Solve th simultaneous equations
3x + y = 17
2x +y = 12

Answer:

The radius is 8.

Step-by-step explanation:

Because OA is a radius and AB is a tangent, Angle A is a right angle. So you can use Pythagorean theorem (shortcut Pythagorean triple)

OA^2 + 15^2 = 17^2

OA^2 + 225 = 289

OA^2 = 64

OA = 8

OA is a radius, the radius = 8

Answer:

x=7

Step-by-step explanation:

We know that in a parallelogram diagonals bisect each other

Therefore

x=7

Answer:

option d -1 is the answer

Answer:

I think C (19) might be wrong though

Answer:

2 hours and 5 minutes.

Step-by-step explanation:

2 hours is 60mins+60mins which is equal to 120mins and then the extra 5mins

Hilary studied for a total of 2 hours and 5 minutes this week.

If Hilary studied for 25 minutes each day for five days this week, we can calculate the total study time by multiplying the number of minutes studied per day (25) by the number of days (5):

25 minutes/day × 5 days = 125 minutes

To convert this to hours and minutes, we need to divide the total minutes by 60 (since there are 60 minutes in an hour) to get the number of hours and find the remainder as minutes.

125 minutes ÷ 60 = 2 hours and 5 minutes

Therefore, Hilary studied for a total of 2 hours and 5 minutes this week.

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Answer:

a = -1/6

b = 7/6

c = 1

Step-by-step explanation:

[tex]f(x)=ax^3+2x^2+bx+c\\\\f(0)=a(0)^3+2(0)^2+b(0)+c\\\\1=c[/tex]

[tex]f(1)=a(1)^3+2(1)^2+b(1)+1\\\\4=a+2+b+1\\\\4=a+b+3\\\\1=a+b\\\\1-b=a[/tex]

[tex]f(-2)=(1-b)(-2)^3+2(-2)^2+b(-2)+1\\\\8=-8+8b+8-2b+1\\\\8=6b+1\\\\7=6b\\\\\frac{7}{6}=b[/tex]

[tex]1-b=a\\\\1-\frac{7}{6}=a\\ \\-\frac{1}{6}=a[/tex]

So, the true equation would be [tex]f(x)=-\frac{1}{6}x^3+2x^2+\frac{7}{6}x+1[/tex] if you substitute the coefficients and the constant.

Answer:

  7 millicuries

Step-by-step explanation:

A period of 10 days is 2 times the half-life of 5 days.

In the first 5 days, the amount of the chemical decayed by half from 28 millicuries to 14 millicuries. In the next 5 days, it decayed by half again, from 14 millicuries to 7 millicuries.

10 days later, 7 millicuries of the chemical remains.

#a

#1

Slope:-

Equation in point slope form

Slope=-100/7

#2

Slope

Y intercept=1800

Equation

Slope=-100/8

#b

First company is painting faster

#c

Comapny B

#d

for #1

#2

Answer: -3.125

Step-by-step explanation: -1 divided by 8 = .125

The magnitude of the force per unit length between the wires is [tex]3 \times 10^{-5} N/m[/tex].

In a wire carrying a current I 2, the force that each wire feels due to the presence of the other depends on the distance between them and the magnitude of the currents.

Force per unit length = magnetic permeability * (current 1) * (current 2) / (2 π distance between the wires).

The below expression for the force per unit length.

Moreover, before using the below formula we have to change the unit centimeter into a meter. So, we just divide the centimeter by 100.

[tex]\rm \dfrac{Force}{length}=\dfrac{u_0 \times i _1 \times i_2}{2\pi d}\\\\\dfrac{Force}{length}=\dfrac{u_0 \times i _1 \times i_2}{2\pi d}\\\\Where; \ \mu_0 = 4\pi \times 10^{-7} , i_13 . \ i_2 = 3 \ d=0.06[/tex]

Substitute all the values in the formula

[tex]\rm\dfrac{Force}{length}=\dfrac{u_0 \times i _1 \times i_2}{2\pi d}\\\\Where; \ \mu_0 = 4\pi \times 10^{-7} , i_13 . \ i_2 = 3 \ d=0.06\\\\ \dfrac{Force}{length}=\dfrac{4\pi \times 10^{-7} \times 3 \times3}{2\pi \times 0.06}\\\\ \dfrac{Force}{length}= 3 \times 10^{-5} N/m[/tex]

Hence, the magnitude of the force per unit length between the wires is [tex]3 \times 10^{-5} N/m[/tex].

