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2 years ago

30. 3 x (5 + 6) = 3333. 14 - (8 - 2) - 1 =36. (3 + 2) × (4 + 6) =39. 6 x 4 + 5) =

Mathematics

1 answer:

Vanyuwa [196]2 years ago

7 0

Answer:

39. 29

36. 50

33. 7

30. 33

Step-by-step explanation:

39. According to the Order of Operations, in this case, Subtraction & Addition are evaluated after Division & Multiplication:

$6 \times 4 + 5 = 24 + 5 = 29$

36. Evaluate everything since everything is wrapped in parentheses:

$(3 + 2) \times (4 + 6) = 5 \times 10 = 50$

33. Evaluate everything inside of parentheses FIRST:

$14 - (8 - 2) - 1 = 14 - 6 - 1 = 7$

I am joyous to assist you anytime.

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How to find two fractions between 3/5 and 4/5

Setler79 [48]

You would have to change the fifths to a different denominator

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2 years ago

Consider the following planes. x + y + z = 6, x + 7y + 7z = 6 (a) Find parametric equations for the line of intersection of the

Lelechka [254]

Answer:

a. $x=6,y=-6t,z=6t$

b. $\theta=29.5^{\circ}$

Step-by-step explanation:

We are given that

$x+y+z=6$

$x+7y+7z=6$

a.Substitute z=0

$x+y=6$ ...(1)

$x+7y=6$ ..(2)

Subtract equation (1) from equation (2)

$6y=0$

$y=0$

Substitute y=0 in equation(1)

$x=6$

The point (6,0,0) lie on a line.

$r_0=(x_0,y_0,z_0)=(6,0,0)$

Let $A=$

$B=$

$A\times B=\begin{vmatrix}i&j&k\\1&1&1\\1&7&7\end{vmatrix}$

$A\times B=i(7-7)-j(7-1)+k(7-1)=-6j+6k$

Therefore, the vector $a'=(a,b,c)=$

Line is parallel to vector a' and passing through the point (6,0,0).

The parametric equation is given by

$x=x_0+at,y=y_0+bt,z=z_0+ct$

Using the formula

The parametric equation is given by

$x=6,y=-6t,z=6t$

Angle between two plane

$a_1x+b_1y+c_1z=d_1$

and $a_2x+b_2y+c_2z=d_2$

$cos\theta=\frac{(a_1,b_1,c_1)\cdot (a_2,b_2,c_2)}{\sqrt{a^2_1+b^2_1+c^2_1}\cdot \sqrt{a^2_2+b^2_2+c^2_2}}$

Using the formula

$cos\theta=\frac{(1,1,1)\cdot(1,7,7)}{\sqrt{1+1+1}\times \sqrt{1+7^2+7^2}}$

$cos\theta=\frac{1+7+7}{\sqrt 3\times 3\sqrt{11}}$

$cos\theta=\frac{15}{3\sqrt{33}}}=\frac{5}{\sqrt{33}}$

$\theta=cos^{-1}(0.87)=29.5^{\circ}$

Where $\theta$ in degree.

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2 years ago

1+1 is 2 right? i just have to be sure

netineya [11]

Answer:

Absolutely

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

4 tons, 568 pounds = ____ pounds

Alisiya [41]

Answer:

8568

Step-by-step explanation:

4tons:8000 pounds

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8 0

2 years ago

Drag each expression to show whether it is equivalent to 54x + 18 or<br> (6 · 9x) + (6 · 1).

NikAS [45]

Answer:

The first one should belong in the 54x+18 due to multiplication

The second answer choice has distributive property which has to belong in the 54x+18 category

The third answer choice fits into the 6 times 9x + 6 times one category due to multiplication like the first answer choice.

The last one should be in the 54x+18 category because of the distributive property

Step-by-step explanation:

The Objectives: 54x+18 and (6(9x) + 6

The first one should belong in the 54x+18 due to multiplication

The second answer choice has distributive property which has to belong in the 54x+18 category

The third answer choice fits into the 6 times 9x + 6 times one category due to multiplication like the first answer choice.

The last one should be in the 54x+18 category because of the distributive property

6 0

2 years ago

30. 3 x (5 + 6) = 3333. 14 - (8 - 2) - 1 =36. (3 + 2) × (4 + 6) =39. 6 x 4 + 5) =​

30. 3 x (5 + 6) = 3333. 14 - (8 - 2) - 1 =36. (3 + 2) × (4 + 6) =39. 6 x 4 + 5) =