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3 years ago

This answer is the one I need to know

Mathematics

1 answer:

spayn [35]3 years ago

3 0

The answers for the problems are: 6. -18
9. 6
12. -40

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I need help its my homework and it's due today Find the base angles.

MrRa [10]

Answer:

Each base angle would be 70°.

Step-by-step explanation:

*Base angles means the two equal angles formed on the base are called base angles.

Base means the third unequal side of the triangle. *

Given triangle is isosceles triangle.

The angle of vertex which is given is 40°.

Let each base angle be x.

We know that,

There are two base angles in a isosceles triangle.

And, Sum of angles of triangle is 180° .

Therefore,

$\tt \implies \: x + x + 40 {}^{ \circ} = 180 {}^\circ$

Now Solve For x. That would be the solution.

Steps:

Combine like terms:

$\tt \implies2x + 40{}^{ \circ} = 180{}^{ \circ}$

Subtract 40 from both sides:

$\tt \implies2x + 40{}^{ \circ} - 40 = 180{}^{ \circ} - 40{}^{ \circ}$

Simplify the LHS and RHS:

$\tt \implies2x + 0 = 140{}^{ \circ}$

$\tt \implies2x = 140 {}^{ \circ}$

Divide both sides by 2:

$\tt \implies \cfrac{2x}{2} = \cfrac{140{}^{ \circ} }{2{}^{ \circ} }$

Use cancellation method and cancel LHS and RHS:

$\tt \implies \cfrac{ \cancel2x}{ \cancel2} = \cfrac{ \cancel{140^{ \circ}} }{ \cancel{2{}^{ \circ} }}$

$\tt \implies \cfrac{1x}{1} = \cfrac{70{}^{ \circ} }{1{}^{ \circ} }$

$\tt \implies{1x} = {70}^{ \circ}$

$\tt \implies{x} = 70{}^{ \circ}$

Hence, each base angle would be 70°.

Verification:

As we know that sum of angles of triangle is 180°.

So,

$\tt \implies \: Base \: angle + other \: base \: angle + vertex \: angle= 180{}^{ \circ}$

We got that one base angles of the given isosceles triangle is 70° and other is 70°, and the vertex angle is 40°[Given].

$\tt \implies70{}^{ \circ} + 70{}^{ \circ} + 40{}^{ \circ} = 180{}^{ \circ}$

Solve it.

$\tt \implies140{}^{ \circ} + 40{}^{ \circ} = 180{}^{ \circ}$

$\tt \implies180{}^{ \circ} = 180{}^{ \circ}$

$\tt \: LHS = RHS$

$\star \sf \: Hence, Verified.$

$\rule{225pt}{2pt}$

I hope this helps!

Let me know if you have any questions.

4 0

2 years ago

Read 2 more answers

Which strategy uses place value to correctly solve for 321 x 4?

Dmitry_Shevchenko [17]

Answer:

300x4 =1200

20x4 = 80

1x4 =8

1288

Step-by-step explanation:

Break apart 321 = 300+20+ 1

This is the hundreds, tens, and ones

Then multiply each by 4

Add all together to get answer

5 0

3 years ago

Sabiendo que cada persona unos 4 500 000 glóbulos rojos por milímetro cúbico y que su cantidad de sangre es de 5 litros A) Que l

love history [14]

Answer:

Part A) distance covered by the aligned red cells is: 180000 Km

Part B) 8000000 bacteria (8 million bacteria)

Step-by-step explanation:

Part A)

Let's first find the total number of red cells that the person has in the 5 liters, knowing that there are 4,500,000 of them in a cubic millimetre:

Since 1 liter contains 1,000,000 cubic millimetres, then, in 5 liters there must be 5 times that number of cubic millimetres. That is a total of 5,000,000 cubic millimetres.

Since in each cubic millimetre there are 4,500,000 red cells, then the number of red cells in the 5 liters must be the product of these two quantities:

4,500,000 x 5,000,000 = 22,500,000,000,000 red blood cells.

Now, to find the distance they will cover aligned one after the other, knowing that their average diameter is 0.008 mm is:

22,500,000,000,000 x 0.008 mm= 180000000000 mm

$22.5\,\,10^{12} * 8\,\,10^{-3}=1.8\,\,10^{11}$ mm

In order to convert this distance into Km as requested, we use the fact that 1 mm = 0.000001 Km, or using exponents in base ten:

1 mm = $10^{-6}\,\,Km$

Then, the distance covered in kilometers is:

$1.8\,\,10^{11}\,*\,10^{-6} \,\,Km=1.8\,\,10^{5}\,\,Km=180000\,\,Km$

Part B)

The vaccine contains a total of $10^8$ bacteria per $cm^3$

In order to find how many bacteria we have in 80 $mm^3$ of the vaccine, we first need to convert 80 $mm^3$ into $cm^3$ :

$80\,\, mm^3 = 0.08 \,\,cm^3$

Then, if in one $cm^3$ there is $10^8$ bacteria, in $0.08\,\,cm^3$ there would be: $0.08\,*\,10^8$ bacteria. That is: $8\,\,10^6$ bacteria = 8000000 bacteria (eight million bacteria)

8 0

3 years ago

Find the equations of all lines tangent to y = 9–x^2 that pass through the point (1, 12). ...?

Oksanka [162]

The slope of the tangent at a given point can be found by differentiating the given equation and substituting the value of x at the point as such:
y = 9 - x²
dy/dx = -2x; x = 1
dy/dx = -2

For a line with the slope of -2 and passing through point (1 , 12)
y -12 = -2(x - 1)

4 0

3 years ago

euben's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Reuben $5.70 per pound, and type

Kobotan [32]

Answer:

The quantity of type A coffee is 73 pounds

The quantity of type B coffee is 94 pounds .

Step-by-step explanation:

Given as :

The price of Type A coffee costs = $ 5.70 per pound

The price of Type B coffee costs = $ 4.30 per pound

The total quantity of coffee does Reuben purchases = 167 pounds

The total cost of the coffee for 167 pounds = $ 820.30

Let The quantity for type A coffee = a pounds

And The quantity of type B coffee = b pounds

Now, According to question

a + b = 167 pounds And

$ 5.70 × a + $ 4.30 × b = $ 820.30

Now solving equations

5.70 × ( a + b ) = 5.70 × 167

or, 5.70 a + 5.70 b = 951.9

Now ,

( 5.70 a + 5.70 b ) - ( 5.70 a + 4.30 b ) = 951.9 - 820.30

or, ( 5.70 a - 5.70 a ) + ( 5.70 b - 4.30 b ) = 131.6

Or, 0 + 1.4 b = 131.6

∴ b = $\frac{131.6}{1.4}$

I.e b = 94 pounds

Put the value of b to get a value

So, a = 167 pounds - b

Or, a = 167 - 94

∴ a = 73 pounds

Hence The quantity of type A coffee is 73 pounds

And The quantity of type B coffee is 94 pounds . Answer

4 0

4 years ago