What fraction is equivalent to 123.5%

The area of a triangle is 15x^4+3x^3+4x^2-x-3 square meters. The length of the base of the triangle is 6x^2-2 meters. What is th

MArishka [77]

Answer:

The height of the triangle is: $H = (5x^2 + x +3)$

Step-by-step explanation:

Here, the area the triangle is given as: $15x^4 + 3x^3 + 4x^2 - x - 3$

Also, base of the triangle = $(6x^2 -2)$

Let us assume the height of the triangle = H units

Now, AREA of TRIANGLE = $\frac{1}{2} \times B \times H$

$\implies (15x^4+3x^3+4x^2-x-3 ) = \frac{1}{2} \times ( 6x^2-2) \times H\\\implies H =\frac{ (15x^4+3x^3+4x^2-x-3 )}{(3x^2-1)}$

Solving by LONG DIVISION, we get:

$H = (5x^2 + x +3)$

Hence, the height of the triangle is: $H = (5x^2 + x +3)$

6 0

4 years ago

Find the probability of drawing a king from a standard deck of cards and then drawing a queen after the first card is replaced i

olga nikolaevna [1]

Answer:

1/169

Step-by-step explanation:

In a standard deck of cards, there are 4 kings and 4 queens, and there is a total of 52 cards. Probability is defined by the formula the number of desirable outcomes over the total outcomes. In the first draw, we have 52 total outcomes and 4 desirable (the 4 kings) that equal the fraction 4 / 52 or 1/13. We can do the same to find the probability of picking a queen next with replacement. That would equal 1/13 as well. The two events are independent because you are drawing the cards with replacement. Using the probability of independent events, the product of the probabilities at each stage is the answer: 1/13 * 1/13 = 1/169

8 0

3 years ago

Custom drapes are being fitted for a large circular window. It is difficult to get these measurements, but the window has an 8 f

Arlecino [84]

Answer: 10 ft.

Step-by-step explanation:

Given: Custom drapes are being fitted for a large circular window.

The window has an 8 ft horizontal shelf with a 2 ft brace that sits in the frame.

Since the brace is extended upward, it would go through the center of the shelf and the circle.

Then the diameter of the circle= the measurement og f horizontal shelf + measurement of brace=8+2=10 ft

Hence, the diameter of the window =10 ft.

6 0

3 years ago

Read 2 more answers

At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric

olya-2409 [2.1K]

Answer:

(1204 ; 1288) ;

(1162 ; 1330) ;

(1120 ; 1372)

Step-by-step explanation:

Given that:

Mean, m = 1246 years

Standard deviation, s = 42 years

68% is within one standard deviation the mean ;

Therefore 68% equals ;

mean ± 1(standard deviation)

(1246 - 1(42)) ; (1246 + 1(42))

1204 ; 1288

B) b. a range of years centered 95% about the mean in Which about Of the data (tree-ring dates) will be found between______ and ________ A.D.

95% is within two standard deviation of the mean ;

Therefore 95% equals ;

mean ± 2(standard deviation)

(1246 - 2(42)) ; (1246 + 2(42)

(1246 - 84) ; (1246 + 84)

(1162 ; 1330)

c. a range of years centered about the mean in Which almost all the data (tree-ring dates) Will be found between_____ and A.D.

About 99.7% which is within 3 standard deviations of the mean

99.7% is within 3 standard deviations of the mean ;

Therefore ;

mean ± 3(standard deviation)

(1246 - 3(42)) ; (1246 + 3(42))

(1120 ; 1372)

4 0

3 years ago

PLS HELP ASAP‼️‼️ i need pleaseeeeeee

-Dominant- [34]

Answer:

-2x^4 - 6x^3 - 8x^2

Step-by-step explanation:

4 0

3 years ago