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3 years ago

I'll give brainliest

Mathematics

1 answer:

aleksandrvk [35]3 years ago

4 0

Step-by-step explanation:

Given

< a = 145°

< a + < b = 180° { Being supplementary angles }

145° + < b = 180°

< b = 180° - 145°

< b = 35°

Hope it will help :)❤

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36, 27, <br> 81<br> 4<br> Find the 10th term.

zaharov [31]

a_{10} = \frac{177147}{65536} is solution of arithmetic progression (AP).

What is arithmetic progression (AP) in math?

The difference between any two consecutive numbers in an arithmetic progression (AP) is always a fixed amount.
The AP cost per invoice is calculated by dividing the total number of invoices paid over a certain time period by all the expenditures incurred to pay those invoices over that same time period.
An accurate assessment of a company's AP efficiency can be made using this metric in conjunction with other accounts payable measures.

Write the general term through the pattern $a_{n} = 36( \frac{3}{4} )^{n-1}$

Substitute and calculate $a_{10} = \frac{177147}{65536}$

Learn more about arithmetic progression (AP)

brainly.com/question/16947807

#SPJ13

4 0

1 year ago

What is the value of x? assume that the line is tangent to the circle

nekit [7.7K]

Answer:

70°

Step-by-step explanation:

Connect the center of the circle with endpoints of the chord. Let the center of the circle be point O and endpoints of the chord be points A (let point A lie on the tangent line too)and B.

From the figure, central angle AOB has the measure of 220°.

Consider triangle AOB. This triangle is isosceles triangle because OA and OB are both radii. In this triangle the measure of angle AOB is 360° - 220° = 140°.

Angles OAB and OBA are angles adjacent to the base AB, so they are congruent. The sum of the measures of all interior angles in triangle is always 180°, so

m∠OAB + m∠OBA + m∠AOB = 180°

m∠OAB = m∠OBA = 1/2 (180° - 140°)

m∠OAB = 20°

Since drawn line is tangent line, then OA is perpendicular to this tangent line and

x° = 90° - 20°

x° = 70°

4 0

3 years ago

In a southern state, it was revealed that 5% of all automobiles in the state did not pass inspection. what is the probability th

Jobisdone [24]

Fortune Battle Royale

8 0

3 years ago

You made two deposits to your bank accounts this month. One deposit was $17.92, and the second deposit was $15.33. Your balance

WITCHER [35]

$72.31 is the total amount AFTER ADDING TWO DEPOSITS

So, if we want to know the amount before deposits, we just need to take the total of previous two deposits

The expressions that show your balance would be

$72.31 – $17.92 – $15.33; $39.06

6 0

3 years ago

A cardboard box without a lid is to have a volume of 8,788 cm3. Find the dimensions that minimize the amount of cardboard used.

Montano1993 [528]

Answer:

x = y = 26 cm; z = 13 cm

Step-by-step explanation:

The generic solution for the minimum material in an open-top box is that the box is square and half as high as it is wide. It is half a cube of twice the volume.

The dimensions of the square base are ...

∛(2·8788 cm³) = 26 cm

Then the height is half that, or 13 cm.

x = y = 26 cm; z = 13 cm

_____

If you need to see the development, you can use the method of Lagrange multipliers to find the minimum area for the given volume;

area = xy +2(xz +yz)

volume = xyz = 8788

We require each of the partial derivatives of L with respect to x, y, z, and λ to be zero.

L = xy +2(xz +yz) +λ(xyz -8788)

partial with respect to x: 0 = y+2z +λyz

partial with respect to y: 0 = x +2z +λxz

partial with respect to z: 0 = 2x+2y +λxy

partial with respect to λ: 0 = xyz -8788

From the first two equations, we have ...

λ = (y +2z)/(yz) = 1/z +2/y

λ = (x +2z)/(xz) = 1/z +2/x

Equating these expressions for λ, we find ...

1/z +2/y = 1/z +2/x ⇒ x = y

The third equation then tells us ...

λ = (2x +2y)/(xy) = 2/y +2/x

Comparing this to either of the first two expressions for λ, we see ...

1/z +2y = 2/x +2/y ⇒ z = x/2

This is the result we started the answer with:

x = y = 2z = ∛(2·8788 cm³)

7 0

3 years ago

I'll give brainliest ​

I'll give brainliest