If angle 4 is x + 15 and angle 2 is 3x - 5, what is the
value of x?

Answer:

111  1/3 feet tall

Step-by-step explanation:

Answer:

Hence 262 adults and 88chidren are in the audience

Step-by-step explanation:

Let the number adults be x

Let the number of children be y

If there are 350seats in the theatre then;

x+y =350 .... 1

Also if $10.50was charged for adults and $7.50 for children with total amount of $3411, then;

10.50x + 7.50 y = 3411..... 2

Solve simultaneously

From 1, x = 350-y

Substitute into 2:

10.50(350-y) +7.50y = 3411

3675-10.5y+7.50y = 3412

3675-3y = 3411

-3y = 3411-3675

-3y = -264

y = 264/3

y = 88

From 3: x = 350-y

x = 350-88

x = 262

Hence 262 adults and 88chidren are in the audience

Answer:

Equation: x° + x° + (x + 10)° + 59° = 360°

Solution: x = 97

Step-by-step explanation:

The sum of the interior angles of a quadrilateral = 360°

Therefore:

x° + x° + (x + 10)° + 59° = 360°

Solve for x

x + x + x + 10 + 59 = 360

Add like terms

3x + 69 = 360

Subtract 69 from each side

3x = 360 - 69

3x = 291

Divide both sides by 3

x = 97

Answer:

5^20 • 7^40

Step-by-step explanation:

each exponent needs to multiply each 10.

Answer:

D. [tex]5^{20}[/tex] x [tex]7^{40}[/tex]

Step-by-step explanation:

Original Equation=  [tex](5^2 \cdot 7^4)^{10}[/tex]  

Apply exponent rule: [tex](a\cdot b) ^n[/tex] = [tex]a^n[/tex] [tex]b^n[/tex]

= [tex](5^2)^{10}[/tex]  x   [tex](7^4)^{10}[/tex]

Distribute them

= [tex]5^{20}[/tex]  x  [tex](7^4)^{10}[/tex]

= [tex]5^{20}[/tex] x [tex]7^{40}[/tex]

Hope this helps!

Answer:

to simplify this it is 1295/1804

Step-by-step explanation:

I think it's B

Not 100% sure but I think

Answer:

¼

Step-by-step explanation:

25%

= 25÷100

= ¼ (°.° 25×4 = 100)

Answer: 79 seconds.

Step-by-step explanation:1) we have to calculate the lenght of the baseball field.

perimeter of the baseball field=2(radius)+lenght of a semicircle.

2(radius)=2(175 ft)=350 ft

lenght of a semicircle=40% of a circumference=(40/100)(2πr)

Perimeter of the baseball field=2(175 ft) + (40/100)(2π175 ft)=

=350 ft + 140π ft=350 ft + 439.82 ft=789.82 ft,

2)Now, we calculate the amounts of time that it takes you to ruan arount the baseball field.

10 ft------------------------1 second

789,82 ft-----------------    x

x=(789.82 ft * 1 second) / 10 ft=78.98 s≈79 s

Answer:

[tex]99\ inches[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Diameter\ of\ the\ Sun\ or\ the\ Semi-Circular\ Window=63\ inches\\Hence\ in\ order\ to\ find\ the\ length\ of\ the\ top\ part,\ we\ need\ to\\ find\ the\ semi-circumference\ of\ the\ window.\\Hence,\\As\ we\ know\ that,\ in\ any\ circular\ figure,\\Radius=\frac{Diameter}{2} \\Hence\ here,\\Radius\ of\ the\ Semi-Circular\ Window=\frac{63}{2}\\Hence,\\As\ the\ Circumference\ of\ a\ circle= 2\pi r[/tex][tex]Hence,\\Semi-Circumference= \frac{Circumference}{2}\\Hence,\\ Semi-Circumference=\frac{2\pi r}{2}\\Semi-Circumference=\pi r\\Hence\ taking\ r=\frac{63}{2}\ and\ \pi =\frac{22}{7} ,\\The\ Semi-Circumference\ of\ the\ Semi-Circular\ Window=\pi *\frac{63}{2} \\The\ Semi-Circumference\ of\ the\ Semi-Circular\ Window= \frac{22}{7}*\frac{63}{2}\\[/tex]

[tex]The\ Semi-Circumference\ of\ the\ Semi-Circular\ Window= 11*9=99\ in\\Hence,\\The\ length\ of\ the\ top\ part\ of\ the\ window= 99\ inches[/tex]

Answer:34)63

Step-by-step explanation:

Answer:

6 8 8 8 89 9 8 8 66 4 4 4 57 8c8 7 54

Answer: It is possible to determine the height of the triangle by using the formula of the area of a triangle and creating an equation to find the missing value (height). Also, the value of the height is 7ft

Explanation:

The area of a triangle is found by using both the height and the base of a triangle. Indeed, the general formula for this is A( area) = h (height) x b (base) ÷ 2. Now, this general formula can be used to find any of the values missing if two values are known. This means the height can be calculated using the area and the base. To do this, create a simple equation and solve it. The process is shown below:

1. Write the general equation

[tex]A = \frac{h b}{2}[/tex]

2. Replace the letters with the values you have

[tex]21 =\frac{6b}{2}[/tex]

3. Find the missing value by moving the values to the other side of the equal symbol (=) and changing its symbol

21 x 2 = 6b   -For example 2 divided 6b but if it is changed to the other side it needs to multiply

42 = 6 b

42 / 6 = b

b = 7

This means the value of the height is 7 ft. If  you want to double-check this, use the original formula:

A = 6 ft x 7 ft / 2

A= 42 [tex]ft^{2}[/tex] / 2

A= 21 [tex]ft^{2}[/tex]

Answer:

n=99°

Step-by-step explanation:

As both the triangles are similar, the angles are equal. For both triangles, n= 180-(37+44)

=99

Answer:

n=9 I think so my sister told me sorry if I am wrong:(

Answer:

Step-by-step explanation:

You would do

4×18.5 =74

2×6.75 =13.5

14×7/8 =12.25

Add all that up and it equals 99.75lbs/pounds

Answer:

the answer is 70

Step-by-step explanation:

Step-by-step explanation:

23=20. $6.50=$7

20x7=$140

Answer:

first step is 20. Second step is 7.00$. He will make 140.00$ an hour.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

To find perimeter, add the lengths of each side. 5 + 4 + 3 = 12

Answer:

12

Step-by-step explanation:

5+4+3

Answer:

y=3x+1

Step-by-step explanation:

A parallel line has the same slope as the other line.

y=mx+b, m is the slope

Thus in y=3x+1, m =3

y = 3x + b

plug in points (1, 4) to determine b

4 = 3(1) + b

4 = 3 + b

subtract 3 on both sides

4 - 3 = b

b = 1

y = 3x + 1

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Answer:

(i) 512,000 cubic cm

(ii) 512,000 cubic cm

(iii) The tank holds 512 liters of water

Step-by-step explanation:

Capacity and Volume

Volume is the amount of space a container or object occupies. Capacity is the amount of matter required to fill the container.

(i)

The cubic tank has a side length of a=80 cm. The volume of a cube is:

[tex]V=a^3[/tex]

[tex]V=80^3[/tex]

[tex]C=512,000\ cm^3[/tex]

(ii)

The tank holds 512,000 cubic cm of water

(iii)

Since 1 liter = 1,000 cubic cm, the tank holds 512,000/1,000 = 512 liters of water.

Answer:

100

Step-by-step explanation:

Answer:

P(X is greater than 30) = 0.06

Step-by-step explanation:

Given that:

Sample proportion (p) = 0.5

Sample size = 30

The Binomial can be approximated to normal with:

[tex]\mu = np = 50 \times 0.5 \\ \\ \mu= 25[/tex]

[tex]\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{50 \times (0.5)(1-0.5) } \\ \\ \sigma = 3.536[/tex]

To find:

P(X> 30)

So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 30 lies between 29.5 and 30.5

Normal distribution:

x = 30.5, [tex]\mu[/tex] = 25, [tex]\sigma[/tex] = 3.536

Using the z test statistics;

[tex]z = \dfrac{x - \mu}{\sigma}[/tex]

[tex]z = \dfrac{30.5 - 25}{3.536}[/tex]

[tex]z = \dfrac{5.5}{3.536}[/tex]

z = 1.555

The p-value for P(X>30) = P(Z > 1.555)

The p-value for P(X>30) = 1 - P (Z< 1.555)

From the z tables;

P(X> 30) = 1 - 0.9400

Thus;

P(X is greater than 30) = 0.06

Answer:

51.2 apples, but obviously you can't do that, so i think the answer would be 51 apples

Step-by-step explanation:

Answer:

Antonio's first error occurred in First step where he added the denominators of both fractions instead of finding a common denominator.

Step-by-step explanation:

In order to add or subtract two fractions, a common denominator is found and then the denominators of both fractions are made equal to the common denominator.

The given fractions are:

[tex]\frac{2}{9}\ and\ \frac{1}{5}[/tex]

The common denominator is the number which is the multiple off denominators of both fractions involved.

Antonio made his first error in first step. Instead of finding a common multiple denominator, he add the denominator of both fractions which is wrong.

The correct method is:

[tex]\frac{2}{9} + \frac{1}{5}\\= \frac{2*5}{9*5} + \frac{1*9}{5*9}\\=\frac{10}{45}+\frac{9}{45}\\=\frac{19}{45}[/tex]

Hence,

Antonio's first error occurred in First step where he added the denominators of both fractions instead of finding a common denominator.

Answer:

800,004,500

Step-by-step explanation:

Solution :

The diameter of the tank = 3 m = 300 cm

Radius of the tank = 1.5 m = 150 cm

Height of the tank = 8 m = 800 cm

The rate of increase of height of water level = 26 cm/min

∴ [tex]$\frac{dh}{dt} = 20 \ cm/min$[/tex]

The water is leaking at a rate of  =  10700 cubic centimeters per min

∴ rate out = 10,700 [tex]$cm^3 / cm $[/tex]

At time 't', the height of water level is 'h' with radius 'r' and volume 'V'.

By the property of similarity of triangles we can write

[tex]$\frac{h}{r} = \frac{800}{150} $[/tex]

[tex]$\frac{h}{r} = \frac{16}{3} $[/tex]

[tex]$r = \frac{3}{16}h$[/tex]

Volume of water at time 't' is given as

[tex]$V= \frac{1}{3} \pi r^2 h $[/tex]

[tex]$V= \frac{1}{3} \pi \left(\frac{3}{16}h\right)^2 h $[/tex]

[tex]$V =\frac{3}{256} \pi h^3$[/tex]

Now differentiating w.r.t 't'

[tex]$\frac{dv}{dt} = \frac{9}{256} \pi h^2 \frac{dh}{dt}$[/tex]

The rate of increase in tank =  rate of inward flow - rate of outward flow

[tex]$\frac{dv}{dt} $[/tex]  = rate of inward flow  - 10,700

rate of inflow = 10,700 + [tex]$ \frac{9}{256} \pi h^2 \frac{dh}{dt}$[/tex]

Substituting the values we get

rate of inflow = 10,700 + [tex]$ \frac{9}{256} \times 3.14 \times (250)^2 \times 26$[/tex]

∴ rate of inward flow = [tex]$1.9 \times 10^5 \ cm^3/min$[/tex]

Answer: i believe it’s A

Step-by-step explanation:

By ASA criteria, ΔQMP is congruent to ΔRNP.

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a figure as shown in the image.

In ΔQMP and ΔRNP -

∠QPM = ∠NPR {Vertically opposite angles}

QM = NR {Given}

∠MQP = ∠NRP {Alternate interior angles}

So, by ASA criteria, ΔQMP is congruent to ΔRNP.

Therefore, by ASA criteria, ΔQMP is congruent to ΔRNP.

To solve more questions on triangles, visit the link below-

brainly.com/question/25950519

#SPJ2

Answer:

24$

Step-by-step explanation:

Recall that

sin²(θ) + cos²(θ) = 1

for all θ, and given that cos(θ) < 0, we find that

cos(θ) = -√(1 - sin²(θ)) = -√(1 - (2/5)²) = -√(21)/5

Now,

csc(θ) = 1/sin(θ) = 1/(2/5) = 5/2

and

cot(θ) = cos(θ)/sin(θ) = (-√(21)/5)/(2/5) = -√(21)/2

Answer:

36

Step-by-step explanation:

USE PYTHOGORAS THEOREM

A²=C²-B²

C²=3600

B²=2304

3600-2304=1296

√1296=36

hope it helps

Have a nice Day , I would appreciate it if you could mark my answer brainliest

Answer:

[tex]x=82^{\circ}[/tex]

Step-by-step explanation:

We can draw a perpendicular line through the two parallel lines to create a pentagon (there is an image attached in case you need to see where the line intersects the two parallel lines). Since the angle sum of a pentagon is [tex]540^{\circ}[/tex], we can solve for [tex]x[/tex].

[tex]x+140+138+90+90 = 540[/tex] (Angle sum of pentagon is [tex]540^{\circ}[/tex])

[tex]x+458=540[/tex] (collect like-terms)

[tex]x=82^{\circ}[/tex]

Hope this helps :)