For the rhombus below, find the measures of ∠1, ∠2, ∠3, and ∠4.

Answer:50

Step-by-step explanation:(40x100):80

Answer: 50 workers

Let the ratio be

(40×100):80

= 400/80

= 50

Therefore 50 workers will complete the same work in 80 hours.

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Answer:

totally 16 numbers can be formed

It is hard and the condition of repeat of number should be clear if you have formula ( it is obvious to have) you can use that.

Answer:

15cm

Step-by-step explanation:

First, a square's diagonal is basically the hypotenuse of a 45-45-90 triangle. a 45-45-90 triangle has a really special relationship, where the side length is x, and the diagonal is x [tex]\sqrt{2}[/tex]. So, the side length is 15.

Answer:

15cm

Step-by-step explanation:

Each corner of the square would be a 90° angle so half of that would be 45°.

[tex] \sin(45) \times 15 \sqrt{2} = 15cm[/tex]

Step-by-step explanation:

No, speed is the rate of change of distance.

Velocity is the rate of change of displacement.

Distance is scalar quantity, it has just magnitude.

Displacement is vector quantity, it has both magnitude as well as direction. So, speed and velocity are scalar and vector respectively too.

Answer:

Step-by-step explanation:

Area of a square is expressed as A = L² where L is the length of one side of the square.

The rate of change of area will be expressed  using chain rule as;

dA/dt = dA/dL * dL/dt where;

dL/dt is the rate at which the side length of the square is decreasing.

Given L = 7cm, dL/dt = 8cm/sec and dA/dL = 2L

dA/dL = 2(7)

dA/dL = 14cm

Substituting the given value into the chain rule expression above to get the rate of change of the area of the square, we will have;

dA/dt = dA/dL * dL/dt

dA/dt = 14cm * 8cm/sec

dA/dt = 112cm²/sec

Hence, the rate of change of the area of the square when the side length is 7 cm is 112cm²/sec

Hey there! I'm happy to help!

We know that the ice cream store makes 144 quarts in eight hours. What about in one hour? Let's divide this by eight to find out.

144/8=18

So, they make 18 quarts every hour. We want to figure out how many can be made in 12 hours. So, we just multiply 18 by 12!

18(12)=216

Therefore, 216 quarts of ice cream could be made in 12 hours.

Have a wonderful day! :D

The ice cream store will make 216 quarts of ice cream in 12 hours.

Division is breaking a number up into an equal number of parts.

Given that, An ice cream store makes 144 quarts of ice cream in 8 hours.

Since, they make 144 quarts of ice cream in 8 hours

Therefore, in 1 hour they will make = 144/8 = 18 quarts

So, in 12 hours = 18x12 = 216 quarts.

Hence, The ice cream store will make 216 quarts of ice cream in 12 hours.

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Answer:

no solution because the answer will be p=2

10 - [ 8p + 3 ] = 9 [ 2p - 5 ]

10 - 8p - 3 = [ 2p - 5 ]

-8p + 10 - 3 = [ 2p - 5 ]

p = 2 We need to get rid of expression parentheses.

If there is a negative sign in front of it, each term within the expression changes sign.

Otherwise, the expression remains unchanged.

In our example, the following 2 terms will change sign:

8p, 3

Step-by-step explanation:

Errors:   Both of your upper bounds are wrong

               You subtracted the upper bound from the upper bound

Step-by-step explanation:

605 kg to the nearest 5 kg

lower bound is 602.5 (because it rounds up to 605)

upper bound is 607.4 (because it rounds down to 605)

Note: 607.5 would round up to 610

78 kg rounded to the nearest 1 kg

lower bound is 77.5 (because it rounds up to 78)

upper bound is 78.4 (because it rounds down to 78)

Note: 78.5 would round up to 79

Upper Bound - Lower bound is the maximum weight remaining on the elevator

607.4 - 77.5 = 529.9

529.9 ≤ 530 so YES the elevator is safe.

Answer:

-All integers are whole numbers.

-All rational numbers are natural numbers.

Step-by-step explanation:

The statement which is correct about the sets of numbers is:

All integers are rational numbers.

