Is this triangle congruent by
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SSS
ASA
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LA
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Answer:

70.86 degrees

Step-by-step explanation:

cos x = adjacent side / hypotenuse

= 2/6.1 = 0.32787

x = 70.86.

Answer:

x ≈ 70.9°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{2}{6.1}[/tex] , then

x = [tex]cos^{-1}[/tex] ([tex]\frac{2}{6.1}[/tex] ) ≈ 70.9° ( to 1 dec. place )

Answer:

2571.14 m^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

The diameter is 17 so the radius is 1/2 of the diameter or 17/2 =8.5

V = 4/3 (3.14) (8.5)^3

 = 2571.13666

Rounding to the nearest hundredth

 = 2571.14 m^3

=================================================

Work Shown:

V = (4/3)*pi*r^3

V = (4/3)*3.14*(8.5)^3

V = 2571.13666666667 which is approximate

V = 2571.14

-------------

Notes:

Answer:

C. F × 2

Step-by-step explanation:

Twice as many infers multiplication. Since Sophie caught twice as many as her dad, then we would multiply the number of her dad's caught fish by 2. The question states her dad's caught fish is represented by variable F so it would be:

F × 2

Answer:

3 ways

Step-by-step explanation:

since the lowest # of people interested in a position is 3, there can only be 3 different ways to fill an entire 4-person committee

Answer:

Hello There!!

Step-by-step explanation:

50% of 52 is 26.

hope this helps,have a great day!!

~Pinky~

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

26 is 50% of 52

Option A= 10

Using Pythagoras Theorem,

8²+6²= (hypotenuse)²

64+36= (hypotenuse)²

(hypotenuse)²= 100

hypotenuse= √100

hypotenuse= 10

So Option A= 10

Answer:

The hypotenuse is A. 10.

Step-by-step explanation:

To find the length of hypotenuse we can use  the pythagoras theorem formula:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]=>6^{2} +8^{2} = c^{2}[/tex]

[tex]=> 36 + 64 = c^{2}[/tex]

[tex]=> 100 =c^{2}[/tex]

[tex]=> c = \sqrt{100}[/tex]

∴ [tex]c[/tex] [tex]= 10[/tex]

Answer:

-4x + 5 ?

sorry if wrong

Answer:

105 yards

Step-by-step explanation:

The other side is Width = 374/17 = 22.

So, the new width is 44 ( and the length is 17/2).

Perimeter = 2(17/2) + 2(44) = 17+88=105 yds.

So, 105 yards.

Mark me as Brainliest if this is correct! I really appreciate it! :D

The perimeter of the new garden is 105 yards

The area of a rectangle is expressed as:

w = A/l

w = 374/17

w = 22 yards

The perimeter of the new garden if the width is doubled is expressed as:

P = 2(l + w)

P = 2(17/2 + 2(22))

P = 17 + 88

P = 105 yards

Hence the perimeter of the new garden is 105 yards

Learn more on perimeter of rectangle here: https://brainly.com/question/19819849

Answer:

x =2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Use pythag to create your equation.

x^2+5^2=7^2

x=[tex]\sqrt{24}[/tex]

In simplest radical form: x =2[tex]\sqrt{6}[/tex]

Answer:

x = 10.5

Step-by-step explanation:

[tex]cos 65 =\frac {adjacent}{hypotenuse} \\\\0.4226 = \frac{x}{25}\\\\0.4226 \times 25 = x \\\\x = 10.565[/tex]

Answer:

Step-by-step explanation:

take 65 degree as reference angle

using cos rule

cos 65=adjacent/hypotenuse

0.42=x/25

0.42*25=x

10.5=x

Answer:

(-4,-5)

Step-by-step explanation:

Given :

[tex] \implies[/tex] Midpoint = ( -2-6)/2 , (-10+0)/2

[tex] \implies[/tex] M = ( -8/2 , -10/2 )

[tex] \implies[/tex] M = (-4 , -5)

Hence the midpoint is (-4,-5) .

