What is the solution to 5/8 X -1/3 < 1 1/3

Answer:

m∠FEH = 44°

m∠EHG =  64°

Step-by-step explanation:

1) The given information are;

The angle of arc m∠FEH = 272°, the measured angle of ∠EFG = 116°

Given that m∠FEH = 272°, therefore, arc ∠HGF = 360 - 272 = 88°

Therefore, angle subtended by arc ∠HGF at the center = 88°

The angle subtended by arc ∠HGF at the circumference = m∠FEH

∴ m∠FEH = 88°/2 = 44° (Angle subtended at the center = 2×angle subtended at the circumference)

m∠FEH = 44°

2) Similarly, m∠HGF is subtended by arc m FEH, therefore, m∠HGF = (arc m FEH)/2 = 272°/2 = 136°

The sum of angles in a quadrilateral = 360°

Therefore;

m∠FEH + m∠HGF + m∠EFG + m∠EHG = 360° (The sum of angles in a quadrilateral EFGH)

m∠EHG = 360° - (m∠FEH + m∠HGF + m∠EFG) = 360 - (44 + 136 + 116) = 64°

m∠EHG =  64°.

g(x) = (x - 5)^2 + 2x^3

At the root this function is equal to 0

(x - 5)^2 + 2x^3= 0

Rearrange:

(x - 5)^2 = -2x^3

Now if you plot these two functions you need to check how many times they intersect. For this you do not need to be precise just scetch approximately.

If you do that, you will see that they meet once. I cannot really use this site to plot, but you can use other tools for that if you do not know how to do it.

Answer:

70.15 ft²

Step-by-step explanation:

The figure consists of two adjacent equilateral triangles (all angles are 60 degrees and all outer edges are 9 ft).

If we focus on one of these equilateral triangles, we can get the final area by multiplying the area of that one triangle by 2.

The formula for the area of a triangle is (1/2)(base)(height).  Remembering to multiply this by 2, we get

area of figure = (base)(height)

                                             √3

                       = (9 ft)(9 ft)(--------) = (81 ft²)(1.732) = 70.15 ft²

                                               2

Answer:

16 x 66 = 1056mm^2

Step-by-step explanation:

Answer:19.1

Step-by-step explanation:

Answer:

B. 46.1 in

Step-by-step explanation:

First, we must find the hypotenuse of the triangle.

Since this is a right triangle, we can use Pythagorean Theorem.

a^2+b^2=c^2

where a and b are the legs and c is the hypotenuse.

13 and 14 are the legs, because they form the right angle. x is the hypotenuse because it is opposite the right angle.

13^2+14^2=x^2

Evaluate each exponent.

13^2=13*13=169

14^2=14*14=196

169+196=x^2

Add 169 and 96

365=x^2

Take the square root of both sides.

√365=√x^2

√365=x

19.1049732=x

Round to the nearest tenth.

19.1=x

The hypotenuse is 19.1 inches

Now, find the perimeter. Add up all the sides of the triangle: the legs (13 in and 14 in) and the hypotenuse (19.1 in)

13 in +14 in +19.1 in

46.1 in

The perimeter is 46.1 inches and B is correct.

Answer:

650

Step-by-step explanation:

1st row has 1 ball

2nd row has 4 balls

3rd row has 9 balls

4th row has 16 balls

We can see that the number of balls is the square of the row number. There are a total of 12 rows. So, rest of the rows has:

5th row has 25 balls

6th row has 36 balls

7th row has 49 balls

8th row has 64 balls

9th row has 81 balls

10th row has 100 balls

11th row has 121 balls

12th row has 144 balls

If we add up all those, we get total number of balls

please mark me brainliest!

Answer:

correct answer is 2800.

Step-by-step explanation:

You take the area of the square which is 20x20 = 400.

There is 5 squares 400x5 = 2000

There is 4 triangles--which is 1/2 the area of 1 square (In this case).

