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Aneli [31]
3 years ago
7

In the diagram, AB:BC is 3:4 and AC:42 Find BC

Mathematics
1 answer:
Afina-wow [57]3 years ago
6 0
From the diagram:
AB + BC = AC
we know that AC = 42, therefore:
AB + BC = 42 ..............> equation I

We know that the ratio AB:BC is 3:4. This means that:
AB/BC = 3/4
4AB = 3BC
AB = (3/4) BC ...............> equation II

Substitute by equation II in equation I to get BC as follows:
(3/4) BC + BC = 42
1.75 BC = 42
BC = 24

Substitute with the value of BC in equation II to get AB as follows:
AB = (3/4) * 24 = 18

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Please help ASAP help please due soon
Lunna [17]

Answer:

75 in^2

Step-by-step explanation:

The surface area is the sum of the areas

Area of the square:

A = s^2 = 5^2 =25

Area of one triangle

A = 1/2 bh = 1/2 (5)(5) = 25/2

There are 4 triangles

4* (26)/2 = 50

The sum is 25+50 = 75

8 0
3 years ago
Read 2 more answers
I’m having trouble understanding how to solve this someone please help ASAP thank you!
vladimir2022 [97]

Answer:

Answer is 71.95°

Step-by-step explanation:

Cosine formula is

a^2=b^2+c^2-2bc(cosA)

cos A =b^2+c^2-a^2/2bc

if a= 119,b=94,c=173

cos A=94^2+173^2-119^2/2(94*173)

=8836+29,929-14,161/2(16,262)

=38765-14,161/32,524

=24604/32,524

=0.7564

cos A=0.7564

cos^-1=40.85°.that's for angle A.

Using the same formula

B=31.1°

C=180-(40.85+31.1)

C=180-71.95

C=108.05

Since angle on a straight line is 180

therefore x is 71.95

Also the sum of angles A and B

3 0
1 year ago
How many orders of magnitude is $1000 than a nickel?
Leto [7]
I'm pretty sure it is a $20 bill...

Hope this helped :D good luck!!! have a nice day. :D
7 0
3 years ago
Read 2 more answers
WHAT IS THE PRODUCT OF: 7.21 x 4.2<br> PLEASE--
lesantik [10]
<h3><u>QU</u><u>ESTION</u><u>:</u></h3>

WHAT IS THE PRODUCT OF: 7.21 x 4.2

PLEASE--

<h3>SOLUTION AND ANSWER:</h3>

\:  \:  \:  \:  \sf7.2 \: 1 \\ \sf \times \:  \:  \:  \:  4.2 \\ \:  \:    \sf \overline{1 \: 4 \: 4 \: 2}  \\  \sf +  \: 2 \: 8 \: 8 \: 4 \: 0 \:  \:  \:  \:  \:    \\  \sf \overline{ \orange{3 \: 0.2 \: 8 \: 2}}

THEREFORE, <em><u>30.282</u></em> IS THE PRODUCT

HOPE THIS HELP YOU! HAVE A NICE DAY!

~kimtaetae92~

NOTE: Kindly see this answer from brainly app if you are in web to see the displayed formats here.

7 0
2 years ago
Find the exact value of cos theta​, given that sin thetaequalsStartFraction 15 Over 17 EndFraction and theta is in quadrant II.
vova2212 [387]

Answer:

cos \theta = -\frac{8}{17}

Step-by-step explanation:

For this case we know that:

sin \theta = \frac{15}{17}

And we want to find the value for cos \theta, so then we can use the following basic identity:

cos^2 \theta + sin^2 \theta =1

And if we solve for cos \theta we got:

cos^2 \theta = 1- sin^2 \theta

cos \theta =\pm \sqrt{1-sin^2 \theta}

And if we replace the value given we got:

cos \theta =\pm \sqrt{1- (\frac{15}{17})^2}=\sqrt{\frac{64}{289}}=\frac{\sqrt{64}}{\sqrt{289}}=\frac{8}{17}

For our case we know that the angle is on the II quadrant, and on this quadrant we know that the sine is positive but the cosine is negative so then the correct answer for this case would be:

cos \theta = -\frac{8}{17}

5 0
3 years ago
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