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Alekssandra [29.7K]
3 years ago
8

Translate and solve: 47% of 312 is what number? Round to the nearest tenth.

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
8 0

Answer:

146.6

Step-by-step explanation:

0.47 * 312=146.64 when rounded to the nearest tenth that = 146.6

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Age at BBM 2019 Question Group 'A Brief answer questions; 1. Integrate the following: S(ax? + 2bx + c)3/2(2xa + 2b) dx 2.
worty [1.4K]

If the integral is

\displaystyle \int (ax^2+2bx+c)^{3/2}(2ax+2b)\,\mathrm dx

substitute u = ax^2+2bx+c and \mathrm du=(2ax+2b)\,\mathrm dx. Then you end up with

\displaystyle \int u^{3/2}\,\mathrm du = \frac25u^{5/2} + C

which in terms of <em>x</em> is

\boxed{\dfrac25(ax^2+2bx+c)^{5/2} + C}

4 0
2 years ago
Add: (3x2 - 5x + 6) + (9 - 8x - 4x2) A) 12x2 - 13x + 2 B) 7x2 + 3x - 3 C) 7x2 - 13x + 15 D) -x2 - 13x + 15
kati45 [8]

Answer:

D

Step-by-step explanation:

So we have the expression:

(3x^2-5x+6)+(9-8x-4x^2)

Combine like terms:

=(3x^2-4x^2)+(-5x-8x)+(6+9)

Add or subtract:

=(-1x^2)+(-13x)+(15)

Simplify:

=-x^2-13x+15

Our answer is D

4 0
2 years ago
–2x + y = 3 2x – y = 4 Using elimination to solve this system results in the equation .
tankabanditka [31]

Answer:

1 = x and -2 = y

I am fairly happy with this answer

6 0
2 years ago
Trapezoids and kites
lisov135 [29]

QUESTION 3

The sum of the interior angles of a kite is 360\degree.

\Rightarrow 36\degree +70\degree+m.

\Rightarrow 106\degree+m.

\Rightarrow m.

\Rightarrow m.

But the two remaining opposite angles of the kite are congruent.

\Rightarrow m

\Rightarrow m.

\Rightarrow 2m.

\Rightarrow m.

\Rightarrow m.

QUESTION 4

RH is the hypotenuse of the right triangle formed by the triangle with side lengths, RH,12, and 20.

Using the Pythagoras Theorem, we obtain;

|RH|^2=12^2+20^2

|RH|^2=144+400

|RH|^2=544

|RH|=\sqrt{544}

|RH|=4\sqrt{34}

QUESTION 5

The given figure is an isosceles trapezium.

The base angles of an isosceles trapezium are equal.

Therefore m

QUESTION 6

The measure of angle Y and Z are supplementary angles.

The two angles form a pair of co-interior angles of the trapezium.

This implies that;

m

\Rightarrow m

\Rightarrow m

QUESTION 7

The sum of the interior angles of a kite is 360\degree.

\Rightarrow 48\degree +110\degree+m.

\Rightarrow 158\degree+m.

\Rightarrow m.

\Rightarrow m.

But the two remaining opposite angles are congruent.

\Rightarrow m

\Rightarrow m.

\Rightarrow 2m.

\Rightarrow m.

\Rightarrow m.

QUESTION 8

The diagonals of the kite meet at right angles.

The length of BC can also be found using Pythagoras Theorem;

|BC|^2=4^2+7^2

\Rightarrow |BC|^2=16+49

\Rightarrow |BC|^2=65

\Rightarrow |BC|=\sqrt{65}

QUESTION 9.

The sum of the interior angles of a trapezium is 360\degree.

\Rightarrow m.

\Rightarrow m.

But the measure of angle M and K are congruent.

\Rightarrow m.

\Rightarrow m.

\Rightarrow m.

\Rightarrow m.

6 0
3 years ago
A worker at a snack stand opened a new box of cups. The first day he used 30 cups , the second day the worker used 15 percent of
Sholpan [36]

Answer:

Step-by-step explanation:

the first day he used 30 cups

the second day he used 15% of the remaining cups...a total of 90 cups were used on second day.

so 15%of the remaining cups = 90.....so if u let x be the total cups, then the remaining cups would be x - 30

15% of (x - 30) = 90.....turn ur percent to a decimal..." of " means multiply

0.15(x - 30) = 90

0.15x - 4.5 = 90

0.15x = 90 + 4.5

0.15x = 94.5

x = 94.5 / 0.15

x = 630 total cups <==

lets check..

start with 630 cups....used 30 the first day....leaving u with 600 cups....15% of the remaining cups = 90.....so 15% of 600 = 90....lets check it

15%of 600 = 0.15(600) = 90...yep, thats correct....there were 630 cups in the new un-opened box

5 0
3 years ago
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