Solve the right triangle. Round decimal answers to the nearest tenth.

Answer:

.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

edge ⬇️

The equation given is:

Multiply both-side of the equation by 6

subtract 9 from both-side of the equation

To get k, we are to multiply both-side of the equation

Therefore, Olga made a mistake in the last step

Answer:

0.04

Step-by-step explanation:

0.03508772

Answer:

a) 5 mm/ 3 days

b) 20 bars/ $11

c) $2/day

d) 3 cm/month

Step-by-step explanation:

a) 15/3 = 5/3

b) 4/2.20 = 20/11

c) 14/7 = 2

d) 12/4 = 3

Hope this helps (o′┏▽┓｀o)

Answer:

234

Step-by-step explanation:

Answer:

175 divided by 25

Step-by-step explanation:

7 days

Answer:

x= -2

Step-by-step explanation:

turn the model into an equation. you get:

-4x + 3 = 11

subtract 3 on each side:

-4x = 8

divide by -4:

x  = -2

\(zeros \begin{cases} x=0\implies &x=0\\ x=9\implies &x-9=0\\ x=9\implies &x-9=0 \end{cases}\qquad \implies a(x)(x-9)(x-9)=\stackrel{y}{0} \\\\\\ \stackrel{\textit{with a coefficient of 1}}{1(x)(x-9)(x-9)=y}\implies x(x-9)^2=y\implies x(x^2-18x+81)=y \\\\\\ ~\hfill {\Large \begin{array}{llll} x^3-18x^2+81x=y \end{array}}~\hfill\)

The surface area of the cylindrical pottery vase is 177.55 in².

Given that a cylindrical pottery vase has a diameter of 4.3 inches and a height of 11 inches, we need to find the surface area of the vase,

SA of a cylinder = 2π×radius(h+r)

= 2×3.14×2.15(2.15+11)

= 177.55 in²

Hence, the surface area of the cylindrical pottery vase is 177.55 in².

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If you want to have

\(x^2-14x = (x+b)^2+c\)

notice that expanding the right side gives

\(x^2-14x = x^2+2bx+b^2+c\)

so that

\(\begin{cases}2b=-14 \\ b^2+c=0\end{cases}\)

It follows that b = -7 and c = -49. Then

\(x^2-14x = \boxed{(x-7)^2-49}\)

Answer:

(- 2, - 7 )

Step-by-step explanation:

x + 3y = - 23 → (1)

- x + 4y = - 26 → (2)

add (1) and (2) term by term to eliminate x

(x - x) + (3y + 4y) = - 23 - 26

0 + 7y = - 49

7y = - 49 ( divide both sides by 7 )

y = - 7

substitute y = - 7 into either of the 2 equations and solve for x

substituting into (1)

x + 3(- 7) = - 23

x - 21 = - 23 ( add 21 to both sides )

x = - 2

solution is (- 2, - 7 )

Answer:

a

Step-by-step explanation:

Answer:

\(\frac{1}{32} yards^{3}\)

Step-by-step explanation:

\(V=w*h*l\)

↓

\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)

=

\(\frac{1}{32} yards^{3}\\\)

Hope this helps!

Answer:

the expected area of the resulting circular region is 616.38 m²

Step-by-step explanation:

Given that:

\(f(r) = \left \{ {{\dfrac{3}{4}(1-(14-r)^2)} \atop {0 }} \right. \ \ 13 \leq r \leq 15\) otherwise

The expected area of the resulting circular region  is:

= \(E(\pi r^2)\)

= \(\pi E (r^2)\)

To calculate \(E(r^2)\)

\(E(r^2) = \int\limits^{15}_{13} {r^2} \ f(r) \ dr\)

\(E(r^2) = \int\limits^{15}_{13} \ \dfrac{3r^2}{4}(1-(14-r)^2)dr\)

\(E(r^2) = \dfrac{3}{4} \int\limits^{15}_{13} \ r^2 (1-196-r^2+28r) dr\)

\(E(r^2) = \dfrac{3}{4} \int\limits^{15}_{13} \ r^2 (28r^3-r^4-195r^2)dr\)

\(E(r^2) = \dfrac{3}{4}[\dfrac{28 r^4}{4}-\dfrac{r^5}{5}-\dfrac{195r^3}{3}]^{^{15}}}__{13}\)

