Half the sum of seven and w?

Answer:

x = 33 degree

Step-by-step explanation:

angles of a triangle = 64 degree , 50 degree , 2x

64 + 50 + 2x = 180 degree (sum of interior angles of a triangle)

114 +  2x = 180

2x = 180 - 114

x = 66/2

x = 33 degree

to find 2x

=2*33

=66 degree

Answer:

33

Step-by-step explanation:

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Answer:

n < -2

Step-by-step explanation:

-2n – 2 > 2

-2n (– 2 + 2) > 2 + 2

-2n > 4

-2n/-2 > 4/-2

n < -2

Answer:

Reflection across the x-axis.

Answer:

Step-by-step explanation:

take 60 degree as reference angle

using cos rule

cos 60 = adjacent / hypotenuse

1/2 = 80/x

do cross multiplication

2*80 = x

160 = x

160.0 = x

Answer:

270 m^2

Step-by-step explanation:

1. Write down your formula.  It is V= 1/3 Bh

2. Plug in your numbers.  Your new formula is V= 1/3 (81)(10)

3. Simplify the expression to get 270.

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Given,

The figure given is a rectangle. So, we know that the parallel (opposite) sides of a rectangle are equal to each other.

[tex]•°• \: \: 40 = 5x + 10 \\ 40 - 10 = 5x \\ 30 = 5x \\ \frac{30}{5} = x \\ 6 = x[/tex]

✐ The value of x is 6.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

True

Step-by-step explanation:

same numbers on both sides = equivalent expression

1+2+4 = 7

7-5 = 2

So the first side is 2

-5 + 4 = -1

-1 + 2 + 1 = 2

So the second side is 2

Simplified, this is 2 = 2

This is TRUE because this is an equivalent expression,  demonstrated by the equal sign.

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Answer:

The kite is 73.4 feet above the ground.

Step-by-step explanation:

125 sin 34=

Cross multiply.

x=69.899112...

x=69.899112...

{Add 3.5, the distance from the ground to her hand:}

Add 3.5, the distance from the ground to her hand:

69.899112...+3.5=

73.399112...

The kite is 73.4 feet above the ground.

A right angled triangle is a triangle (has three sides and three angles) in which one of the angles measure 90°.

Trigonometric ratios is used to show the relationship between the sides of the right angled triangle and its angles.

Let h represent the perpendicular distance from the top of the kite to her hand. The angle of elevation = 34°. Hence:

sin(34) = h/125

h = 69.9 feet

The distance from the kite to the ground = 69.9 + 3.5 = 73.4 feet

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Answer:

Step-by-step explanation:

direction=y-component/x-component

tan theta =6/-1

tan theta=-6

theta=[tex]tan^{-1}[/tex]-6

theta=180 -80.53

theta=99.47°

therefore the direction of the given vector line is 99.47°

Answer: 100

Step-by-step explanation:

Since she had a mean score of 94 in her 5 tests, then the total score will be:

= 94 × 5

= 470

Since she She remembered getting scores of 97, 88, 90, and 95, for 4 quizzes out of 5 quizzes, the total of the four quizzes will be:

= 97 + 88 + 90 + 95

= 370

Then, her 5th quiz will be:

= 470 - 370

= 100

Answer:

16cm

Step-by-step explanation:

63 = 20 + 27 + x

Answer:

4. (w² + 6)(w² - 6)

Step-by-step explanation:

w^4 - 36

(w² + 6)(w² - 6)

Answer:

63 coins

Step-by-step explanation:

I am going to assume you are asking how many dollar coins are in the bag, I apologize if I am wrong.

So first, set up the problem. The total number is 517.6 and each coin weighs 8.1

So you would divide 517.6 by 8.1 to get 63.9012346 (which has too many decimal points so round)

But rounding up would get the wrong number because it would be too light for the amount of coins said to be in there, but rounding down gives you 63.

