Michael is building a skateboard ramp He cannot decide how long the ramp should be so he draws the blueprint below. Michael draws a vertical line in the big triangle AAGH to form the AABC Michael determines the slope of both triangles to find out which ramp will be steeper​

Because it is extremely hard to find the area of this figure all together, it would be in our best interest to split this figure up into three different pieces: the two horizontal rectangles, and the verticle rectangle. We can find the area of all three and add them up. Be aware that there are two different ways that you can break this figure up, As shown in the attachments. I will be using the first image (the one with the tall horizontal rectangles, NOT the almost-squares).

So, we see that we have enough information to solve for the area of the left-most rectangle. Area = lw. 10 x 4 = 40, so the area is 40. Next, we have to notice, that the horizontal rectangles are also the same, so both of the areas of the two horizontal rectangles are 40.

Now, we can find the middle rectangle. We know that the length of the entire thing is 18, but it is taken up by 8 (4+4) of the horizontal triangles, so 18-8=10, so the length Is 10. We also know that the height of the horizontal rectangles is 10, so 10-3=7. Our dimensions for the rectangle are 10x7 or 70 square units. If we add them all together, 40+40+70=150.

The area is 150 square units

Answer:

[tex]r \le 10[/tex]

[tex]s > -1[/tex]

[tex]t \ne 5[/tex]

[tex]x \le -3[/tex]

[tex]y \ne 1[/tex]

Step-by-step explanation:

Required

Translate to mathematical statements

a) r is less than or equal to ten.

less than or equal means [tex]\le[/tex]

So, the expression is:

[tex]r \le 10[/tex]

b) s is more than negative one

More than means >

So, the expression is:

[tex]s > -1[/tex]

c) t isn't the same as negative  five.

isn't the same means not equal to ([tex]\neq[/tex])

So, the expression is:

[tex]t \ne 5[/tex]

d) x is at most negative three.

At most means [tex]\le[/tex]

So, the expression is:

[tex]x \le -3[/tex]

e) y is never one.

is never means not equal to ([tex]\neq[/tex])

So, the expression is:

[tex]y \ne 1[/tex]

x=6

hopefully im not wrong^^

Answer:

n+524

Step-by-step explanation:

you add both years worth of biking together!

Answer:

B and C

Step-by-step explanation:

Answer:

1 square unit

Step-by-step explanation:

its easy

1 * 1 = 1

Step-by-step explanation:

expanded = 3n + 18

plz mark my answer as brainlist plzzzz if you find it useful ☺️.

Answer:

The missing digit is 8

Step-by-step explanation:

3528/6 = 588

Answer:

the missing digit is 8

Step-by-step explanation:

3528÷6=588.

^

Answer:a

Step-by-step explanation:

⇒ d + e + f = b + a + a + c + b + c

⇒ d +e + f = 2a + 2b + 2c

= 2(a + b + c)

But, according to triangle angle sum theorem,

a + b + c = 180 degrees

Therefore, ⇒ d +e + f = 2(180°)

= 360°

Answer:

I only know a and b so don't hate me...

Step-by-step explanation:

Part A)

 Angle 3 is 103° because 77° + ∠3= 180° and  ∠3 = 180° - 77° = 103°

Part B)

Angle 4 is 77° because ∠3 + ∠4 = 180° and  ∠4 = 180° - 103° = 77°

Answer:

z = 13

Step-by-step explanation:

Opposite sides of a parallelogram are equal. Therefore:

3z = z + 26

Subtracf z from each side

3z - z = 26

2z = 26

z = 26/2

z = 13

Answer:

x= -1.1

Step-by-step explanation:

first combine like terms

3x+7x=10x

10x-8=-19

+8 on both sides

10x= -11

divide by 10

x= -1.1

check the answer

10(-1.1)-8= -19

-11-8= -19 its true

Question: Find the value of xxx in the triangle shown below

Answer: Pg.21607062  

Brainly.com

2-19-21

Answer:

x = 70

Step-by-step explanation:

Answer:

≈ -0.0005

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

y + 2x + 10 = 4x + 5

y = 4x - 2x + 5 - 10

y = 2x - 5

Answer- C

Answer:

No it does not form a triangle.

Step-by-step explanation:

If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.

Answer:

$50.84

Step-by-step explanation:

By multiplying $3.28 × 15.5 = $50.84

Answer:

121.1/1.6%

Step-by-step explanation:

subtarct the given numebrs to get 121.1

Divide 123.06 from 121.1, multiply by 100, and you have 101.6, rate of change take away the hundred value to get 1.6%

Hope this helps and makes sense

TAN: 45/28

SIN: 45/53

COS: 28/53

sin(x°) = opposite/hypotenuse

cos(x°) = adjacent/hypotenuse

tan(x°) = opposite/adjacent

x is any degree measure.

Hence option C (45/28) is correct

What are trigonometric rations?

Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec) are the six trigonometric ratios (sec). Trigonometry is the branch of mathematics concerned with the sides and angles of a right-angled triangle in geometry. As a result, trig ratios are assessed in terms of sides and angles.

How to solve ?

Given θ

∴tan θ=[tex]\frac{Perpendicular}{Base}[/tex]

=45/28

= option c

Hence option C (45/28) is correct

Learn more about trigonometric rationshttps://brainly.com/question/24349828

#SPJ2

Answer:

Hence, first one will be 1/3 and second one will be 1/6

Step-by-step explanation:

1. Let the blank space be x then,

[tex]3 \frac{2}{3} + x = 4[/tex]

[tex]x = 4 - 3 \frac{2}{3} [/tex]

[tex]x = \frac{12 - 11}{3} [/tex]

[tex]x = \frac{1}{3} [/tex]

2. Let the blank be x then,

[tex]x + \frac{2}{3} = \frac{5}{6} [/tex]

[tex]x = \frac{5}{6} - \frac{2}{3} [/tex]

[tex]x = \frac{5 - 4}{6} [/tex]

[tex]x = \frac{1}{6} [/tex]

Answer:

35/16

Step-by-step explanation:

Answer:

2.1875

Step-by-step explanation:

35/16=2.1875

2.1875 pounds

Answer:

18 ft^3

Step-by-step explanation:

The volume of a right rectangular prism is the area of the base multiplied by the height.

V = Ah

V = (5 5/8 ft^2) * (3 1/5 ft)

First, we convert the mixed numerals into fractions.

V = 45/8 ft^2 * 16/5 ft

Now we multiply the fractions.

V = (45 * 16)/(8 * 5) ft^3

Factor 45 into 5 * 9. Factor 16 into 2 * 8.

V = (5 * 9 * 2 * 8)/(8 * 5) ft^3

We can divide the numerator and denominator by 5 and by 8 before doing the multiplications.

V = (9 * 2)/1 ft^3

V = 18 ft^3

Step-by-step explanation:

Amount of additive in each can

= Total amount of additive / Number of cans

= (1/2 of a pint) / (3)

= 1/6 of a pint.

Noah put 1/6 of a pint of additive in each can.

Answer:

The answer is 1,101.

Step-by-step explanation:

1.101 ^ 2 = 11.01

And 1.101 ^ 4 = 11,010.