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1 year ago

I was doing my homework and got confused on this question.

Mathematics

1 answer:

spayn [35]1 year ago

4 0

We will determine the length of the segment DF as follows:

*We have that the triangles are similar, and therefore the following is true:

$\frac{2}{1.34}=\frac{4}{DF}$

Now, we solve for DF:

$\Rightarrow DF=\frac{1.34\cdot4}{2}\Rightarrow DF=2.68$

From this, we have that the length of the segment DF equals 2.68 units.

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Graph the system of inequalities y> 2x-3 and 3y-x≤6

Veronika [31]

Y > 2x - 3
3y - x ≤ 6
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y = 2x - 3
3y - x = 6

 3(2x - 3) - x = 6
3(2x) - 3(3) - x = 6
 6x - 9 - x = 6
 6x - x - 9 = 6
 5x - 9 = 6
 + 9 + 9
 5x = 15
 5 5
 x = 3
y = 2x - 3
y = 2(3) - 3
y = 6 - 3
y = 3
(x, y) = (3, 3)

4 0

3 years ago

The sides OP and RO of triangle POR are produced to points S and T respectively. If ∠SPR = 145° and ∠POT = 115° , find ∠PRO

Margarita [4]

Answer:

$\angle PRQ = 80$

Step-by-step explanation:

Given

$\angle SPR = 145^o$

$\angle POT = 115^o$

See attachment

Required

Find $\angle PRO$

First, calculate $\angle RPO$

$\angle RPO + \angle SPR = 180$ --- angle on a straight line

So, we have:

$\angle RPO + 145 = 180$

Collect like terms

$\angle RPO = 180 - 145$

$\angle RPO = 35$

Next, calculate PQR

$\angle POR + \angle POT = 180$

So, we have:

$\angle POR + 115 = 180$

Collect like terms

$\angle POR = 180-115$

$\angle POR = 65$

So, PRO is calculated as:

$\angle PRO + \angle POR + \angle RPO = 180$ --- angles in a triangle

So, we have:

$\angle PRO + 65 + 35= 180$

$\angle PRO + 100= 180$

Collect like terms

$\angle PRO = 180-100$

$\angle PRO = 80$

3 0

2 years ago

What is the surface area of the square pyramid

user100 [1]

Answer:

128 feet squared

Step-by-step explanation:

you multiply 4 by 4 to get 16 ,

then you multiply 7 by 4 and get 28,

also multiply 28 by 4 and get 112 ,

finally add 112 and 16 to get 128

6 0

2 years ago

Find all ratios that are equivalent to 4 : 6 and have a first term that is less than 40.

kherson [118]

Answer:

2: 3, 4: 6, 6: 9, 8: 12 , 10: 15, 12: 18, 14: 21, 16: 24, 18: 27, 20: 30, 22: 33, 24:36, 26: 39, 28: 42, 30: 45, 32: 48, 34: 51, 36: 54, 38: 57

Step-by-step explanation:

The ratio 4: 6 can be simplified to 2:3 by dividing by 2 to each side of the ratio. After simplified to 2:3, you add the ration to itself to get the rest of the terms.

7 0

2 years ago

Simplify 2a^2b^3(4a^2+3ab^2-ab)

-BARSIC- [3]

2a^2b^3(4a^2+3ab^2-ab)=?

is what I presume you actually meant. 

Pull out the common factors of (4a^2+3ab^2-ab) and you will get 

a(4a+3b^2 -b) 

Substitute this back into the original equation and you get

2a^2b^3[a(4a+3b^2-b)] = 
2a^3b^3(4a+3b^2-b) =
2a^3b^3(4a-b+3b^2)

3 0

3 years ago