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Answer:

(a) = 37π/180 radians

(b) = 37°

Step-by-step explanation:

Converting km/h ⇒ m/s :

⇒ 54 km/h x 5/18

⇒ 3 x 5

⇒ 15 m/s

===============================================================

Formula to calculate the angle :

⇒ tanθ = v/r

⇒ tanθ = (15 m/s)/(20 m)

⇒ θ = tan⁻¹ (0.75)

⇒ θ = 37°

=============================================================

Converting to radians :

⇒ Radian measure = Angle measure × π/180°

⇒ Radian measure = 37° × π/180°

⇒ Radian measure = 37π/180 radians

=============================================================

Solutions :

(a) = 37π/180 radians

(b) = 37°

The new coordinates of A is (-12,8)

To dilate something in the coordinate plane, multiply each coordinate by the scale factor. This is called mapping.

For any dilation the mapping will be (x,y) → (kx,ky).

Convert the point (x, y) to (-y, x) in order to rotate 90 degrees counter clockwise.

The given point is A(-4 ,6) ,after it has been rotated the new coordinates are A(-6,-4)

After reflecting it over x axis the new coordinated will be (-6,4)

Then dilating it with a scale factor of 2

The new coordinates of A is (-12,8)

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Answer:

1/3

Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression (√2)π/(√5) is 2.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of the expression (√2)π/(√5) can be written as,

[tex]\dfrac{\sqrt2 \pi}{\sqrt5}\\\\= \sqrt{\dfrac25}\pi\\\\=\sqrt{0.4} \times \pi\\\\[/tex]

= 0.6324 × π

= 1.9869 ≈ 2

Hence, The value of the expression (√2)π/(√5) is 2.

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Answer:

It would be D). 2.0 because we know the square root of 2 over the square root of 5 is the square root of 10 over 5. Now, we can plug in pi, giving us the square root of 10 times pi over 5. Giving us 1.98 which can be rounded up to 2.0

Answer:

the solution of the equation.

Step-by-step explanation:

Answer:

1111111111111111111111111111111111111111111111111111111111111111111111111111111111111

Step-by-step explanation:

Answer:

45 POINTS & BRAINLIST -- PLEASE HELP

Convert the following functions.

A) Convert the exponential function, 12^3=x^4 y^3 z^6, to its corresponding logarithmic function.

B) Write the log form from Part A into the expanded log form. **expression must be fully expanded for full credit

Step-by-step explanation:

45 POINTS & BRAINLIST -- PLEASE HELP

Convert the following functions.

A) Convert the exponential function, 12^3=x^4 y^3 z^6, to its corresponding logarithmic function.

B) Write the log form from Part A into the expanded log form. **expression must be fully expanded for full credit

Answer:

A. 120 cm²

Step-by-step explanation:

Area of figure :

Answer:

radius=2cm

because area =πr²

π2²=4π

hope this helps

please give me brainliest

[tex] \huge \fbox \orange{♧Answer♧}[/tex]

[tex] \mathcal\blue{METHOD\:1} [/tex]

[tex] \mathsf \purple{ - ( \frac{y}{x} )}[/tex]

[tex] \mathsf \purple{ - ( \frac{ - 4}{5})} [/tex]

[tex] \mathsf \purple{( \frac{4}{5} )}[/tex]

[tex] \mathcal\blue{METHOD\:2} [/tex]

[tex] \mathsf\purple{m\:=\:(Y2\:-\:Y1)\:÷\:(X2\:-X1)} [/tex]