\(E(r^2) = \dfrac{3}{4} [ \dfrac{28 \times 50625}{4} - \dfrac{759375}{5} - \dfrac{195 \times 3375}{3} ]-[ \dfrac{28 \times 28561}{4} - \dfrac{371293}{5} - \dfrac{195 \times 2197}{3} ]\)

\(E(r^2) = \dfrac{3}{4} [ 354375-151875-219375-199927+74258.6+142805]\)

\(E(r^2) = \dfrac{3}{4} [261.6]\)

\(E(r^2) = 196.2\)

Recall:

The expected area of the resulting circular region  is:

= \(E(\pi r^2)\)

= \(\pi E (r^2)\)

where;

\(E(r^2) = 196.2\)

Then

The expected area of the resulting circular region  is:

= \(\pi \times 196.2\)

= 616.38 m²

We can use the logarithmic identity log_a(b) + log_a(c) = log_a(bc) to simplify the left side of the equation:

log_2(x) + log_4(x+1) = log_2(x) + log_2((x+1)^(1/2))

Using the rule log_a(b^c) = c*log_a(b), we can simplify further:

log_2(x) + log_2((x+1)^(1/2)) = log_2(x(x+1)^(1/2))

Now we can rewrite the equation as:

log_2(x(x+1)^(1/2)) = 3

Using the rule log_a(b^c) = c*log_a(b), we can rewrite this as:

x(x+1)^(1/2) = 2^3

Squaring both sides, we get:

x^2 + x - 8 = 0

This is a quadratic equation that can be solved using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 1, b = 1, and c = -8. Plugging in these values, we get:

x = (-1 ± sqrt(1^2 - 4(1)(-8))) / 2(1)

x = (-1 ± sqrt(33)) / 2

x ≈ -2.54 or x ≈ 3.54

However, we must check our solutions to make sure they are valid. Plugging in x = -2.54 to the original equation results in an invalid logarithm, so this solution is extraneous. Plugging in x = 3.54 yields:

log_2(3.54) + log_4(4.54) = 3

0.847 + 0.847 = 3

So x = 3.54 is the valid solution to the equation.

Answer:

Step-by-step explanation:

To get the current area of the park you must multiply by 15 the number of inches indicated on the map.

Answer: 3,348 cubic inches

Step-by-step explanation:

1. Since we know that volume= length x width x height, then we can plug our values into this equation.

2. So, we would do volume= 9 x 12 x 21.

3. 9 x 12 = 108, and 108 x 21 =2,268.

4. Now that we have both of the volumes, we have to add them together.

5. 1,080 + 2,268 = 3,348

6. The combined volume is 3,348 cubic inches.

Answer:

1000 tiles

Step-by-step explanation:

Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.

The the height of the bottom of the hold after second day is 1517.45 feet.

What is height?

Height is a way to measure someone or something from base to top or head to toe

Day 1 height = -\(32^{2}/12\) feet

Day 2 height = \(192^{2} /23\) more than first day

=36864/23+(-1024/12)

=1602.78-85.33

=1517.45 feet

Therefore, the height of the bottom of the hole after the second day is 1517.45 feet.

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Answer:

2 pounds

Step-by-step explanation:

$6= 12 pounds

$1= 12÷6=2

Hope this helps! Thanks.

The given equation is y + 2 = 2(x + 3) and the x-intercept is -2.

To find the x-intercept of the equation y + 2 = 2(x + 3), we need to set y equal to zero and solve for x. The x-intercept occurs when the value of y is zero, meaning the graph crosses the x-axis.

Let's substitute y with 0 in the equation:

0 + 2 = 2(x + 3)

Simplifying the equation:

2 = 2(x + 3)

Dividing both sides by 2:

1 = x + 3

Subtracting 3 from both sides:

-2 = x

The x-intercept is -2. This means that the graph of the equation y + 2 = 2(x + 3) crosses the x-axis at the point (-2, 0).

The x-intercept represents the value of x where the graph intersects or crosses the x-axis. In this case, it occurs when x is equal to -2, and the y-value is zero.

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A squared number is given by the product of a number by itself

and a cubed number is a number multiplied by itself 3 times

Answer:

2/6 or 33%

Step-by-step explanation:

Answer:

32

Step-by-step explanation: