Surface area helpp needed

Answer:

[tex]\frac{a^2^0b^5}{c^5d^3^0}[/tex]

Step-by-step explanation:

When one raises a value to an exponent, one can multiply the current value of the exponent by the number it is raised to. This is the case because raising a value to an exponent is another way of representing that value times itself the number of times that the exponent indicates. Remember, if no exponent is written, then the exponent is (1).

One can apply this here by multiplying every exponent in this problem by (5) since the fraction is raised to the power (5).

[tex](\frac{a^4b}{cd^6})^5[/tex]

[tex]=\frac{(a^4^*^5)(b^1^*^5)}{(c^1^*^5)(d^6^*^5)}[/tex]

Simplify,

[tex]=\frac{a^2^0b^5}{c^5d^3^0}[/tex]

Answer:

6381.4 cm²

Step-by-step explanation:

Applying,

A = n/2(a×h)................ Equation 1

Where A = Area of the regular polygon, n = number of sides of the polygon, a = length of one side of the polygon, h = length of the apothem

But,

a = 2htan∅.............. Equation 2

Where ∅ = angle substands at the center by the regular polygon.

∅ = 360/n.................... Equation 3

Substitute equation 3 into equation 2

a = 2htan(360/n)........... Equation 4

Substitute equation 4 into equation 1

A = n/2[2htan(360/n)×h).............. Equation 5

From the question,

Given: n = 6 side, h = 24.78 cm

Substitute these values into equation 5

A = 6/2[24.78×24.78×2×tan(360/6)]

A = 3[24.78×(24.78×2×tan60°)]

A = 6381.4 cm²

Answer:

19.2m

Step-by-step explanation:

"Slice" the rectangle into two right triangles (slice along the diagonal). Now you can use the Pythagorean theorem to calculate the length of the diagonal:

[tex]a^{2} +b^{2} =c^{2} \\12^{2}+15^{2} =c^{2} \\144+225=c^{2} \\\sqrt{369} =\sqrt{c^{2} }\\19.2m =c[/tex]

Answer:

Yes, Hamdan is correct.

Step-by-step explanation:

Let the two fractions are q/r and s/r.

Here, the denominator is same for both the fractions.

So, as we add them, add the numerators and the denominators remains same.

[tex]\frac{q}{r}+\frac{s}{r}\\\\=\frac{q + s}{r}[/tex]

For example

[tex]\frac{3}{5}+\frac{4}{5}\\\\=\frac{3 + 4}{5}\\\\=\frac{7}{5}[/tex]

So, Hamdan is correct.

Answer:

23 years

Step-by-step explanation:

Step 1: Calculate the rate constant (k) for the radioactive decay

A radioactive substance with initial concentration [A]₀ decays to 97% of its initial amount, that is, [A] = 0.97 [A]₀, after t = 1 year. Considering first-order kinetics, we can calculate the rate constant using the following expression.

ln [A]/[A]₀  = - k.t

k = ln [A]/[A]₀ / -t

k = ln 0.97 [A]₀/[A]₀ / -1 year

k = 0.03 year⁻¹

Step 2: Calculate the half-life of the substance

We will use the following expression.

[tex]t_{1/2}[/tex] = ln2/ k = ln 2 / 0.03 year⁻¹ = 23 years

Answer:

60–x (smaller )

Step-by-step explanation:

Sum of all 4 angles of a quadrilateral = 360°

(5x-30) + (3x + 60) + (60-x) +(4x+ 50) = 360°

(12x - x) + ( 170 - 30) = 360°

11x + 140 = 360°

11x = 360 - 140 = 220

x = 220/11 = 20°

Each angles is :

5x - 30 = 100 - 30 = 70°

3x+ 60 = 60 + 60 = 120°

60 - x = 60 - 20 = 40°

4x + 50 = 80 + 50 = 130°

Smallest of these angles is 40°

Answer:

The volume would be 7.5 in3

Hope this helps!

Brainliest??

Answer:

the volume is 7.85in³

Step-by-step explanation:

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 1 1/2 in. and the height is 10 in. . ... Therefore, the volume of the cylinder is about 7.85 in³.

