=c-\frac{b^2}{4a}$ where a, b, and c come from the coefficients in the equation. For us, a = -1, b = 10, and c = 9.5. Finding h first:

$h=-\frac{10}{2(-1)}=\frac{-10}{-2}=5$

and now k:

$k=9.5-(\frac{10^2}{4(-1)})=9.5-(\frac{100}{-4} )=9.5-(-25)=9.5+25=34.5$

Summing it up, the vertex is at (5, 34.5), The interpretation of that is that "The spray reaches a max height of 34.5 feet at a horizontal distance of 5 feet away from the sprinkler head."

Next we are asked how far away from the sprinkler head the water hits the ground. To do this we factor the expression to find the zeros. The zeros tell us where the water will hit the ground after it reaches its max height and then falls back down to earth.

I used my calculator to factor this for me to get that the water will hit the ground 10.87 feet away from the sprinkler head.

7 0

3 years ago