Answer:

2 cuts

Step-by-step explanation:

Get the height of the tree first

Using SOH CAH TOA identity;

Sin theta = opp/hyp

Sin 70 = /6

H = 6sin70

H = 6(0.9397)

H = 5.6381

Hence the height of the tree is 5.64m

Initial cut = 4m

Remaining height of trunk = 5.64 - 4 = 1.64

This means that he only need to make 2 cuts to cart the whole tree away

Answer:

Donna will have to pay $12.60 for the roast

Step-by-step explanation:

I found this by doing 5.6 × 2.25 and that equals 12.6

pls mark me brainliest

Answer:

the answer is c

Step-by-step explanation:

Answer:

x-10

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The equation to find slope is [tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]. You plug in the values to get [tex]\frac{8-(-20)}{5-3}[/tex]. This simplifies to [tex]\frac{28}{2}[/tex], which is 14.

Answer:

[tex]a = 3.7464[/tex]

[tex]b = 16[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Express the answer in [tex]a * 10^b[/tex]

From the question, we have:

[tex]People = 4.46 * 10^9[/tex]

[tex]Breath = 8.4 * 10^6[/tex] breath/person in a year

The number of breath is calculated by:

[tex]Overall = People * Breath[/tex]

So, we have:

[tex]Overall = 4.46 * 10^9 * 8.4 * 10^6[/tex]

Reorder

[tex]Overall = 4.46 * 8.4* 10^9 * 10^6[/tex]

[tex]Overall = 37.464* 10^{9+6}[/tex]

[tex]Overall = 37.464* 10^{15}[/tex]

Using scientific notation [tex]a * 10^b[/tex];

The value (a) must be in the following interval [tex]0 \le a \le 1[/tex]

So, we have:

[tex]Overall = 3.7464 * 10 * 10^{15[/tex]

[tex]Overall = 3.7464 * 10^{16[/tex]

By comparing the above with: [tex]a * 10^b[/tex]

[tex]a = 3.7464[/tex]

[tex]b = 16[/tex]

—————————————————

Margi has 6 square tiles of equal size. each side of each tile is 0.8 inch long. If Margi places all the tiles in a row with sides touching, how long is the row?

—————————————————

[tex]\mathrm{N = 6×0.8 \: inch}[/tex]

[tex]{\boxed{\mathrm\green{N = 4.8 \: inch}}}[/tex]

—————————————————

[tex]\purple{\boxed{\boxed{\tt\pink{➢4.8 \: inch}}}}[/tex]

Answer:

D

Step-by-step explanation:

Answer:

Answer is D.

Step-by-step explanation:

The Equation of the Graph is r= 1 + 3 sinФ .

The three crucial trigonometry ratios on which functions are defined are sine, cosine, and tangent. The graphs for the three trigonometric functions sin, cos, and tan are shown below. In these trigonometry graphs, the y-axis represents the value of the function at each given angle, while the x-axis represents the angle values in radians.

here, we have,

Given:

The Graph for each function is Attaches Below.

The graph represented here shows the function r= 1 + 3 sinФ .

The graph for, r= 1 + 3 cos   have the vertical graph.

and, the graph for, r= 2+ 2 sinФ    have the Circular graph.

and, the graph for, r= 3 +  sinФ    have the Circular graph.

Learn more about Graph for Polar Coordinates here:

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[tex]x = 80[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex](x - 8)2 = 144 \\ ⇢ 2x - 16 = 144 \\ ⇢ 2x = 144 + 16 \\ ⇢ 2x = 160 \\ ⇢ x = \frac{160}{2} \\ ⇢ x = 80[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{To\:verify }}{\orange{:}}}}}[/tex]

[tex]2x - 16 = 144 \\ ➵ \: 2 \times 80 - 16 = 144 \\ ➵ \: 160 - 16 = 144 \\ ➵ \: 144 = 144 \\ ➵ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

(1/2)^2= 0.25 thank you

Answer:

Los padres de la promoción deben elegir la Opción 1, porque da un mayor interés en la inversión.