One triangle = 200

200x4 = 800

2000 + 800 = 2800

Answer:

Step-by-step explanation:

550

Answer:

19.625 cm^2

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V = 3.14 * 5^2 * .25

V =19.625 cm^2

Answer:

The answer is given below

Step-by-step explanation:

From the diagram below,Let the line AB and CD be parallel line. Let transversal line EF cut AB at Y and transversal line EF cut CD at Z.

The bisector of ∠BYZ and ∠DZY meet at O. Therefore ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2

∠BYZ and ∠DZY are interior angles.

∠BYZ + ∠DZY = 180 (sum of consecutive interior angles)

∠BYZ/2 + ∠DZY/2 = 180/2

∠BYZ/2 + ∠DZY/2 = 90°

In ΔOYZ:

∠YZO + ∠ZYO + ∠YOZ = 180 (sum of angles on a straight line).

But  ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2

∠DZY/2 + ∠BYZ/2 + ∠YOZ = 180

90 + ∠YOZ = 180

∠YOZ = 180 - 90

∠YOZ = 90°

Therefore Angle bisectors of the same side interior angles are perpendicular.

Answer:

d = 7

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x2 - x1)^2+(y2-y1)^2}[/tex]

Plug in our 2 coordinates:

[tex]d = \sqrt{(2-2)^2+(1+6)^2}[/tex]

And you should get 7 as your final answer.

Answer:

7 units

Step-by-step explanation:

Since the x coordinates are the same, we only have to look at the difference between the y coordinates to determine the distance

1 - -6 = distance

1+6 = 7

The distance is 7 units

Answer:

from the top of my head if I read the bars right I think its 98 but I could really see the bars

Answer:

102

Step-by-step explanation:

24+12+5+17+6+19+4+15= 102

Answer:

5

Step-by-step explanation:

If you calculate it it will be 4 28/33 which is closer to 5

Answer:

I do not have enough time to put them in order if you don't mind but i can list the prices.

Step-by-step explanation:

each piece of squid is 1.25

each piece of tuna is 3.25

each piece of crab is 2.00

hope this helps <3

Answer:

A

Step-by-step explanation:

Answer:

Infinite Solutions

Step-by-step explanation:

Since we don't have the values of a and b, a and b can be any number. If they can be any number, then our answer has to be infinite solutions, as our answer can vary between different values.

Answer:

Answer:

b. 100

Step-by-step explanation:

Answer:

Since ∠E ≅ ∠A and ∠D ≅ ∠B, the answer is ΔABC ~ ΔEDF.

Answer:

option 2

Step-by-step explanation:

Answer:

260 meters.

Step-by-step explanation:

It is given that construction crews A,B,C and D build a 1200 meter long road.

[tex]A+B+C+D=1200[/tex]     ...(1)

Team A builds 1/2 of the total length built by the other 3 teams. So,

[tex]A:(B+C+D)=1:2[/tex]

It means total distance divided in 1:2.

[tex]A=1200\times \dfrac{1}{1+2}=1200\times \dfrac{1}{3}=400[/tex]

Similarly,

Team B builds 1/3 of the total length built by the other 3 teams.

[tex]B:(A+C+D)=1:3[/tex]

It means total distance divided in 1:3.

[tex]B=1200\times \dfrac{1}{4}=300[/tex]

C builds a section that is 1/4 of the length built by the other teams.

[tex]C:(A+B+D)=1:4[/tex]

It means total distance divided in 1:4.

[tex]C=1200\times \dfrac{1}{5}=240[/tex]

Now, put A=400, B=300 and C=240 in (1).

[tex]400+300+240+D=1200[/tex]

[tex]D=1200-940[/tex]

[tex]D=260[/tex]

Therefore, 260 meters build by D.

Answer:

$252

Step-by-step explanation:

This is quite a neat question, with no fixed equation. Given that each person gives the other two enough money to double their cash, if Toy had 36 dollars beginning, and 36 at the end - presumably the cash of each person, ( their starting and original ) should be the same as well. Respectively each should be a multiple of 36 dollars.