Option D is the correct answer.

A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero.

We have,

Natural number:

Natural numbers are positive integers or non-negative integers which start from 1 and end at infinity.

Integer:

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.

Whole number:

Whole numbers include all natural numbers and 0.

It does not include fractions, decimals, and negative integers.

Irrational numbers:

An irrational number is a type of real number which cannot be represented as a simple fraction.

It cannot be expressed in the form of a ratio.

Rational number:

A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero.

From the above definition, we can say that,

- Some integers are whole numbers but not all integers are whole numbers.

- No irrational numbers are integers.

-Some rational numbers are natural numbers but not all rational numbers are natural numbers.

- Yes, all integers are rational numbers.

Thus the statement which is correct about the sets of numbers is:

All integers are rational numbers.

Option D is the correct answer.

Learn more about rational numbers here:

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Hi there! :)

Answer:

x = -7.

Step-by-step explanation:

Starting with:

3(2x + 2) = 3x - 15

Begin by distributing '3' with the terms inside of the parenthesis:

3(2x) + 3(2) = 3x - 15

Simplify:

6x + 6 = 3x - 15

Isolate the variable by subtracting '3x' from both sides:

6x - 3x + 6 = 3x - 3x - 15

3x + 6 = -15

Subtract 6 from both sides:

3x + 6 - 6 = -15 - 6

3x = -21

Divide both sides by 3:

3x/3 = -21/3

x = -7.

Answer:

x = -7

Step-by-step explanation:

3(2x+2) = 3x - 15

First, we should simplify on the left side.

6x + 6 = 3x - 15 ; Now we subtract six from both sides.

      -6          -6

6x = 3x - 21 ; next we just subtract 3x from both sides.

-3x   -3x

3x = -21

Finally, we divide 3 from both sides to separate the three from the x.

x = -7

Hope this helps!! <3 :)

Answer:

x = 138

Step-by-step explanation:

A straight line is 180

x+ 42 = 180

X = 180-42

x = 138

Answer:

13.99 x 2 = 27.98 dollars

now if they were 14 dollars exactly and you doubled that it would be 28 dollars so the difference would be 0.02 cents

Step-by-step explanation:

Step-by-step explanation:

there it is! hopefully it's visible and understandable

:)

Answer:

first term (a1) = 3/2

common difference (d) = 7/4-3/2 = 1/4

Answer:

d=8 and a=7

Step-by-step explanation:

The sum of a arithmetic sequence is given by (n/2)*(2a+(n-1)d). Comparing coefficients with the given Sn, we have; a-d/2=3 and d/2=4, d=8 and a=7. The sequence is 7, 15, 23, 31, 39

Answer:

Hypoglycemia would sign at 1,000

Step-by-step explanation:

We know that a short-acting insulin (Regular insulin) work at last for 2 to 3 hours

Also intermediate acting insulin (NPH) insulin crests in 4 to 10 hours.

So, nurse assess this patient for signs of hypoglycemia 1000 to 1600

Answer:

I think cubic polynomial cause degree is 3

Answer:

bde

Step-by-step explanation:

Answer:

B: The histogram shows there were 22 students in the class.

D: The histogram is symmetrical.

E:The histogram has a peak.

F: The histogram shows the data is evenly distributed.

Step-by-step explanation:

edg 2020

[tex]5 \frac{2}{3} + 3 \frac{1}{5} \\ \frac{17}{3} + \frac{16}{5} \\ \frac{(17 \times 5) + (16\times 3)}{5 \times 3} \\ \frac{85 + 48}{15} \\ \frac{133}{15} = 8\frac{13}{15} [/tex]

Answer:

Block A has greatest density because it also the biggest.

Step-by-step explanation:

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Answer:

15: 5, 2.5, 1.6666......

27: 9, 4.5, 3

Step-by-step explanation:

For 15:

So first you divide 15 by 5, which equals 3

Long division:

then by 6. 15/6 can be simplified to 5/2, which can be easier to figure out.

