Rewrite using a single positive exponent 5^-8*5^5

Answer:

Los ángulos son de 36, 47 y 97 grados y la altura es de 35 cm.

Step-by-step explanation:

Usando la regla del coseno podemos encontrar las medidas de los ángulos del triángulo escaleno

Cos A = b² + c²-a² / 2bc ------ ecuación A

Cos B = a² + c²-b² / 2ac ------- ecuación B

y Cos C = b² + a²-c² / 2ab ------ ecuación C

Si tomamos a = 29, b = 35 y c = 48

Luego, poniendo los valores

Cos A = b² + c²-a² / 2bc

Cos A = (35) ² + (48) ² - (29) ² / 2 (35) (48)

Cos A = 1225 + 2304-841 / 3360

Cos A = 0,8

A = cos ⁻¹ 0.8 = 36.86 grados casi 37 grados.

similar

Cos B = a² + c²-b² / 2ac

Cos B = (29) ² + (48) ²- (35) ² / 2 (29) (48)

Cos B = 1920/2784

B = cos ⁻¹ 0.689 = 46.39 grados casi 46 grados

Y

Cos C = b² + a²-c² / 2ab

Porque C = 1225 + 841-2304 / 2 * 29 * 35

Cos C = -0,11724

C = cos ⁻¹ -0,11724

C = 96,73 = 97 grados

la altura se puede calcular usando la fórmula

h = b. sin C = c. Pecado B

h = 35 sin 97 °

h = 34,75 = 35 cm

English

Using the cosine rule we can find the measures of the angles of the scalene triangle

Cos A= b²+c²-a²/ 2bc------ equation A

Cos B = a²+c²-b²/ 2ac------- equation B

and Cos C= b²+a²-c²/ 2ab------ equation C

If we take a= 29 , b= 35 and c= 48

Then by putting the values

Cos A= b²+c²-a²/ 2bc

Cos A= (35)² + (48)² - (29)²/ 2(35) (48)

Cos A= 1225+2304-841/ 3360

Cos A= 0.8

A = cos ⁻¹ 0.8= 36.86 degrees almost 37 degrees.

Similarly

Cos B = a²+c²-b²/ 2ac

Cos B = (29)²+(48)²-(35)²/ 2(29) (48)

Cos B=  1920/2784

B=cos ⁻¹ 0.689= 46.39 degrees almost 46 degrees

And

Cos C= b²+a²-c²/ 2ab

Cos C= 1225+841-2304/2*29*35

Cos C= -0.11724

C= cos ⁻¹ -0.11724

C= 96.73= 97 degrees

the height can be calculated using the formula

h= b. sin C= c. Sin B

h= 35 sin 97°

h= 34.75= 35 cm

The angles are 36, 47 and 97 degrees and height is 35 cm

Answer:

35 Car Washes  

Step-by-step explanation:

Data:-

Sale Charges per wash = $6/-

Cost per wash = $2/-

Base cost = $80/-

Required Profit = $60/-

Required:-

No of Cash Washes to reach the required profit = ?

Solution:-

Sales - VC = Contribution Margin

$6 - $2 = $4 per unit

Required Sales in Unit = Fixed Cost + Target Profit / Contribution margin per unit

= $80 + $60 / $4

= 35 Units  

Answer:

6g(4g - 3)

Step-by-step explanation:

24g² - 18g

Common factor:

6g

Factored equation:

6g(4g - 3)

Answer:

A, B, and D

Step-by-step explanation:

Answer:

10√6 ; √5/6 ; 42√14

Step-by-step explanation:

1)  - factorise 240

240/ 2 = 120

120/2 = 60

60/2 = 30

30/2 = 15

15/3 = 5

5/5 = 1

240 = 2^4 * 3 * 5

- simplify [tex]\sqrt{2^4 * 5 * 3}[/tex]. We can in particular simplify [tex]\sqrt{2^4}[/tex]  by dividing the index of the radius and the exponent by 2

[tex]2^2\sqrt{5*3} = 4\sqrt{15}[/tex]