So 63 times 8.1 is 510.3 and the total could consider the weight of the bag into the total 517.6.

Answer:

1-4=-3

-1-4=-5

-1+4=3

1-|-4|=5

Answer:

[tex]1-4=-3\\-1-4=-5\\-1+4=3\\1-(-4)=5[/tex]

Step-by-step explanation:

The hardest part about negative numbers in addition is remembering when to add, rather than subtract. In the last equation, we add the numbers together, because the negative sign cancels out with subtraction. All of the other equations we can follow exactly what it says to do, because there are no minus signs right next to each other.

Answer:

t = 4.7 days

Step-by-step explanation:

The half life formula is

N = No * e ^ (-kt)

Where No is the initial amount of the substance

N = 45 e ^ (-.1483 t)

We want 1/2 of the substance left

22.5 is half of 45 grams

22.5 = 45 e ^ (-.1483 t)

Divide each side by 45

1/2 = e ^ (-.1483 t)

Take the natural log of each side

ln(1/2) = ln (e ^ (-.1483 t))

ln(1/2) = -.1483t

Divide each side by -.1483

ln(1/2) / -.1483 = t

t=4.67395

Rounding to the nearest tenth

t = 4.7 days

Answer:

6a+6b

by distributive property

Step-by-step explanation:

Answer:

6a+6b

Step-by-step explanation:

6(a+b)

Use the distributive property to multiply 6 by a+b.

6a+6b

Answer:

[tex]7.5\ units^2[/tex]

Step-by-step explanation:

The formula to find the area of a trapezoid is the following,

[tex]A=(h)(\frac{(b_1)+(b_2)}{2})[/tex]

Where ([tex]h[/tex]) represents the heights of the trapezoid, ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represent the bases of the trapezoid, or rather the two parallel sides of the trapezoid.

One is given all of these values in the picture,

[tex]h = 2.5\\\\b_1 = 2\\\\b_2 = 4[/tex]

Substitute these values into the formula and solve for the area of the trapezoid,

[tex]A=(2.5)(\frac{(2)+(4)}{2})[/tex]

Simplify,

[tex]=(2.5)(\frac{6}{2})\\=(2.5)(3)\\=7.5[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \:A. \:- 8 {b}^{4} + 10 {b}^{3} + 10b}}}}}}[/tex]

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

[tex](7b + 7 {b}^{3} - 6 {b}^{4} ) + (3 {b}^{3} + 3b - 2 {b}^{4} )[/tex]

➼[tex] \: 7b + 7 {b}^{3} - 6 {b}^{4} + 3 {b}^{3} + 3b - 2 {b}^{4} [/tex]

Combining like terms, we have

➼[tex] \: - 6 {b}^{4} - 2 {b}^{4} + 7 {b}^{3} + 3 {b}^{3} + 7b + 3b[/tex]

➼[tex] \: - 8 {b}^{4} + 10 {b}^{3} + 10b[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

0.05 = 5/100

sqrt(0.05] = sqrt(5/100) = sqrt(5)/sqrt(100) = 2.24/10 = 0.224

0.0005 = 5/10000

sqrt [0.0005) = sqrt(5/10000) = sqrt(5)/sqrt(10000) =

= 2.24/100 = 0.0224

0.5 = 50/100

sqrt(0.5) = sqrt(50/100) = sqrt(50)/sqrt(100) = 7.07/10 =

= 0.707

0.005 = 50/10000

sqrt(0.005) = sqrt(50/10000) = sqrt(50)/sqrt(10000) =

= 7.07/100 = 0.0707

Step-by-step explanation:

it would be nice, if you could truly type the full and real question.

you mean sqrt(50) = 7.07

right ?

this assumption leads to the answers above.

9514 1404 393

Answer:

  ∠SPR = 48°

Step-by-step explanation:

The relevant relations are ...

Since PR is a diameter, triangle PQR is a right triangle with angle PQR being the right angle.

