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Nezavi [6.7K]
3 years ago
6

Need some help with this one!!!

Mathematics
1 answer:
muminat3 years ago
4 0

Answer:

210

Step-by-step explanation:

2 x 3 x 5 x 7 = 210

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Solve the equation 169x^2+36=0
KonstantinChe [14]
The answers are 6i/13 and -6i/13. The work it attached below

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3 years ago
Two streets bounding your triangular lot make an angle of 74∘. The lengths of the two sides of the lot on these streets are 126
ycow [4]

Answer: a) Yes, there is enough fance

b) 58.1° and 47.9°

c) The city will not approve, because 1/3 of the area is just 2220.5ft²

Step-by-step explanation:

a) using law of cosines: x is the side we do not know.

x² = 126² + 110² - 2.126.110.cos74°

x² = 20335.3

x = 142.6 ft

So 150 > 142.6, there is enough fance

b) using law of sine:

sin 74/ 142.6 = sinα/126 = sinβ/110

sin 74/ 142.6 = sinα/126

0.006741 = sinα/126

sinα = 0.849

α = sin⁻¹(0.849)

α = 58.1°

sin 74/ 142.6 = sinβ/110

sin 74/ 142.6 = sinβ/110

0.006741 = sinβ/110

sinβ = 0.741

β = sin⁻¹(0.741)

β = 47.9°

Checking: 74+58.1+47.9 = 180° ok

c) Using Heron A² = p(p-a)(p-b)(p-c)

p = a+b+c/2

p=126+110+142.6/2

p=189.3

A² = 189.3(189.3-126)(189.3-110)(189.3-142.6)

A = 6661.5 ft²

1/3 A = 2220.5

So 2300 >  2220.5. The area you want to build is bigger than the area available.

The city will not approve

7 0
3 years ago
PLEASE HELP!<br><br> What is AD? <br><br> A. 15 <br><br> B. 12 <br><br> C. 3 <br><br> D. 20
ki77a [65]

Answer:

A. 15

Step-by-step explanation:

To solve this you need to compare the lengths given to you in the question statement.

Because the lines originate from a single point, they're like triangles.  We can easily see a triangle AGF and a triangle ADE, right?

Both triangles are similar triangles, so we can see triangle ADE as a larger version of angle AGF.

They give you the dimension of A F and A E (through A F + F E) to establish a ratio... and they give you A G, asking for A D.

So, A F = 16, A E = 20 (16 + 4), A G = 12.

Since A D is to A G what A E is to A F, we can easily make the following cross-multiplication:

\frac{A D}{A G} = \frac{A E}{A F}

So, A D = (A G * A E)/A F

A D = (12 * 20) / 16 = 15

3 0
3 years ago
What is the GCF of 28 and 72? Please explain if you can.
Minchanka [31]
72=1,72,2,36,3,24,4,18,6,12,8,9 28=1,28,2,14,4,7 So,the answer is 4
5 0
2 years ago
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