- factorise 12

12/2 =.6

6/2 = 3

3/3 = 1

12 = 2^2 * 3

- simplify [tex]\sqrt{2^2 *3}[/tex]

[tex]\sqrt{2^2 * 3} = 2\sqrt{3}[/tex]

- divide [tex]4\sqrt{15} with 2\sqrt{3}[/tex]

number : number = 4/2 = 2

square : square = √15 / √3 = √5

[tex]2\sqrt{5}[/tex]

- multiply √30 with 2√5

number x number = 2x1 = 2

square x square = √30 x √5 = √150

2√150

- factorize 150

150/ 2 = 75

75/3 = 25

25/5 = 5

5/5 = 1

150 = 5^2 x 2 x 3

- simplify [tex]\sqrt{5^2 * 2 * 3}[/tex]

[tex]\sqrt{5^2 * 2 * 3} = 5\sqrt{6}[/tex]

- multiply 2 and 5

10√6

2)  remember that a division of two terms with the same square can be rewrite as [tex]\sqrt{x/y} = \sqrt{x} / \sqrt{y}[/tex]

- rewrite the expression in this way

[tex]\sqrt{5} / \sqrt{9} + \sqrt{5} / \sqrt{144} - \sqrt{5} / \sqrt{16}[/tex]

- solve the squares of the denominators

√5/3 + √5/12 -√5/4

- rewrite the fraction with the same denominator = 12

(4√5 + √5 - 3√5)/12

- simplify the numerators by sum the numbers

2√5/12

- divide 2 and 12

√5/6

3)

- multiply 3√2 and √14

number x number = 3 x 1 = 3

square x square = √2 x √14  = √28

3√28

- factorise 28

28 = 2^2 x 7

- simplify [tex]\sqrt{2^2 *7}[/tex]

[tex]\sqrt{2^2 *7} = 2\sqrt{7}[/tex]

- multiply 3 and 2

6√7

- factorise 98

98/2 = 49

49/7 = 7

7/7 = 1

98 = 7^2 * 2

- simplify [tex]\sqrt{7^2 * 2}[/tex]

[tex]\sqrt{7^2 * 2} = 7\sqrt{2}[/tex]

- multiply 6√7 and 7√2

number x number = 42

square x square = √14

42√14

Answer:

thats right.

Step-by-step explanation:

the first place after the decimal is tenths, second, hundredths, third thousands, and so on

Add a+b+c=p for the triangle.

24+26+10=60, Then add this to the semi-circles perimeter.

p=r(pi+2)

r=d/2

p=13(3.14+2)

p=13(5.14)

p=66.82

Add 66.82+60

66.82+60=126.82

Answer: 126.82

Answer:

No

Step-by-step explanation:

Since the hypotenuse is 13, the 2 legs' sum HAVE to be GREATER than the hypotenuse or else it is not a triangle.

"A triangle is valid if sum of its two sides is greater than the third side."

Answer: 175

Step-by-step explanation: Do 5425 divided by 31

Answer:

A gorilla will eat an average of 175 pounds of food a day.

Step-by-step explanation:

The gorilla will eat 5,425 pounds a day per month. According to your 31-day month, to find the amount the gorilla will eat per day, we need to divide his monthly consumptions by 31.

5425/31 = 175.

Answer: 1st one is geometric I think not fully sure but the second is 3 times

Step-by-step explanation: I was doing it

Answer:

geometric, 3 times

Step-by-step explanation:

imagine math

Answer:

Taxi charges , airplane flying altitude and pizza charges are modeled with linear function.

Step-by-step explanation:

Here  

Taxi charges  (y) = $2 + 1.50 ( x )

Airplane descends with the slope constant slope of 20 feet per minute.

Pizza charge ( y ) = $5.50 + 0.50 ( x )

Thus from the above equated equation we can conclude Taxi charges , airplane flying altitude and pizza charges are modeled with linear function.

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Answer:

66.04

Step-by-step explanation:

26 x 2.54 =

= 66.04

Answer:

66.04 cm

Step-by-step explanation:

All you need to do is multiply 2.54 cm twenty-six times for your answer.

