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2 years ago

What is the sum? Thank you!

Mathematics

2 answers:

Daniel [21]2 years ago

5 0

Answer:

1835014

Step-by-step explanation:

Nady [450]2 years ago

4 0

Answer:

2097150

Step-by-step explanation:

sum=(2(1-1048576))/(1-2)

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Find the distance between the points (8,1) and (2,10). Round decimals to the nearest tenth.

miss Akunina [59]

The nearest distance between the points (8,1) and (2,10) is 11 units, which is mentioned in and also calculated by using formula.

Step-by-step explanation:

The given is,

Two points are (8,1) (2,10)

Step: 1

By graphical method, refer the attachment,

First point (8,1)

The values of x=8 and y=1 noted in the graph

Second point (2,10)

The values of x=2 and y=10 noted in the graph

Now join the two points (8,1) and (2,10)

Measure the distance between two points, the distance is 11 units. Due to some error the value becomes 10.98 or 11.1 we need to convert the answer into nearest whole number.

( OR )

Step:1

By formula method,

Distance = $\sqrt{(x_{2} - x_{1} )^{2} +(y_{2} - y_{1} )^{2} }$ .....................(1)

Where,

(8,1) are ( $x_{1},y_{1}$ )

(2,10) are ( $x_{2},y_{2}$ )

From the equation,

= $\sqrt{(2 - 8 )^{2} +(10 - 1 )^{2} }$

= $\sqrt{(-6 )^{2} +(9 )^{2} }$

= $\sqrt{36 +81 }$

= $\sqrt{117}$

= 10.81665

≅ 11 ( Answer convert to the nearest tenth)

Distance = 11 units

Result:

The nearest distance between the points (8,1) and (2,10) is 11 units, which is mentioned in and also calculated by using formula.

5 0

3 years ago

47 1/2 of what number is 190

Grace [21]

$47 \frac{1}{2} \cdot x=190\\ \\ \frac{47\cdot2+1}{2} \cdotx=190\\ \\ \frac{95}{2} \cdot x=190\ /\cdot \frac{2}{95} \\\\x= \frac{190}{1} \cdot \frac{2}{95}\\ \\x=2\cdot2\\ \\x=4$

3 0

3 years ago

Read 2 more answers

Prove the identity.

Delvig [45]

Answer:

D. Pythagorean

Step-by-step explanation:

Given the identity

cos²x - sin²x = 2 cos²x - 1.

To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.

Starting from the left hand side

cos²x - sin²x ... 1

According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:

x = rcostheta

y = rsintheta

Substituting into the Pythagoras firnuka we have

(rcostheta)²+(rsintheta)² = r²

r²cos²theta+r²sin²theta = r²

r²(cos²theta+sin²theta) = r²

(cos²theta+sin²theta) = 1

sin²theta = 1 - cos²theta

sin²x = 1-cos²x ... 2

Substituting equation 2 into 1 we have;

= cos²x-(1-cos²x)

= cos²x-1+cos²x

= 2cos²x-1 (RHS)

This shows that cos²x -sin²x = 2cos²x-1 with the aid of PYTHAGORAS THEOREM

5 0

3 years ago

You dispense a quantity of 180 tablets for a prescription written for Ibuprofen 800mg to be taken by mouth 3 times a day. How ma

kap26 [50]

You have 180 tablets right? You also have to take it three times a day.

180 pills /3 pills a day = 60 days

3 0

2 years ago

.........................

Zigmanuir [339]

Answer:

Step-by-step explanation:

given 3xy + 4yz + 8xz = 10

subtract 8xz from both sides leaving the terms in y together

3xy + 4yz = 10 - 8xz

take out the common factor y on the left side

y(3x + 4z) = 10 - 8xz

divide both sides by (3x + 4z)

y = $\frac{10-8xz}{3x+4z}$ → A

5 0

3 years ago