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2 years ago

Can someone please help me help me pls

Mathematics

1 answer:

lord [1]2 years ago

8 0

This is easy onystly I think you should do it your self but the answer is number b

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Fine length of BC on the following photo.

MrMuchimi

Answer:

$BC=4\sqrt{5}\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ACD

Find the length side AC

Applying the Pythagorean Theorem

$AC^2=AD^2+DC^2$

substitute the given values

$AC^2=16^2+8^2$

$AC^2=320$

$AC=\sqrt{320}\ units$

simplify

$AC=8\sqrt{5}\ units$

step 2

In the right triangle ACD

Find the cosine of angle CAD

$cos(\angle CAD)=\frac{AD}{AC}$

substitute the given values

$cos(\angle CAD)=\frac{16}{8\sqrt{5}}$

$cos(\angle CAD)=\frac{2}{\sqrt{5}}$ ----> equation A

step 3

In the right triangle ABC

Find the cosine of angle BAC

$cos(\angle BAC)=\frac{AC}{AB}$

substitute the given values

$cos(\angle BAC)=\frac{8\sqrt{5}}{16+x}$ ----> equation B

step 4

Find the value of x

In this problem

$\angle CAD=\angle BAC$ ----> is the same angle

equate equation A and equation B

$\frac{8\sqrt{5}}{16+x}=\frac{2}{\sqrt{5}}$

solve for x

Multiply in cross

$(8\sqrt{5})(\sqrt{5})=(16+x)(2)\\\\40=32+2x\\\\2x=40-32\\\\2x=8\\\\x=4\ units$

$DB=4\ units$

step 5

Find the length of BC

In the right triangle BCD

Applying the Pythagorean Theorem

$BC^2=DC^2+DB^2$

substitute the given values

$BC^2=8^2+4^2$

$BC^2=80$

$BC=\sqrt{80}\ units$

simplify

$BC=4\sqrt{5}\ units$

7 0

2 years ago

Anyone know the answer ?

Likurg_2 [28]

Answer: see where the two lines intercept and when you get the answer, look to see which region is is the closest to the answer but if you look closer region A is closer plus open/Search a graph and put y>-x in the first box and put y<x-2 in second box to see where is intercept at the you get your answer, but region A is the answer you do need.

Step-by-step explanation:

6 0

2 years ago

Find the gradient of the line 2x+7y=14

Alex777 [14]

Answer:

-2/7

Step-by-step explanation:

2x+7y=14

7y=-2x+14

divide by 7

y=-2/7 x+2

4 0

2 years ago

The areas of two similar triangles are 9cm2, and 49cm2. One of the sides of the first triangle is 2cm. What is the length of the

BlackZzzverrR [31]

Answer:

4 2/3 cm

Step-by-step explanation:

When we have area, it is the related to the scale factor by the scale factor squared

Area large/ area of small = 49/9

Take the square root

sqrt(49/9) = 7/3

The scale factor is 7/3 large to small

The small side is 2 cm

large 7 x cm

-------- = ------ = -----------

small 3 2 cm

Using cross products

7*2 = 3x

Divide by 3

14/3 = 3x/3

14/3 = the large side

4 2/3 cm

3 0

2 years ago

Which is equal to (2x − 3y + 5z) − (−4x − y + 8z)?

Fittoniya [83]

(2x - 3y + 5z) - (-4x - y + 8z)
= 2x - 3y + 5z + 4x + y - 8z
= 6x - 2y - 3z

In short, Your Answer would be Option D

Hope this helps!

8 0

2 years ago