Step-by-step explanation:

El monto recaudado por la escuela secundaria = S / 24,000

Las opciones que tienen los padres para depositar el dinero son;

Opción 1:

El interés simple del depósito = 10%

El número de veces que se aplica el interés anualmente = Trimestral

El número de años para el depósito = 2 años

opcion 2

La tasa de interés del depósito, r = 18% de interés simple.

El número de veces que se aplica el interés = Semestralmente

La cantidad de años que se ahorrará la cantidad = 2 años

Opción 1

Observamos que para el interés simple no hay interés ganado sobre el interés anterior.

Por lo tanto;

Una inversión que paga el 10% trimestralmente = (1/4) año pagará 4 × 10% = 40% en 4 × (1/4) año = 1 año

La cantidad de interés ganado en 2 años invirtiendo en la opción 1 se da como sigue;

Yo = P × R × T / (100)

∴ I₁ = 24.000 × 40 × 2/100 = 19.200

El interés después de 2 años en la opción 1, I₁ = S /. 19.200

opcion 2

Una inversión que paga 18% semestralmente = (1/2) año pagará 2 × 18% = 36% en 2 × (1/2) año = 1 año

La cantidad de interés ganado en 2 años invirtiendo en la opción 2 se da a continuación;

Yo = P × R × T / (100)

∴ I₂ = 24.000 × 36 × 2/100 = 17.280

El interés después de 2 años en la opción 2, I₂ = S /. 17.280

Dado que el interés dado por la opción 1, I₁ = S / .19,200 es mayor que el interés dado por la opción 2, I₂ = S /. 17.280, los padres de la promoción deben elegir la opción 1, que es depositar durante 2 años que paga un interés simple trimestral del 10%

Answer:

x=10  3x= 30

Step-by-step explanation:

3x = 30 since the angles are vertical angles

3x/3 = 30/3

x = 10

Answer:

B

Step-by-step explanation:

Set up an equation:

30 = 3x

Divide both sides by 3:

10 = x

x = 10 degrees

Plug the value of x into the angle:

3 × 10

30 degrees

Answer:

So the dimensions are 11 1/2 yds × 15 3/4 { 11 whole number 1 by 2 yards multiplied by 15 whole number 3 by 4}

Step-by-step explanation:

Here multiplicative property will be used .

a*1/a= 1

1* a/1= a   ( reciprocal)

23/147 yd × 3/14 will be multiplied with the reciprocal of the factor 2/147 to

get the original number.

23/147 yd*147/2 × 3/14*147/2

23/2 yds  × 441/28

11 1/2 yds × 15 3/4

So the dimensions are 11 1/2 yds × 15 3/4  11 whole number 1 by 2  multiplied by 15 whole number 3 by 4.

9514 1404 393

Answer:

  3x -5y = -38

Step-by-step explanation:

The equation of the perpendicular line can be formed by swapping the coefficients of x and y in the given equation, negating one of them. The new constant will be the one that lets the given point satisfy the equation.

  given: 5x +3y = 5

  perpendicular: 3x -5y = constant

At the given point, the constant is ...

  3(-6) -5(4) = -18 -20 = -38

So, the desired equation is ...

  3x -5y = -38

Answer:

4th July 1776

Step-by-step explanation:

4th July is marked as independence day

Answer:

50 red apples

Step-by-step explanation:

Ratio: 2:5

Tomatoes: 20

20/2 = 10

5 x 10 = 50

There are 50 apples.

Answer:

You will pay $13.50 in interest and end up paying $238.50 total after the eight years

Step-by-step explanation:

225 x 0.06 = 13.5

225 + 13.5 = 238.5

Answer:

you pay 108 dollars after 8 years