This makes ∠PRQ complementary to ∠RPQ:

  ∠PRQ = 90° -28° = 62°

Exterior angle RTS is the sum of interior angles TRQ and TQR, so angle TQR can be found to be ...

  110° = 62° +∠TQR

  ∠TQR = 110° -62° = 48° = ∠SQR

__

Angle TQR, also angle SQR, subtends arc SR, so is the same measure as angle SPR, which also subtends the same arc.

  ∠SPR = 48°

Answer:

a) Martín recorrió más distancia, b) A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente, c) La distancia recorrida promedio es 21.889 kilómetros, d) Martín recorrió 0.333 kilómetros más que Santiago.

Step-by-step explanation:

a) En primer lugar, convertimos la distancia recorrida por cada persona a su forma decimal:

Samuel

[tex]\frac{178}{8}\,km = 22.25\,km[/tex]

Martin

[tex]21\,km + \frac{3}{4}\,km = 21.75\,km[/tex]

Santiago

[tex]21\,km + \frac{5}{12}\,km = 21.417\,km[/tex]

Como puede apreciarse, Martín recorrió más distancia.

b) La distancia faltante es igual a la sustracción de la distancia recorrida por la persona a la distancia total:

Samuel

[tex]x = 29.3\,km -22.25\,km[/tex]

[tex]x = 7.05\,km[/tex]

Martin

[tex]x = 29.3\,km - 21.75\,km[/tex]

[tex]x = 7.55\,cm[/tex]

Santiago

[tex]x = 29.3\,km - 21.417\,km[/tex]

[tex]x = 7.883\,km[/tex]

A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente.

c) La distancia recorrida promedio se obtiene sumando las distancias recorridas de las tres personas y dividiendo el resultado por la cantidad de personas:

[tex]\bar{x} = \frac{22.5\,km + 21.75\,km + 21.417\,km}{3}[/tex]

[tex]\bar x = 21.889\,km[/tex]

La distancia recorrida promedio es 21.889 kilómetros.

d) Esta diferencia se encuentra a restar la distancia recorrida por Santiago a la distancia recorrida por Martín:

[tex]x = 21.75\,km - 21.417\,km[/tex]

[tex]x = 0.333\,km[/tex]

Martín recorrió 0.333 kilómetros más que Santiago.

Answer:

the answer is B

Answer:

90

Step-by-step explanation:

Answer:

C. 32 3/8

Step-by-step explanation:

First, divide the fraction and the 4 into two equations. This makes 7 x 4 and 7 x 5/8. Then multiply both to get 28 and 35/8. Then convert 35/8 into a mixed number to get 4 3/8. Then add 28 + 4 3/8 to get 32 3/8.

Answer:

it would be choice 3

3⅜

Step-by-step explanation:

hope it helps you :)

Answer:

B) y=0

Step-by-step explanation:

The exponential function shown has a horizontal asymptote at the line y=0, which means that y will approach 0 as the value of x decreases. Therefore, B is correct.

Note: The second expression must be [tex][(-3)+(-7)]+(-6)[/tex] instead of [tex][3+(-7)]+(6)[/tex]

Given:

The given expression is:

[tex]-3+[(-7)+(-6)][/tex]

Rahal rewrites the expression as:

[tex][(-3)+(-7)]+(-6)[/tex]

To find:

The property that Rahal use to rewrite the expression.

Solution:

According to the associative property of addition, if a, b and c are three real numbers, then

[tex]a+(b+c)=(a+b)+c[/tex]

We have,

[tex]-3+[(-7)+(-6)][/tex]

Using the associative property of addition, we get

[tex]-3+[(-7)+(-6)]=[(-3)+(-7)]+(-6)[/tex]

Therefore, the required property is associative property of addition.

Answer:

48

Step-by-step explanation:

Answer:

48 un²

Step-by-step explanation:

1/2 ( base x height)

1/2( 12 x 8 )

1/2( 96 )

48

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