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2 years ago

If there are 48 boys and 36 girls in a room, fill out all of the possible ratios of boys to

Mathematics

1 answer:

alexandr402 [8]2 years ago

6 0

Answer:

The ratio is 4:3

Step-by-step explanation:

All the whole number possible ratios

48:36

24:18

12:9

4:3

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Sean determines that the triangle shown in the diagram has angle measures of 40°, 40°, and 100°. Is Sean correct?

kotykmax [81]

The bottom left angle is 180 -80=(100)

So the remaining 2 angles are equal 80
As all angles in a triangle are equal to 180

X+5 + x - 5 =80
Simplify
2x=80
X=40

Soo one of the angles are 40-5 which is (35)
And the other is 40+5 which is (45)
So sean is not correct
~sorry sean teehee

6 0

3 years ago

Read 2 more answers

What is the result of substituting for y in the bottom equation y=x+3 y=x^2+2x-4

8_murik_8 [283]

The solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

Solution:

Given that,

$y = x + 3 ------- eqn 1\\\\y = x^2 + 2x - 4 ----- eqn 2$

We have to substitute eqn 1 in eqn 2

$x + 3 = x^2 + 2x - 4$

$\mathrm{Switch\:sides}\\\\x^2+2x-4=x+3\\\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\\\x^2+2x-4-3=x+3-3\\\\\mathrm{Simplify}\\\\x^2+2x-7=x\\\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\\\x^2+2x-7-x=x-x\\\\\mathrm{Simplify}\\\\x^2+x-7=0$

$\mathrm{Solve\:with\:the\:quadratic\:formula}\\\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=1,\:c=-7\\\\x =\frac{-1\pm \sqrt{1^2-4\cdot \:1\left(-7\right)}}{2\cdot \:1}$

$x = \frac{-1 \pm \sqrt{ 1 + 28}}{2}\\\\x = \frac{ -1 \pm \sqrt{29}}{2}$

$x = \frac{ -1 \pm 5.385 }{2}\\\\We\ have\ two\ solutions\\\\x = \frac{ -1 + 5.385 }{2}\\\\x = 2.1925$

$Also\\\\x = \frac{ -1 - 5.385 }{2}\\\\x = -3.1925$

Substitute x = 2.1925 in eqn 1

y = 2.1925 + 3

y = 5.1925

Substitute x = -3.1925 in eqn 1

y = -3.1925 + 3

y = -0.1925

Thus the solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

6 0

3 years ago

Help find the value of x

Masteriza [31]

Answer: i believe

that x does not have a value

Step-by-step explanation:"variable" or sometimes an "unknown"

8 0

2 years ago

Find the y -intercept of the line with equation y=4x+6

solmaris [256]

Answer: The y-intercept of this equation is 6.

Explanation: When doing slope intercept form, the formula is y = mx + b. "M" is slope, and "B" is y-intercept. In this equation, 4 is the slope and 6 is the y-intercept.

8 0

2 years ago

Please help!!!!!!!!!!!!!!

Aloiza [94]

Answer:

11.4 feet

Step-by-step explanation:

Using the right triangle formed by the tent pole, the ground and the guy rope, where the guy rope (g) is the hypotenuse.

Applying Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

g² = 9² + 7² = 81 + 49 = 130 ( take the square root of both sides )

g = $\sqrt{130}$ ≈ 11.4 feet

7 0

2 years ago