Jan's " give away " = Ami + 36, Jan - 108, Toy + 72

Toy's " give away " = Ami + 72, Jan + 36, Toy - 108

Therefore, we can conclude that Ami = 144 at the start, presuming he gave away 108 dollars, with a remaining 36. Jan, having 144 dollars ( after having his 72 dollars doubled by Ami ) gives 36 to Ami to double his amount, and 72 to double Toy's doubled amount, remaining with 36 dollars. Now Ami has 72 dollars, Jan has 36, and Toy has 144. Then, Toy double's Ami and Jan's amount, giving away 72 and 36 dollars, remaining with 36 dollars himself. Therefore, Ami has 144 dollars, Jan has 72 dollars, and Toy has 36 dollars both at the beginning and end.

144 + 72 + 36 = 252 dollars ( in total )

Answer:

The answer is 252

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

4x^4+3x^2-3x^3-3x+1

Answer:

7x + 23

Step-by-step explanation:

Remember BPEMDAS.

Product of 7 and a number means 7 times a variable: 7x

23 more than part means 23 + whatever we just did, so:

7x + 23

Answer:

23+7x

Step-by-step explanation:

23 + (7 * x)

23+7x

Answer:

A. Positive

Step-by-step explanation:

Since 48 is way larger than 39, we know that if we subtract 39 from 48, we will still get a positive number.

Answer:

A. Positive

Step-by-step explanation:

Im not very good at explaining. I hope I helped :)

Answer:

The area of a rectangle is the product of the length and the width of the rectangle.

The dimensions chosen for length and width of a rectangle must be the lengths of two adjacent sides. The area is the product of the two dimensions. It does not make a difference which one you call length and which one you call width since length * width = width * length because of the commutative property of multiplication.,

Answer:

To find the area you need both the length and width

A= lw

Practically it doesn't matter which one you call length or width  as long as both of them used in the calculation. The product of them doesn't change.

Answer:

D. a³+b³=(a+b)(a²-ab+b²)

Explanation:

That is the form of the Sum of Cubes identity

Answer:

40x+150>=400 i think

Step-by-step explanation:

40x+150>=400

40x>=250

x=6.25

I hope this helps you

Answer:

3  -√5

Step-by-step explanation:

(√5 + 1) / (2 + √5)

Multiply top and bottom of the fraction by the conjugate of 2 + √5 which is  2 - √5.

By doing this we rationalise the denominator:

= (√5 + 1 ) *  ( 2 - √5) /  (2 + √5)(2 - √5)

= (√5 + 1 ) *  ( 2 - √5)/ (4 - 2√5 + 2√5 - 5)

= (2√5 - 5 + 2 - √5) / (4 - 5)

= (√5 - 3) / -1

= 3  -√5

Answer:

4 seconds.

Step-by-step explanation:

The given equation is

[tex]h=-16t^2+64t[/tex]

where, h is height in feet of a golf ball above the ground after being hit into the air and t is the number of seconds elapsed since the ball was hit.

We need to find the time for the ball to hit the ground.

At ground level the height of ball is 0, i.e., h=0.

[tex]-16t^2+64t=0[/tex]

[tex]-16t(t-4)=0[/tex]

Using zero product property, we get

[tex]-16t=0\Rightarrow t=0[/tex]

[tex]t-4=0\Rightarrow t=4[/tex]

Therefore, it will take 4 seconds for the ball to hit the ground.

Answer:

4 seconds

That's your answer!!

Answer: 4 scoops

Step-by-step explanation:

2/3 % 1/6 = 4 scoops

Answer:

1/9 pounds

Step-by-step explanation:

2/3 divide by 6

flip the 6 when dividing and then change division sign to multiplication

2/3 (1/6)

[tex] \frac{2}{3} \times \frac{1}{6} [/tex]

then multiply and simplify 2/18

Answer:a x=3 y=-4

Step-by-step explanation: