The measures of two angles of a triangle are 47 and 72 degrees. Find the measure of the third angle.

Answer:

x = [tex]\sqrt{99}[/tex]

Step-by-step explanation:

Based on the Pythagoras theorem, where a and b are the legs of the triangle and c is the hypotenuse.

[tex]c^{2}= a^{2} + b^{2} \\c = \sqrt{a^{2} + b^{2} } \\x = \sqrt{7^{2} + (5\sqrt{2})^{2}} \\x = \sqrt{99}[/tex]

Therefor x = [tex]\sqrt{99}[/tex]

Well if Jorge's motion can be described by vectors then he first went +25 steps then -75 steps which means he did -50 steps in total. His position is thus 50 steps to the south of the original position.

Hope this helps.

Answer:

50

Step-by-step explanation:

Answer:

46

12+12=24

6+6=12

8+8=16

24+12+16:46

Answer:

Step-by-step explanation:

Let the speed of the car = x and the speed of the truck = y

We have following equations:

Simplify the first equation and substitute x:

Find the value of x:

Car's speed   60 mph

Truck's speed   40 mph

Answer:

[tex]5^{-2}[/tex]

Step-by-step explanation:

[tex]5^{(10-12)}[/tex]

The simplified expression in the form 5^n is 5^−1×6.

A fraction represents a part of a number or any number of equal parts.

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

We are given that;

Form=5 ^ n

Now,

To simplify the expression, we need to first rewrite the fractions with a common denominator of 60: (5/10)/(5/12)=(5×6)/(10×6)÷(5×5)/(12×5)=(30/60)/(25/60)

Then we need to invert the second fraction and multiply: (30/60)/(25/60)=(30/60)×(60/25)=30/25

Then we need to simplify the fraction by dividing both numerator and denominator by 5: 30/25=(30÷5)/(25÷5)=6/5

Finally, we need to rewrite the fraction in the form of 5n

by using the property that a/b=a×b−1

So we have: 6/5=6×5−1=50×6×5−1=50−1×6=5−1×6

Therefore, by the fraction the answer will be 5^−1×6.

Learn more about fraction;

https://brainly.com/question/729654?referrer=searchResults

#SPJ2

Answer:

37 degrees because of similarity

Step-by-step explanation:

Answer37\

Step-by-step explanation:

Answer:

8a) 118°

8b) 1.8

Step-by-step explanation:

8a) <NMQ and <PQM are each 62°

360-62-62=236

1/2 of 236 is 118

m<NPQ=118°

8b) 5.9-4.1=1.8

Answer:

(A) 0.2814

Step-by-step explanation:

you do 47 (amount of trucks with speed pass) divided by 167 (total amount of vehicles) to get 0.2814.

Answer:

A) 0.2814

Step-by-step explanation:

edge 2023

Answer:

Step-by-step explanation:

The first two questions are answered here

Use the equation for exterior angle

Exterior angle  = sum of non-adjacent interior angles

Answer:

x = 26° degrees the work bellow is correct i double checked it :)

Step-by-step explanation:

Answer:

Inequality Form:

y<2

Interval Notation:

(−∞,2)

The answer your looking for is: y<2

Answer:

66.7% = 0.667 in decimal form.

Hope that helps!

Answer:

0.667

Step-by-step explanation:

Percentages can be changed to decimals by dividing by 100 (or moving the decimal left two places).

Decimals can be changed to percentages by multiplying by 100 (or moving the decimal right two places).

Because 66.7% is a percentage (and we're converting to a decimal), we divide by 100 and move the decimal left two places so it becomes 0.667.

Answer:

how sweet thx

Step-by-step explanation:

Answer:

D) 180 inches²

SEE NOTE*

Step-by-step explanation:

Base = 10x10=100

Each triangle = 1/2x10x4=20

20x4=80

100+80=180

* This may be a trick question.  This pyramid CANNOT exist.  If the base is 10 inches, the height of the triangles cannot be 4 inches.  They must be more than 5.  

Answer:

40 ft²

Step-by-step explanation:

The shape of the outdoor carpet can be decomposed into 2 triangles and 1 rectangle

✔️Area of triangle 1:

Area = ½*bh

b = 6 - 3 = 3 ft

h = 11 - 7 = 4 ft

Area of triangle 1 = ½*3*4 = 6 ft²

✔️Area of triangle 2:

Area = ½*by

b = 2 ft

h = 3 ft

Area of triangle 2 = ½*2*3 = 3 ft

✔️Area of rectangle = L × W

L = 11 ft

W = 3 ft

Area of rectangle = 11 × 3 = 33 ft

✅area of outdoor carpet = 4 + 3 + 33 = 40 ft²

Answer:

x = 3 ± √5

Step-by-step explanation:

Given:

(x - 3)² = 5

Find:

Value of x

Computation:

(x - 3)² = 5

x² - 6x + 9 = 5

x² - 6x + 4 = 0

x = [-b ± √b² -4ac] / 2a

x = 3 ± √5

Answer:

2.828427m^4n^4p

Step-by-step explanation:

Answer:

2m²n² √(2p)

Step-by-step explanation:

√8 m⁴n⁴ p = √2²*2*(m²)²*(n²)²*p = 2m²n² √(2p)

Answer:

The length of the missing side is 8.5 ft

Step-by-step explanation:

To find the length of the missing side, we can use the Pythagorean theorem which states [tex]a^2 + b^2 = c^2[/tex] where c is the length of the longest side of a right-angle triangle while a and b are the other two sides. Note that the Pythagorean theorem ONLY applies to right-angle triangles.

[tex]a^2+b^2=c^2\\(6)^2+(6)^2=36+36=72=c^2\\\\c=\sqrt{72}= 8.48[/tex]

Rounding to the first decimal place, we get c = 8.5ft

Answer:

Step-by-step explanation:

1,5 m / Parámetros dados:

Longitud de onda = 15 m

Frecuencia = 0,1 Hz

Desconocido:

Velocidad media de las olas =?

Solución:

Para encontrar la velocidad promedio,

   Velocidad media = frecuencia x longitud de onda

Velocidad media = 0,1 x 15 = 1,5 m / s

Answer:

A,C,D

Step-by-step explanation:

I just did it

Step-by-step explanation:

the slope is 1/4

the y-int is (0, -6)

Answer:

x = 4√3

Step-by-step explanation:

It's not letting me post, so refer to my explanation in the screenshot below:

Answer:

6 feet from the greater force

Step-by-step explanation:

X = length from greater weight to fulcrum

132X = 88(15-X)

132X = 1320-88X

220X = 1320

X = 6