HAVE A GOOD DAY

Answer:

Of course CD is higher then investing in T-bill

Answer:

Step-by-step explanation:

Answer:

x=49 or B)49

Step-by-step explanation:

its is a linear pair so that means it is equal to 180 degrees

you equation will be

x-18+149=180 simplify

x+131=180 subtract 131 from both sides

x=49

Full question attached(original question isn't clear)

Answer:

0.075

Explanation:

Probability is calculated by dividing number of favorable outcomes by total number of outcomes

Now given number of junior Nutrition major and then freshman non-Nutrition major are 8 and 11 respectively

Probability of choosing junior Nutrition major and then freshman non-Nutrition major at random= 8/total of nutrition major × 11/total of non-nutrition major

=8/30×11/39

=4/15×11/39= 44/585 =0.075

Answer:

2x+1

Step-by-step explanation:

f(g(x))= (2x)+1

(2)x+1

The solid - I'll call it R - is best described in spherical coordinates:

[tex]R = \left\{(\rho,\theta,\varphi) \mid \sqrt{a}\le\rho\le\sqrt{b}, 0\le\theta\le2\pi, 0\le\varphi\le\dfrac\pi4\right\}[/tex]

Then the volume of R is

[tex]\displaystyle\iiint_R\mathrm dV = \int_0^{\frac\pi4}\int_0^{2\pi}\int_{\sqrt a}^{\sqrt b}\rho^2\sin(\varphi)\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi \\\\\\ \displaystyle = \boxed{\frac{2\pi}3\left(b^{\frac32}-a^{\frac32}\right)\left(1-\dfrac1{\sqrt2}\right)}[/tex]

Answer:

1 miles= 1.609km

so, 25x1.609 = 40.225km

Answer:

Answer:

36.8 i think

Step-by-step explanation:

Answer:

61.92

Step-by-step explanation:

Step-by-step explanation:

Hey there!

The given series: -3,2,7,12,17,22.....

Common ratio (d) = t2-t1

= 2+3

= 5

No of terms (n) = 10

First term (a) = -3

Now;

[tex]sn = \frac{n}{2} (2a + (n - 1)d)[/tex]

Keeping all values we get;

[tex]s10 = \frac{10}{2} (2 \times - 3 + (10 - 1)5)[/tex]

Simplify it.

[tex]s10 = 5( - 6 + 45)[/tex]

or, S10 = 195.

Therefore, S10 = 195.

Hope it helps!

Answer:

Point estimate = 0.25

Step-by-step explanation:

Complete question

Calculate the point estimate

Solution

Let A represents the number of adult males who smoke cigarettes

Calculation of 95% confidence interval for proportion of adult males who smoke cigarettes

[tex]p-z_\alpha \frac{p(1-p)}{n}[/tex] , [tex]p+z_\alpha \frac{p(1-p)}{n}[/tex]

[tex]p-z_\alpha \frac{p(1-p)}{n} = 0.22\\p+z_\alpha \frac{p(1-p)}{n} = 0.28[/tex]

Point estimate

Adding the above given equations we get -

2 * p = 0.50

p = 0.25

Answer:

a1 = 1, a2 = 2Step-by-step explanation:

Answer:

the probability is a fraction or a percentage, some times even a decimal

Answer:

4 squareroot 2

Step-by-step explanation:

The answer is 4 squareroot 2

Answer:

1/6

is the probability

ok

Step-by-step explanation:

hi, this looks complicated, however, let's deal with it.

using sine rule,

we have,

a/sin A= c/sin C

4.83/sin 46= 5.5/sin C

cross multiply

4.83sin C=5.5sin 46

sin C= (5.5sin46)/4.83

sin C= 0.8191

C=sin inverse of 0.8191

C=54.99 approximately 55

since we have C, we can now find B to get b or rather AC

A+B+C=180. (sum of angles in a triangle)

46°+ B + 54.99°=180°

B+ 100.99°=180°

B°=180°-100.99°

B=79°

since we have B, we can find b or rather AC

using cosine rule,

b²=c²+a²-2 x c x a x cos B

b²= 5.5² + 4.83² - 2 x 5.5 x 4.83 x cos 79°

b²=30.25+23.33-53.13cos79

b²=53.58-10.14

b²=43.44

b=6.59 approximately 6.6

Answer:

I need more information to answer this

Answer:

Step-by-step explanation:

x+15+x+115+90=380 degree(sum of interior angles of four angles is 360 degree)

2x+220=360

2x=360-220

x=140/2

x=70 degree