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3 years ago

Can pls someone help me plsss I need help :(

Mathematics

1 answer:

liraira [26]3 years ago

4 0

Answer: $7,5.66,39^{\circ}$

Step-by-step explanation:

Given

$IJ=9\\\angle I=51^{\circ}$

from figure, we can write

$\Rightarrow \sin 51^{\circ}=\dfrac{HJ}{9}\\\\\Rightarrow HJ=9\sin 51^{\circ}=6.99\approx 7$

$\Rightarrow \cos 51^{\circ}=\dfrac{HI}{9}\\\Rightarrow HI=9\cos 51^{\circ}\\\Rightarrow HI=5.66$

In right angle trianle, the sum of the remaining two angles is $90^{\circ}$

$\therefore 51^{\circ}+\angle J=90^{\circ}\\\Rightarrow \angle J=90^{\circ}-51^{\circ}\\\Rightarrow \angle J=39^{\circ}$

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Calculate the speed of an airplane that moves 50 meters in one second in both cm/s and km/s

zaharov [31]

This question is simply conversions

we know there are 100 cm in a m so..
50 × 100 = 5,000 cm/s

and we know there are 1,000 m in a know so..
50 ÷ 1,000 = 50/1,000 = 1/20 km/s

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3 years ago

What are the values for the coefficients and constant term of 0 = 2 + 3x2 – 5x?

tangare [24]

Keywords:

Polynomial, variable, coefficients, constant term.

For this case, the first thing we must do is rewrite the polynomial in a standard way. For this, we reorder the polynomial coefficients.

The standard form of the polynomial is:

$ax ^ 2 + bx + c$

Where,

a, b, c: are the coefficients of the polynomial.

x: is the variable

Rewriting the polynomial we have:

$3x ^ 2-5x + 2$

Comparing with the standard form we have that the values of the coefficients are given by:

$a = 3\\b = -5\\c = 2$

Answer:

The values for the coefficients and constant term are:

$a = 3\\b = -5\\c = 2$

4 0

3 years ago

Read 2 more answers

What is 6x – 8 = 4 written as a system? y = 6x – 8 y = –4 y = 6x – 8 y = 4 y = –6x + 8 y = 4

mestny [16]

6x – 8 = 4 written as a system. Hence second option is correct

Solution:

Given, equation is 6x – 8 = 4.

We have to find the equivalent system from given options.

First let us solve given equation, 6x – 8 = 4 ⇒ 6x = 4 + 8 ⇒ 6x = 12 ⇒ x = 2

Now, let us solve one by one option ,so that when we get above solution, that is correct option.

y = 6x – 8 and y = -4 ⇒ put y = -4 in y = 6x – 8 ⇒ 6x – 8 = -4 ⇒ 6x = 8 – 4

⇒ 6x = 4 ⇒ x ≠ 2, wrong option

y = 6x – 8 and y = 4 ⇒ put y = 4 in y = 6x – 8 ⇒ 6x – 8 = 4 ⇒ 6x = 8 + 4 ⇒ 6x = 12 ⇒ x = 2, right option.

y = -6x + 8 and y = 4 ⇒ put y = 4 in y = -6x + 8 ⇒ -6x + 8 = 4 ⇒ 6x = 8 – 4 ⇒ 6x = 4 ⇒ x ≠ 2, wrong option

hence, second option is correct.

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3 years ago

Read 2 more answers

A car that travels along the highway to Denver at a steady speed. When it begins, it is 300 miles from Denver. After 3 hours, it

umka21 [38]

Answer: $y=-40x+300$

Step-by-step explanation:

This car follows a line, hence its motion can be modeled by the Line equation.

In fact, we already have two points of the line, if we call $x$ the time in hours and $y$ the traveled distance in miles:

Point 1: $(x_{1},y_{1})=(0,300)$

Since we are told the car's initial position is 300 miles in the time 0 h

Point 2: $(x_{2},y_{2})=(3,180)$

Since we are told the car's final position is 180 miles after 3h

Let's find the Slope $m$ :

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=-40$ This is the slope of the line

Now, the equation of the line is:

$y=mx+b$

We already know the slope, now we have to find the intersection point with the y-axis ( $b$ ) with any of the given points. Let's choose Point 1: $(x_{1},y_{1})=(0,300)$