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Andrei [34K]
3 years ago
5

Simplify the expression sqrt21*(sqrt3+sqrt14)

Mathematics
2 answers:
arlik [135]3 years ago
7 0

√21*(√3+√14)=

=√(21*3)+ √(21*14)

=√(7*3²)+ √(3*7²*2)

=3√7+7√6

Firlakuza [10]3 years ago
5 0

Answer:

\sqrt[7]{6}  +  \sqrt[3]{7}  \\

Please see if you understand

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O is the centre of the circle, EF is a tangent, angle BCE = 28°, angle ACD = 31°
andriy [413]

Answer

a. 28˚

b. 76˚

c. 104˚

d. 56˚

Step-by-step explanation

Given,

∠BCE=28°  ∠ACD=31°  &  line AB=AC .

According To the Question,

  • a. the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment.(Alternate Segment Theorem) Thus, ∠BAC=28°

  • b. We Know The Sum Of All Angles in a triangle is 180˚, 180°-∠CAB(28°)=152° and ΔABC is an isosceles triangle, So 152°/2=76˚

        thus , ∠ABC=76° .

  • c. We know the Sum of all angles in a triangle is 180° and opposite angles in a cyclic quadrilateral(ABCD) add up to 180˚,

Thus, ∠ACD + ∠ACB = 31° + 76° ⇔ 107°

Now, ∠DCB + ∠DAB = 180°(Cyclic Quadrilateral opposite angle)

∠DAB = 180° - 107° ⇔ 73°

& We Know, ∠DAC+∠CAB=∠DAB ⇔ ∠DAC = 73° - 28° ⇔ 45°

Now, In Triangle ADC Sum of angles in a triangle is 180°

∠ADC = 180° - (31° + 45°)  ⇔  104˚

   

  • d. ∠COB = 28°×2 ⇔ 56˚ , because With the Same Arc(CB) The Angle at circumference are half of the angle at the centre  

For Diagram, Please Find in Attachment  

4 0
3 years ago
Which graph shows a negative rate of change for the interval 0 to 2 on the x-axis?
valentina_108 [34]

It seems that the four graphs are the same and they do not have a negative change rate in the interval 0 to 2 in the x-axis.

A negative change rate means that when x increases the value of the function (y) decreases; this is, the function is decreasing in the interval being estudied, which is the same that going downward.

So, you must look for in your graphs where the equation is going downward.

For example, in the graph attached, that happens in any interval from negative infitity to  1.5.

The vertex will help you to identify it.

Given that the graph goes downward from negative infinity to the vertex, any interval that includes that range will have negative change.

You must look for a parabola that opens upward and whose vertex is in x = 2.

Read more on Brainly.com - brainly.com/question/3774202#readmore

5 0
4 years ago
Read 2 more answers
The temperature in an oven changes from 350 degrees to 362% What is the percent increase in temperature, to the nearest tenth of
Darya [45]

Answer:

3.43%

Step-by-step explanation:

362-350=12

12:350*100 =

(12*100):350 =

1200:350 = 3.43

3 0
3 years ago
Sam needs enough wallpaper to cover an area that was 900 square inches . How many inches long of the wallpaper to the roll does
tigry1 [53]
Sam will need 30 rolls of 30 inches of paper
4 0
3 years ago
Which parent function is f(x) = x^2
Nadya [2.5K]

Answer:

C.

Step-by-step explanation:

the standard form of a QE is ax2+bx+c. This includes x squared, and when graphed, it forms the graph of a QE, a parabola.

Hope this helps!

4 0
3 years ago
Read 2 more answers
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