MATHEMATICS HIGH SCHOOL

If u know how to do this plz help cause I missed class and I don’t understand anything :/

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

sum of angles in a triangle is 180

(26x - 2) + 70 + 60 = 180

26x -2 = 180 - 70 - 60

26x - 2 = 50

26x = 52

x = 2

hope this helped

Answer 2

Answer:

Answer:

D) 2

Step-by-step explanation: The interior angles of triangles will ALWAYS add up to 180 degrees. In this case 2 angles are already provided, 70 and 60, so adding those together (130) the remaining angle must be 50 (180-130=50). In 26x-2=50, x=2 is the only possible answer. (Feel free to ask any questions if you don't understand anything I said!)

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Express the series using sigma notation. 6 + 9 + 12 + 15.

a
b
c
d

Answers

Answer:

Option (d) is correct.

6 + 9 + 12 +15 = $\sum_(k=1)^(4)(3k+3)$

Step-by-step explanation:

Consider the given series expansion 6 + 9 + 12 +15.

since we have to write in series form of 3.

We first write each term of given series in term of 3k or 3k+3

6 can be written as 3(2) or 3(1)+3

9 can be written as 3(3) or 3(2)+3

12 can be written as 3(4) or 3(3)+3

15 can be written as 3(5) or 3(4)+3

Thus, we can write the given series as ,

$\sum_(k=2)^(5)3k$ or $\sum_(k=1)^(4)(3k+3)$

Since, we have options to choose.

From the given option (d) matches our result.

So, 6 + 9 + 12 +15 = $\sum_(k=1)^(4)(3k+3)$

Answer:

Step-by-step explanation:

The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room.

Answers

Answer: Length of room = 30 feet

Width of room = 30-5 = 25 feet

Step-by-step explanation:

Let the length of room be l

Let the breadth of room be l-5

Area of rectangular room = 750 sq. feet

As we know the formula for "Area of rectangle ":

$Area=Length* breadth\n\n750=l(l-5)\n\n750=l^2-5l\n\nl^2-5l-750=0\n\n\text{By split the middle term}\n\nl^2-30l+25l-750=0\n\nl(l-30)+25(l-30)=0\n\n(l-30)(l+25)=0\n\nl=30,-25\n\n\text{Negative get discarded}\n\nLength=30\ feet$

So, Length of room = 30 feet

Width of room = 30-5= 25 feet

The area is length times width. Therefore, your length is 30 and the width is 25. The width (25) is 5 less than the length (30). 30 times 25 is 750.

Solve for L: d=LM/R2+R1

Answers

d=LM/(R2+R1)
d(R2+R1)=LM
[d(R2+R1)]/M=L

Answer:

Given the equation: $d = (LM)/(R_2+R_1)$ .....[1]

Cross multiply states that an equation of fractions when each of the side consists of a fraction with a single denominator by multiplying the numerator of each side by the denominator of the other side and equating these two products obtained.

Apply the cross multiply in [1], we get;

$d(R_2 +R_1) = LM$

Divide both sides by M we get;

$L = (d(R_2+R_1))/(M)$

$L = (dR_2+dR_1)/(M)$

Suppose you are determining the growth rate of two species of plants. Species A is 12 cm tall and grows 2 cm per month. Species B is 10 cm tall and grows 3 cm per month. Which system of equations models the height of each species H(m) as a function of months m.H(m ) = 2 + 12m
H(m ) = 3 + 10m

H(m ) = 2 + 12m
H(m ) = 10 + 3m

H(m ) = 12 + 2m
H(m ) = 3 + 10m

H(m ) = 12 + 2m
H(m ) = 10 + 3m

Answers

Answer:

The equations for the growth of two type of species are

H(m) = 12 + 2m

H(m) = 10 + 3m

Step-by-step explanation:

As given

The growth rate of two species of plants.

Species A is 12 cm tall and grows 2 cm per month.

The height of each species is represented by H(m) as a function of months m.

Than the equation becomes

H(m) = 12 + 2m

As given

Species B is 10 cm tall and grows 3 cm per month.

Than the equation becomes

H(m) = 10 + 3m

Than the equations for the growth of two type of species are

H(m) = 12 + 2m

H(m) = 10 + 3m

H(m) = 12 + 2m
H(m) = 10 + 3m

Morgan found a stone arrowhead. He measured it three times. He measured it as 2 inches to the nearest inch, to the nearest 1/2 inch, and to the nearest 1/4 inch. How can this be? Explain