And by nine. 15/9 can be simplified to 5/3 which is harder than 5/2, but you can figure it out by long division. 3 fits once in 5, and there is two left over. Add a decimal after 1 and a zero after the two. 3 fits 6 times into 20 (18), but the cycle continues forever resulting in 1.666666.......

For 27:

27/3 is nine

for 27/6 you can simplify to 9/2, which is like 90/2=45, just move the decimal over one spot to make 4.5

for 27/9, the answer is 3

9514 1404 393

Answer:

  (x, y) = (1/2, -√3/2)

Step-by-step explanation:

The coordinates on a unit circle of the intersection of the terminal ray of angle α are ...

  (x, y) = (cos(α), sin(α))

For α = 5π/3, the point on the unit circle is ...

  (x, y) = (cos(5π/3), sin(5π/3)) = (1/2, (-√3)/2)

Answer: 3.2 feet.

Step-by-step explanation:

Given: The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation[tex]f(x) = -0.3x^2 + 2x[/tex], where [tex]f(x)[/tex] is the height of the path of the water above the ground, in feet, and [tex]x[/tex] is the horizontal distance of the path of the water from the end of the hose, in feet.

At x= 4 , we get

[tex]f(x) = -0.3(4)^2 + 2(4)=-0.3(16)+8 =-4.8+8=3.2[/tex]

Hence, when the water was 4 feet from the end of the hose,  its height above the ground is 3.2 feet.

Answer:

3.2 feet.

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

f(0) means that x is equal to zero and so you substitute all the x's for zeros which means -3 times 0 plus 7 is equal to 7

Answer:

[tex]x=\frac{7}{3}[/tex]

Step-by-step explanation:

Since any number multiplied by zero equals zero, our equation is really:

0 = -3x+7

First, we'd have to subtract the 7 from both sides:

-7 = -3x

Now we need to divide the negative three from both sides to isolate the x.

7/3 = x

So, our answer is x=7/3

Hope this helps!! <3 :)

The area is given by the integral

[tex]\displaystyle A=2\pi\int_Cx(t)\,\mathrm ds[/tex]

where C is the curve and [tex]dS[/tex] is the line element,

[tex]\mathrm ds=\sqrt{\left(\dfrac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt[/tex]

We have

[tex]x(t)=t+\sqrt 2\implies\dfrac{\mathrm dx}{\mathrm dt}=1[/tex]

[tex]y(t)=\dfrac{t^2}2+\sqrt 2\,t+1\implies\dfrac{\mathrm dy}{\mathrm dt}=t+\sqrt 2[/tex]

[tex]\implies\mathrm ds=\sqrt{1^2+(t+\sqrt2)^2}\,\mathrm dt=\sqrt{t^2+2\sqrt2\,t+3}\,\mathrm dt[/tex]

So the area is

[tex]\displaystyle A=2\pi\int_{-\sqrt2}^{\sqrt2}(t+\sqrt 2)\sqrt{t^2+2\sqrt 2\,t+3}\,\mathrm dt[/tex]

Substitute [tex]u=t^2+2\sqrt2\,t+3[/tex] and [tex]\mathrm du=(2t+2\sqrt 2)\,\mathrm dt[/tex]:

[tex]\displaystyle A=\pi\int_1^9\sqrt u\,\mathrm du=\frac{2\pi}3u^{3/2}\bigg|_1^9=\frac{52\pi}3[/tex]

Answer:

To Find F(3) you just have to replace x=3 so:

F(3)= -3^3 + 4×3^2 -2×3 = -27 +4×9 - 6 = -33 + 36 = 3

9514 1404 393

Answer:

  t = 3-√7 and 3+√7 seconds after launch

Step-by-step explanation:

You want to find the values of t that make h=10.

  10 = 30t -5t^2

  t^2 -6t = -2 . . . . . divide by -5

  t^2 -6t +9 = 7 . . . add 9 to complete the square

  (t -3)^2 = 7 . . . . . write as a square

  t -3 = ±√7 . . . . . . take the square root

  t = 3 ±√7 . . . . . . values of t for which height is 10 meters

__

These values are about 0.354 seconds, and 5.646 seconds.