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3 years ago

Do the following measurements form a triangle? True or false 24°, 30° , 126°

Mathematics

1 answer:

Aleks04 [339]3 years ago

6 0

Answer:

True

Step-by-step explanation:

The sum of measures of these three angles of any triangle is invariably equal to the straight angle, also expressed as 180 °.

24+30+126=180

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What is the answer for<br> (3n + 5)(3n+6)

Rzqust [24]

Answer:

Step-by-step explanation:

I just did the math and got this answer!!

HOPE IT HELPS!!!!

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3 years ago

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Determine whether the rational root theorem provides a complete list of all roots for the following polynomial functions. f(x) =

IrinaK [193]

Answer:

f(x)=x=± $\frac{\sqrt{25} }{2}$ represents all its roots.

g(x)=x=± $\frac{\sqrt{-25} }{2}$ does not represent roots

because negative number cannot exist in under root

h(x)=± $\sqrt{\frac{25}{3} }$ represents all its roots

Step-by-step explanation:

f(x)= $4x^{2}$ -25

to find rational root we will put $4x^{2}$ -25=0

$4x^{2}$ =25

$x^{2}$ = $\frac{25}{4}$

f(x=)x=± $\sqrt{\frac{25}{4} }$

f(x)=x=± $\frac{\sqrt{25} }{2}$

g(x)= $4x^{2}$ +25

to find rational root we will put $4x^{2}$ +25=0

$4x^{2}$ =-25

$x^{2}$ = $\frac{-25}{4}$

g(x=)x=± $\sqrt{\frac{-25}{4} }$ /

h(x)= $3x^{2}$ -25

to find rational root we will put $3x^{2}$ -25=0

$3x^{2}$ =25

$x^{2}$ = $\frac{25}{3}$

h(x=)x=± $\sqrt{\frac{25}{4} }$

h(x)=± $\sqrt{\frac{25}{3} }$

6 0

3 years ago

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What 3 digits are in the units period 4,083,817

swat32

8, 1 and 7 are the digits you need ! :)

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3 years ago

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At an angle of elevation 610

Vadim26 [7]

Answer:

The height of the cliff CD is approximately 539.76 m

Step-by-step explanation:

The given parameters are;

The first angle of elevation with which the captain sees the person on the cliff = 61°

The second angle of elevation with which the captain sees the person on the cliff after moving 92 m closer to the cliff = 69°

The angle made by the adjacent supplementary angle to the second angle of elevation = 180° - 69° = 111°

∴ Whereby, the rays from the first and second angle of elevation and the distance the ship moves closer to the cliff forms an imaginary triangle, we have;

The angle in the imaginary triangle subtended by the distance the ship moves closer to the cliff = 180° - 111° - 61° = 8°

By sine rule, we have;

AB/(sin(a)) = BC/(sin(c))

Which gives;

92/(sin(8°)) = BC/(sin(61°))

BC = (sin(61°)) × 92/(sin(8°)) ≈ 578.165 m

BC ≈ 578.165 m

The height CD = BC × sin(69°)

∴ The height of the cliff CD = 578.165 m × sin(69°) ≈ 539.76 m.

The height of the cliff CD ≈ 539.76 m.

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2 years ago

Which equation represents a proportional relationship between the x and y values?

Airida [17]

Answer:

D) $y=-2x$

Step-by-step explanation:

A linear relationship is of the form $y=mx+b$ , where, $m$ is the slope and $b$ is the y-intercept (constant).

For a proportional relationship, the value of $b=0$ and thus it is of the form $y=mx$

Let us check each option and express it in the form above.

Option A:

$y=2$

This can be written as $y=0x+2$ . So, $b\ne 0$ .

Since, b \ne 0, therefore, it is not a proportional relationship.

Option B:

$y=14x+1$

Here, $b=1$ . So, $b\ne 0$ .

Since, b \ne 0, therefore, it is not a proportional relationship.

Option C:

$y=x-4$

Here, $b=-4$ . So, $b\ne 0$ .

Since, b \ne 0, therefore, it is not a proportional relationship.

Option D:

$y=-2x$

This can be rewritten as $y=-2x+0$

There is no y-intercept on this. So, $b=0$

Since, $b = 0$ , therefore, it is a proportional relationship.

Therefore, the correct option is D.

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3 years ago

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