a) Complete the table of values for x + y = 6
X
-2
-1
0
1
3
N
у

Answer:

10

Step-by-step explanation:

Answer:

this triangle is "obtuse

Step-by-step explanation:

Since sides 14 and 16 add up to 30, which is more than the third side, 27, we DO have a triangle here.  The sides of lengths 14 and 16 form an angle greater than 90 degrees, and so this triangle is "obtuse."  It's not a right triangle either, because the Pythagorean Theorem is not satisfied:  14^2 + 16^2 = 452, which is NOT 27^2.

Answer:

not sure no attachments but i think its 49 or 37 or both together 88

Step-by-step explanation:

Answer:

Hello! I know I am late but here is the answer for anyone else who might need it.

D. 1/2-i√3/2

Step-by-step explanation:

I got it right on edge. Hope this helps!

The value of given expression is [tex]\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex].

What is binomial theorem?

The expression of the form (a+b)^n is expand by binomial theorem.

The expansion is [tex](a+b)^{n}=\sum_{r=0}^{n}{ }^{n} C_{r} a^{n-r} b^{r}[/tex].

Use a=1/2 and b=[tex]b=\frac{i\sqrt{3} }{2}[/tex] into the expansion of binomial.

[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\sum_{k=0}^{5}\left(\begin{array}{l}5 \\k\end{array}\right)\left(\frac{1}{2}\right)^{5-k}\left(\frac{\sqrt{3} i}{2}\right)^{k}[/tex]

When k=0 then, [tex]\left(\begin{array}{l}5 \\0\end{array}\right)\left(\frac{1}{2}\right)^{5-0}\left(\frac{\sqrt{3} i}{2}\right)^{0}=\frac{5 !}{(5-0) ! 0 !}\left(\frac{1}{2}\right)^{5-0}\left(\frac{\sqrt{3} i}{2}\right)^{0}=\frac{1}{32}[/tex]

When k=1 then, [tex]\left(\begin{array}{l}5 \\1\end{array}\right)\left(\frac{1}{2}\right)^{5-1}\left(\frac{\sqrt{3} i}{2}\right)^{1}=\frac{5 !}{(5-1) ! 1 !}\left(\frac{1}{2}\right)^{5-1}\left(\frac{\sqrt{3} i}{2}\right)^{1}=\frac{5 \sqrt{3} i}{32}[/tex]

When k=2 then, [tex]\left(\begin{array}{l}5 \\2\end{array}\right)\left(\frac{1}{2}\right)^{5-2}\left(\frac{\sqrt{3} i}{2}\right)^{2}=\frac{5 !}{(5-2) ! 2 !}\left(\frac{1}{2}\right)^{5-2}\left(\frac{\sqrt{3} i}{2}\right)^{2}=-\frac{15}{16}[/tex]

When k=3 then, [tex]\left(\begin{array}{l}5 \\3\end{array}\right)\left(\frac{1}{2}\right)^{5-3}\left(\frac{\sqrt{3} i}{2}\right)^{3}=\frac{5 !}{(5-3) ! 3 !}\left(\frac{1}{2}\right)^{5-3}\left(\frac{\sqrt{3} i}{2}\right)^{3}=-\frac{15 \sqrt{3} i}{16}[/tex]

When k=4 then, [tex]\left(\begin{array}{l}5 \\4\end{array}\right)\left(\frac{1}{2}\right)^{5-4}\left(\frac{\sqrt{3} i}{2}\right)^{4}=\frac{5 !}{(5-4) ! 4 !}\left(\frac{1}{2}\right)^{5-4}\left(\frac{\sqrt{3} i}{2}\right)^{4}=\frac{45}{32}[/tex]

When k=5 then, [tex]\left(\begin{array}{l}5 \\5\end{array}\right)\left(\frac{1}{2}\right)^{5-5}\left(\frac{\sqrt{3} i}{2}\right)^{5}=\frac{5 !}{(5-5) ! 5 !}\left(\frac{1}{2}\right)^{5-5}\left(\frac{\sqrt{3} i}{2}\right)^{5}=\frac{9 \sqrt{3} i}{32}[/tex],

Now we will add all the results to get the expansion of given expression,

[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\frac{1}{32}+\frac{5 \sqrt{3} i}{32}-\frac{15}{16}-\frac{15 \sqrt{3} i}{16}+\frac{45}{32}+\frac{9 \sqrt{3} i}{32}[/tex]

On simplifying,

[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex]

Therefore, the value of given expression is [tex]\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex].