[tex] \mathsf\purple{m\:=\:(-4\:-0)\:÷\:(0\:-\:5)} [/tex]

[tex] \mathsf\purple{( \frac{4}{5})} [/tex]

[tex] \mathcal\blue{METHOD\:3} [/tex]

[tex] \mathsf\purple{m\:=\:rise\:÷\:run} [/tex]

[tex] \mathsf\purple{m\:=\:( \frac{4}{5})} [/tex]

[tex] \mathbb\pink{NOTE:} [/tex]

Answer:

Step-by-step explanation:

The value of the given trigonometric function is 1.1547.

The main trigonometric ratios are: sinβ, cosβ and tg β. From these ratios, you can calculate other trigonometric ratios such as sec β, cossec β and cotg β.

These ratios help you find the angles and the sides of a rectangle triangle.

The question asks [tex]\frac{2 *sin(30)}{cos (30}[/tex], for the angle 30° you have sin=1/2 and cos= [tex]\frac{\sqrt{3} }{2}[/tex].

Thus,

[tex]\frac{2 *sin(30)}{cos (30}=\frac{2 *\frac{1}{2} }{\frac{\sqrt{3} }{2} }=\frac{1}{\frac{\sqrt{3} }{2} }= \frac{2}{\sqrt{3} } =\frac{2\sqrt{3} }{3}=1.1547[/tex]

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The surface area of the box, in square feet, that Zoe decorates is 430.35 square feet

To determine the surface area from the net of the box, we simply calculate the area of each shape.

From the given figure, we have the following shapes and dimensions:

The area is then calculated using:

Area = Areas of the rectangle + Area of the triangle

So, we have:

Area = 15 * 12 + 13.89 * 15 + 0.5 * 12 * 7

Evaluate the sum of products

Area = 430.35

Hence, the surface area of the box, in square feet, that Zoe decorates is 430.35 square feet

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Answer:577.35 square feet

Step-by-step explanation:

‍♀️

Answer: Axel's statement would be incorrect. (If this is for Edgenulty, the answer is C)

Step-by-step explanation: No, because the relation does not pass the vertical line test for every possible input.

Answer:

B

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ FES is an exterior angle of the triangle , then

57° + ∠ F = 142° ( subtract 57° from both sides )

∠ F = 85°

Answer: Option B: 85°

Step-by-step explanation:

Finding E: 142 + 180 + E = 360

360 - 142 - 180 = 32

E = 32

Finding F: 57 + 32 + F = 180

180 - 57 - 32 = 85

F = 85

Answer:

0.940

Step-by-step explanation:

100 = 36 x pi x r^2

now divide both sides by 36pi

r^2 = 0.88419412...

then square root both sides

r = 0.94031597...

Answer:

Step-by-step explanation:

Answer:

A compound event

Step-by-step explanation:

compound event is more complex than a simple event, as it involves the probability of more than one outcome. Another way to view compound events is as a combination of two or more simple events

Answer:

20

Step-by-step explanation:

5x4=20 5 is one quarter of 20

Answer:

[tex] \frac{1}{4} \times 20 = 5 \\ [/tex]

Answer:

1. x= -1 & x= -13

2. x= -3 & x= -4

3. x= -3 & x= -5

4. x= -6 & x= -2

5. x= -5 & x= -2

8. x= -7 & x= -3

9. x= -8 & x= -2

10. x= -3 & x= -3

11. x= -5 & x= -4

12. x= -2 & x= -2

13. x= -6 & x= -7

14. x= -6 & x= -3

15. x= -10 & x= -7

Answer:

Step-by-step explanation:

(9-5+X)+ (39+211)

whats the Solution?

(9 - 5 + x) +  (39 + 211) =

4 + x + 39 + 211 =

254 + x

Answer:

254 + x

Step-by-step explanation:

(9 - 5 + x) +  (39 + 211) =

4 + x + 39 + 211 =

254 + x

Hope this helps

:)