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Rasek [7]
4 years ago
8

HURRY I NEED HELP!!! Solve triangle JKL round to the answer to the nearest tenth

Mathematics
1 answer:
creativ13 [48]4 years ago
3 0

Answer:

It's Option A.

Step-by-step explanation:

Using the Cosine Rule:

cos < K =  (3.9^2 - 1.9^2 - 2.8^2) / (-2 *1.9*2.8)

=  3.76 / -10.64

= - 0.3534.

m < K = 110.7 degrees.

Using the Sine Rule:

3.9 / sin 110.7 = 2.8 / sin <J

sin J =   2.8 sin 110.7/ 3.9 = 0.6716

m < J = 42.2 degrees

So m < L = 180 - (110.7 + 42.2)

= 180 - 152.9

= 27.1 degrees

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Y_Kistochka [10]

Answer:

6.46

Step-by-step explanation:

h(t) = (1/2)att^{2} + v0t + h0

Origin is at surface of water (h = 0), up is positive.

a = -g = -9.8 m/s^{2}

v0 = 25 m/s

h0 = 50 m

h(t) = -4.9t2 + 25t + 50

Find t when

7 = -4.9t^{2} + 25t + 50

4.9t^{2} - 25t - 43 = 0

t = [1/(2*4.9)] [25 ±√(25^{2} + 4*4.9*43)]

t = (0.102)(25 ± 38.312)

t > 0 ⇒ use only the positive square root

t = (0.102)(25 + 38.312) ≅ 6.46 s

It is 7m above the water at about 6.46 s

7 0
3 years ago
One factor of the function f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5) Describe how to find the x-intercepts and the y-intercept o
pickupchik [31]

Answer:

x-intercept(s):  (−1.9900717,  0)

y-intercept(s): (0, 52.5)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x. To find the y-intercept, substitute in  0 for x and solve for y .

f(x)=y

(x)=x

<u>x-intercept</u>

To find the x-intercept(s), substitute in  0  for  y  and solve for  x .

f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5

=\bold{0}=x^3-8x^2+17x-10.5\left(x-5\right)

=0\cdot \:10=x^3\cdot \:10-8x^2\cdot \:10+17x\cdot \:10-10.5\left(x-5\right)\cdot \:10

=0=10x^3-80x^2+170x-105\left(x-5\right)

=0=10x^3-80x^2+65x+525

=10x^3-80x^2+65x+525=0

=10x^2-99.90071\dots x+263.80959\dots \approx \:0

\bold{x\approx \:-1.99007\dots}

<u>y-intercept</u>

f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5

=y=\bold{0}^3-8(\bold{0})^2+17(\bold{0})-10.5\left(\bold{0}-5\right)

=y=0-8\cdot \:0+17\left(0\right)-10.5\left(0-5\right)

=y=0-8\cdot \:0+17\cdot \:0-10.5\left(0-5\right)

=y=0-0+0-\left(-52.5\right)

=0-0+0+52.5

\bold{y=52.5}

8 0
2 years ago
What are the last 3 shapes in 3D
katovenus [111]

Answer:

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Step-by-step explanation:

second one is square bas pyramid

third one is triangle base pyramid

8 0
3 years ago
Read 2 more answers
A chef is making chicken noodle soup. The recipe calls for 1/4 cup of celery for each bowl of soup. If the chef has 9 1/2 cups o
fomenos

Answer:

Step-by-step explanation:9 1/2 cups / (1/4 cups/bowl) = 19/2 cups x 4 bowls/cup = 76/2 bowls = 38 bowls. QED.

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stealth61 [152]

Answer:  (2,-1).

Step-by-step explanation:

The given system of equations is

3x+2y=4

-x+3y=-5

For 3x+2y=4, table of values is

x :   0        1         2

y :   2      0.5      -1

For -x+3y=-5, table of values is

x :   -1        2         5

y :   -2       -1         0

Plot these points on a coordinate plane and connect them be straight lines as shown below.

Form the graph it is clear that the lines intersect each other at (2,-1).

Therefore, the solution of given system of equations is (2,-1).

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