     2  .  5      4

2║40║10 ║0.8  ║→ 50.8

6║ 12║ 3 ║0.24║→ 15.24

50.8 + 15.24 = 66.04

Answer:

I think its B

Step-by-step explanation:

Answer:

1/4 is the answer

Step-by-step explanation:

First, we see that the total students is 20 & the students who got 6 or 7 is 5.

5/20 = 1/4

1/4 = 25%

Answer:

3rd one!

Step-by-step explanation:

I think it’s B but I am not sure sorry dude

Explanatio⁣n i⁣s i⁣n a fil⁣e

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

The total cost of Raul's 32%

Answer:

120cm³

Step-by-step explanation:

The volume of a rectangular prism is the length multiplied by the width and height. You may not have multiplied correctly or multiplied all of the dimensions.

So, let's multiply our dimensions, 4cm × 6cm × 5 cm.

4 · 6 · 5 = 120

4 times 6 equals 24, then 24 times 5 is 120.

The volume of the box, then, is 120cm³. Remember to use the ³ (cubed) sign for volume.

Good luck :)

Answer:

its b i think dont trust though

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

The expression that represents the sum of the interior angles of a polygon with 14 sides is: B. 180(14 - 2).

The formula for the sum of the interior angles of a polygon is given as, 180(n - 2), where n is the number of sides of the polygon.

For a 14-sided polygon, the sum of the interior angles would be:

180(14 - 2).

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Answer:

Hello! Answer: 496

Step-by-step explanation:

When finding area for triangles we have to do base x height then divide by 2 so

62 x 16 = 992

992 ÷ 2 = 496

So 496 is our answer!

Answer:

A - 496

Step-by-step explanation:

formula for area of a triangle

[tex]a = \frac{bh}{2} [/tex]

where b = base length and h = height

The triangle shown has a base length of 62 ft and a height of 16 ft

That being said we plug in the given values into the formula

[tex]a = \frac{62 \times 16}{2} \\ 62 \times 16 = 992 \\ \frac{992}{2} = 496[/tex]

Hence the area of the triangle is 496 square feet

Answer:

(1/7)^(-1)<(1/7)^(-2)

7(-1)<(1/7)^(-1)

7^-2<7^-1

Step-by-step explanation:

U can look at the negative exponent that negative sign as the divide sign over 1

7^(-1)means 1/7

7^(-2) means 1/7^(2)=1/49

(1/7)^(-1)=7

(1/7)^(-2)=49

Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

As both prism have the same base area and height there volumes are the same.

Step-by-step explanation:

Volume of the prism is given by

Volume of Prism A= base area* height

60 cubic units= base area* 12

base area= 60/12= 5 units

Volume of Prism B= base area* height

                              = 5 units*12 units

                             = 60 cubic units

As both prism have the same base area and height there volumes are the same.

The length of the longer side is the length of the triangle itself.

For example the length of longer side of prism A maybe 10 units but width may be 1/2 units

and

the length of longer side of prism B maybe 15 units but width may be 1/3 units

the total base area remains the same.

Answer:60 cubic units

Step-by-step explanation:

Answer:

1911.5 cm^3

Step-by-step explanation:

Answer:

The volume of the hemisphere is approximately 1911.5 cubic centimeters.

Step-by-step explanation:

The volume of a hemisphere ([tex]V[/tex]), in cubic centimeters, is equivalent to the half of the volume of a sphere, that is:

[tex]V = \frac{2\pi}{3}\cdot R^{3}[/tex] (1)

Where [tex]R[/tex] is the radius of the hemisphere, in centimeters.

If we know that [tex]R = 9.7\,cm[/tex], then the volume of the hemisphere is:

[tex]V = \frac{2\pi}{3}\cdot R^{3}[/tex]

[tex]V = \frac{2\pi}{3}\cdot (9.7\,cm)^{3}[/tex]

[tex]V \approx 1911.498\,cm^{3}[/tex]

The volume of the hemisphere is approximately 1911.5 cubic centimeters.