Learn more:https://brainly.com/question/13672615

#SPJ2

Answer:

The angle of elevation from the ground to the plane is 11.5 degrees

Step-by-step explanation:

Given -

Horizontal distance from the point of takeoff to which the plane flies in a straight line = 4000 feet

The vertical distance travelled from the ground to the plane is 800 feet

Angle of Elevation

[tex]Sin X= \frac{800}{4000} \\X = Sin^{-1}\frac{800}{4000}\\X = 11.5[/tex]

The angle of elevation from the ground to the plane is 11.5 degrees

Answer:

Vajsjke

Step-by-step explanation:

ggzodxkdfdjhs

Answer:

1

Step-by-step explanation:

For any triangle, you only need to know 3 pieces of information out of the 6 angles and sides to solve for the rest of the triangle.

Answer:

(x-3^2+y+2^2 =25

Step-by-step explanation:

Answer:

88 units

Step-by-step explanation:

[tex] In\: \triangle OBR \:\&\: \triangle OWN[/tex]

BR || WN (Given)

Therefore,

[tex] \angle OBR \cong \angle OWN[/tex] (Alternate angles)

[tex] \angle BOR \cong \angle WON[/tex] (Vertical angles)

[tex] \therefore \triangle OBR \sim \triangle OWN[/tex] (AA postulate)

[tex] \therefore \frac{OR}{ON} =\frac{BR}{WN} [/tex] (csst)

[tex] \therefore \frac{OR}{56} =\frac{24}{42} [/tex]

[tex] \therefore \frac{OR}{56} =\frac{4}{7} [/tex]

[tex] \therefore OR =\frac{4\times 56}{7} [/tex]

[tex] \therefore OR ={4\times 8} [/tex]

[tex] \therefore OR =32 [/tex]

RN = OR + ON

RN = 32 + 56

RN = 88 units

Answer:

6.00

Step-by-step explanation:

Answer:

15.87%

Step-by-step explanation:

We start with getting the z score

Mathematically , we have this as;

z-score = (x-mean)/SD

where x = 114

z-score = (114-100)/14 = 14/14 = 1

So we want to calculate the probability values that are greater than 1

We can use the standard normal distribution table

so we have P(z> 1) = 0.15866

in percentage, we multiply by 100 and that gives 15.866 which is 15.87 people

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

an=yearn−year−0.17n+0.34

Step-by-step explanation:

Answer:

68%

Step-by-step explanation:

17% × 4

68%

Answer: all you have to do is times length times width

which is 1 1/2x4 1/2 and then make it a decimal

Answer:

31.71 mm

Step-by-step explanation:

#1: Find V of cube

(L)(W)(H) = V

(3)(3)(3) = V

27= V

#2: Find V of the half sphere.

3 (diameter) × π = 9.42 (rounded)

9.42/2 (since 9.42 is the volume for a whole sphere)

=4.71

#3: 4.71+27= 31.71

:)

Answer:

0.8,0.91,1/10,3/100

0.6,0.9,0.21,0.35,7/10,11/100

0.2,0.5,1/10,0.44,8/100

Step-by-step explanation:

Answer:

0.8,0.91,1/10,3/100

0.6,0.9,0.21,0.35,7/10,11/100

0.2,0.5,1/10,0.44,8/100Step-by-step explanation: IVE DONE THIS BEFORE TOO

Answer1/4  hope this help

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

X= -8/3

Step-by-step explanation:

Answer:

The Monument is taller than the child by 174.125 meters

Step-by-step explanation:

The Monument in Santiago measures 175 meters. A child measures 87.5 centimeters.

Step 1

Convert child's height to meters

100cm = 1 m

87.5 cm = x

Cross Multiply

100cm × x = 87.5 cm × 1m

x = 87.5 cm × 1m/100cm

x = 0.875m

Step 2

How much is the Monument taller than the child?

This is calculated by subtracting Child's height from Monument height

= 175 m - 0.875m

= 174.125 m

Therefore, the Monument is taller than the child by 174.125 m

Answer:

The 16oz is a better deal

Step-by-step explanation:

32 = 2 * 16

buying 2 packages of 16 oz cost

0.79 * 2 = 1.58

1.58 < 2.09

The 16oz is a better deal

Answer:

The 16 oz package.

Step-by-step explanation:

Make the 16 oz a 32 oz so we can compare the prices

Mutiply 0.79 X 2 = 1.58

The 16 oz is because you can buy it twice making it a 32 oz for less than the orginal 32 oz.

(Compared side by side)

2.09 > 1.58

hope this helped!

Answer:

6 crickets

Step-by-step explanation:

First day:  20% of 10 is (.20)(10) = 2, so there were 10 - 2 = 8 crickets left.

Second day: 25% of 8 is (.25)(8) = 2, so there were 8 - 2 = 6 crickets left.

Answer: 8,500

Step-by-step explanation:

Answer:

8250 mL

Step-by-step explanation:

Multiply the volume value by 1000

Answer:

hmm,,,,,,

Step-by-step explanation:

Answer:

13.9 ft

Step-by-step explanation:

Since the triangle is a right triangle we can use pythagoreom theorm.

16^2=8^2+a^2 (a is the unknown side)

256= 64+a^2

192= a^2

Square root both sides and you get around 13.9 ft