All categories

2 years ago

ABCD is a quadrilateral Work out the length of BC Give your answer to 1 decimal place

Mathematics

1 answer:

Likurg_2 [28]2 years ago

5 0

Answer:

8.1

Step-by-step explanation:

Use Pythagoras to find the length of BD- 7.5^2 +5^2=81.25

The square root of 81.25 is 9.01

BD-9.01 cm

Then use the cos rule to find BC.

c=a2+b2﹣2abcosγ=9.012+132﹣2·9.01·13·cos(38°)≈8.09819(square root)

round to 8.1

You might be interested in

What is the area of angle ABC? Round to the nearest tenth

otez555 [7]

Area formula: L · W · H
Length: 0.5
Width: 5
Height: 5

Answer: 12.5²

(It's squared because 5√2 contains a square root.)

5 0

3 years ago

Graph y > -1/3x+5<br><img src="https://tex.z-dn.net/?f=y%20%3E%20%20-%20%20%5Cfrac%7B1%7D%7B%203%20%7D%20x%20%2B%205" id="Tex

ad-work [718]

Explanation:

The function is $y>-\frac{1}{3} x+5$

To graph the function, let us find the x and y intercepts.

To find x-intercept, let us substitute y=0 in the function $y>-\frac{1}{3} x+5$

$\begin{aligned}0 &=-\frac{1}{3} x+5 \\-5 &=-\frac{1}{3} x \\x &=15\end{aligned}$

Thus, the x-intercept is $(15,0)$

To find the y-intercept, let us substitute x=0, we get,

$\begin{aligned}&y=-\frac{1}{3}(0)+5\\&y=5\end{aligned}$

Thus, the y-intercept is $(0,5)$

The graph has no asymptotes.

To plot the points in the graph, we need to substitute the values for x in the function $y>-\frac{1}{3} x+5$ , to find the y-values.

The points are $(-2,5.667),(-1,5.333),(1,4.667),(2,4.333),(3,4)$ . The image of the graph and table is attached below:

6 0

2 years ago

Find the length of the hypotenuse of a right triangle with legs of lengths 12 ft and 16 ft answer

Finger [1]

Use Pythagorus theorem:

a²+b²=c²
(12)²+(16)²=c²
400=c²
√400=c
20=c

Therefore, the hypotenuse would be 20 ft.

Hope I helped :)

8 0

2 years ago

What is 4/7 divided by 5

Lana71 [14]

Answer:

4/7/(5)=4/(7×5)=4/35

6 0

2 years ago

Determine the x and y intercepts <br><br> y = -x^2 + 6x - 8

Andrews [41]

Y intercept is negative 8

4 0

3 years ago