All categories

3 years ago

O ALGEBRAIC EQUATIONS AND INEQUALITIES

Mathematics

1 answer:

laila [671]3 years ago

8 0

Answer:

Mikhail is 50 years old.

Step-by-step explanation:

Let m represent how old Mikhail is.

110 = (m + 10) + m

Combine equal variables.

110 = 2m + 10

Get the variable alone by cancelling out the 10.

110 - 10 = 2m

Simplify.

100 = 2m

Divide.

m = 50

You might be interested in

Can someone help me solve (a) and (c) pls.<br>Thanks

Alex777 [14]

Answer:

Area of ABCD = 959.93 units²

Step-by-step explanation:

a). By applying Sine rule in the ΔABD,

$\frac{\text{SinA}}{46}=\frac{\text{Sin}\angle{DBA}}{35}$

$\frac{\text{Sin110}}{46}=\frac{\text{Sin}\angle{DBA}}{35}$

Sin∠DBA = $\frac{35\times \text{Sin}(110)}{46}$

m∠DBA = $\text{Sin}^{-1}(0.714983)$

m∠DBA = 45.64°

Therefore, m∠ADB = 180° - (110° + 45.64°) = 24.36°

m∠ADB = 24.36°

c). Area of ABCD = Area of ΔABD + Area of ΔBCD

Area of ΔABD = AD×BD×Sin( $\frac{24.36}{2}$ )

= 35×46Sin(12.18)

= 339.68 units²

Area of ΔBCD = BD×BC×Sin( $\frac{59.92}{2}$ )°

= 46×27×(0.4994)

= 620.25 units²

Area of ABCD = 339.68 + 620.25

= 959.93 units²

8 0

4 years ago

How many time larger is 9x10^-8 than 3x10^-12

kkurt [141]

Step-by-step explanation:

$\frac{9 \times 10 {}^{ - 8} }{3 \times 10 {}^{ - 12} }$

Apply Quoteint of Powers. Divide the intergers. serpately.

Note that Quotient of Powers is

$\frac{a {}^{x} }{a {}^{y} } = a {}^{x - y}$

So the answer is

$3 \times 10 {}^{ - 8 + 12} = 3 \times 10 {}^{4}$

The answer is

$3 \times 10 {}^{4}$

$30000$

3 0

3 years ago

Read 2 more answers

Plslslsllslslslslslalalalsllsls helpppppp

dybincka [34]

Answer:

You use the trigonometric ratio (see below for explanation & answer)

Step-by-step explanation:

$tan(50)=\frac{630}{d}$

$d=\frac{630}{tan(50)}$

$d= 528.6$

So, 528.6 is your answer. Have a great day! Hope I helped!

3 0

3 years ago

Please answer answer question answer

yuradex [85]

Answer:

346.38022

Step-by-step explanation:

Using Law of Sines, we know that v=50

$\frac{34}{sin(36)}=\frac{x}{sin(24)}$

Area = ab·sin(C) /2

[34x50xsin(24)]/2

=346.38022

3 0

4 years ago

Read 2 more answers

Consider this triangle. Which statements is true about the lengths of the sides?

blondinia [14]

Answer:

Option Two sides have the same length which is less than the length of the third side

Step-by-step explanation:

we know that

The right triangle of the figure has two legs and one hypotenuse

The length sides of the two legs are the same, because is a $45\°-90\°-45\°$ triangle

The third side is the hypotenuse and the hypotenuse is always greater that the legs

therefore

The answer is

Two sides have the same length which is less than the length of the third side

5 0

4 years ago

Read 2 more answers