All categories

2 years ago

Can somebody help me on this?

Mathematics

1 answer:

irga5000 [103]2 years ago

4 0

Answer:

x=28

Step-by-step explanation:

From the diagram we know that the angle m<3 = m<4 and the angle m<1 = m<2. Also we know that the sum of the four angles must be equal to 360.

Summarizing:

1. m<3 = m<4

2. m<1 = m<2

3. m<1 + m<2 + m<3 + m<4 = 360

Substituting 1 and 2 in equation three we have:

4. 2m<2 + 2m<3 = 360.

Now, we know that m<3 = 3x + 16 and m<2 = x + 84. Substituting in equation 4:

2 ( x + 84) + 2 ( 3x + 16) = 360

Solving for x:

2x + 168 + 6x + 32 = 360

8x = 224

x=28

You might be interested in

Priya has a recipe for banana bread she uses 7 1/2

natali 33 [55]

This is an incomplete question.

5 0

3 years ago

Read 2 more answers

good morning fellow brainsters please help me i’m tired and i just drank a four loko... can’t think. will give 15 points

borishaifa [10]

Answer:

7. $x=3$

8. l=11cm and w=7 cm

9. $x-5\ge12$

10. $\frac{x}{3}\le15$

Step-by-step explanation:

Question 7.

The given expression is:

$12-3(2x+1)=7x-3(7+x)$

Expand the parenthesis using the distributive property:

$12-6x-3=7x-21-3x$

Group similar terms:

$-6x-7x+3x=-21+3-12$

Simplify

$-10x=-30$

Divide both sides by -10

$x=3$

Question 8:

Let the width of the rectangle be; $w$

The length of the rectangle is $l=w+4$

The perimeter is given as: $P=2(l+w)$

Given that the perimeter P=36, then:

$36=2[(w+4)+w)]$

$\implies 36=2(2w+4)$

Divide both sides by 2:

$\implies 18=2w+4$

Subtract 4 from both sides:

$\implies 18-4=2w$

$\implies 14=2w$

$\implies w=7$

The dimensions of the rectangle is: w=7 cm and l=7+4=11cm

Question 9

Let the number be x.

"5 fewer than the number" is written as $x-5$

"5 fewer than a number is at least 12" becomes

$x-5\ge12$

Question 10:

Let the number be x.

The quotient of a number and 3 is written as:

$\frac{x}{3}$

The quotient of a number and 3 is no more than 15 is written as;

$\frac{x}{3}\le15$

4 0

3 years ago

One more question, sorry can someone please help?

CaHeK987 [17]

Answer:B

Step-by-step explanation:

Honestly when I did the math I got closest to b so I think it's B hope his helps

8 0

2 years ago

What’s the vertex form of F(x)=x^2+2x-3

kupik [55]

Answer:

$\large\boxed{f(x)=(x+1)^2-4}$

Step-by-step explanation:

$\text{The vertex form of a quadratic equation}\ f(x)=ax^2+bx+c:\\\\f(x)=a(x-h)^2+k\\\\(h,\ k)-\text{vertex}\\=====================================$

$\bold{METHOD\ 1:}\\\\\text{convert to the perfect square}\ (a+b)^2=a^2+2ab+b^2\qquad(*)\\\\f(x)=x^2+2x-3=\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-3\\\\f(x)=(x+1)^2-4\\==============================$

$\bold{METHOD\ 2:}\\\\\text{Use the formulas:}\ h=\dfrac{-b}{2a},\ k=f(k)\\\\f(x)=x^2+2x-3\to a=1,\ b=2,\ c=-3\\\\h=\dfrac{-2}{2(1)}=\dfrac{-2}{2}=-1\\\\k=f(-1)=(-1)^2+2(-1)-3=1-2-3=-4\\\\f(x)=(x-(-1))^2-4=(x+1)^2-4$

4 0

3 years ago

A three inch diameter pulley on an electric motor that runs at 1800

Bezzdna [24]

Answer:

a) 3 inch pulley: 11,309.7 radians/min

6) 6 inch pulley: 5654.7 radians/min

b) 900 RPM (revolutions per minute)

Step-by-step explanation:

Hi!

When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ. Then the tangential speed V is related to angular speed ω as:

$V=R\omega$

When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:

$\omega_1 R_1 = \omega_2 R_2\\$

$\omega_2 = \omega_1 \frac{R_1}{R_2} =1800RPM* \frac{3}{6}= 900RPM$

We need to convert RPM to radias per minute. One revolution is 2π radians, then:

$\omega_1 = 1800*2\pi \frac{radians}{min} = 11,309.7\frac{radians}{min}$

$\omega_2 = 5654.7 \frac{radians}{min}$

The saw rotates with the same angular speed as the 6 inch pulley: 900RPM

3 0

3 years ago