All categories

3 years ago

I need help with my math to day.‍♀️

Mathematics

2 answers:

ANTONII [103]3 years ago

8 0

Answer:

8x + 1 + 6x + 5 = 90

14x + 6 = 90

14x = 84

x = 6

<DCB is 6x+5

6(6) + 5

36 + 5

Eva8 [605]3 years ago

6 0

Answer:

∠ DBC = 41°

Step-by-step explanation:

∠ DBC + ∠ DBA = 90° , substitute values

6x + 5 + 8x + 1 = 90, that is

14x + 6 = 90 ( subtract 6 from both sides )

14x = 84 ( divide both sides by 14 )

x = 6

Thus

∠ DBC = 6x + 5 = 6(6) + 5 = 36 + 5 = 41°

You might be interested in

Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 252 miles in the same time that Dana travels 228 miles. I

vlada-n [284]

Answer:

Chuck's rate of travel = 63mph

Step-by-step explanation:

Given chuck travels 252 miles and dana travels 228 miles. Given that they both take same time to travel .

Let the travelling time be T.

Also given that the speed of chuck is 6mph greater than that of dana's.

let the speed of chuck be x. Now

Speed = $\frac{distance }{time}$

x= $\frac{252}{T}$

Now for Dana's speed

x-6= $\frac{228}{T}$

When we divide both the equations we get

$\frac{x}{x-6}=\frac{252}{228}$

$\frac{x}{x-6}=\frac{63}{57}$

x=63mph

7 0

3 years ago

Read 2 more answers

QUICK PLS Your friend is able to invest $120 a month in a 401(k) with a predicted growth rate of 3%. Your friend's company will

Len [333]

The contribution of the friend's company is of: $60.

The account's balance after 20 years will be of: $130,694.36.

The total deposits after 20 years are given as follows: $28,800 by the friend and $14,400 by the company.

The interest earned during this entire period was of: $87,494.36.

<h3>How to obtain the balance?</h3>

The balance is obtained using the future value formula, which is presented as follows:

$B = \frac{P\left(\left(1 + \frac{r}{n}\right)^{nt}-1\right)}{\frac{r}{n}}$

The meaning of each parameter is explained as follows:

P is the total month deposit.

r is the interest rate.

n is the number of coupoundings per period, that is, compoundings per year.

t is the number of years.

The deposits will be of:

Friend: $120.

Company: $60, as it is half of the friend.

Then the parameter P is of:

P = 120 + 60 = 180.

The remaining parameters to obtain the balance after 20 years are given as follows:

r = 0.03, n = 12, t = 20.

Then the balance after 20 years is obtained as follows:

$B = \frac{P\left(\left(1 + \frac{r}{n}\right)^{nt}-1\right)}{\frac{r}{n}}$

$B = \frac{180\left(\left(1 + \frac{0.03}{12}\right)^{12 \times 20}-1\right)}{\frac{0.03}{12}}$

B = $130,694.36.

The total deposits will be of:

Friend: 120 x 20 x 12 = $28,800.

Company: half of friend -> $14,400.

The interest accrued is the balance subtracted by the total deposits, hence:

130694.36 - (28800 + 14400) = $87,494.36.

A similar problem, also featuring the future value formula, is presented at brainly.com/question/24703884

#SPJ1

3 0

2 years ago

Free Points!!!!!!

oee [108]

Answer:

Step-by-step explanation:A.

3 0

4 years ago

A rectangle has coordinates A(-4, 3), B(0, 0), C(6, 8), D(2, 11). What is the area of the rectangle?

asambeis [7]

Any polygon given by a list of 2D vertex coordinates has area given by the shoelace formula.

That's the absolute value of half the sum of the cross products of the sides. We form the table of the vertices. We include the first vertex at the end, then calculate the cross product of the side, (a,b) then (c,d) gives cross product ad-bc.

cross product

-4 3 0

0 0 0

6 8 6(11)-8(2) = 66 - 16 = 50

2 11 2(3) - (11)(-4) = 50

-4 3

So the area is (1/2)(50+50) = 50

Answer: 50

5 0

3 years ago

25% of blank is 30 .???????

Yanka [14]

25% of___ is 30

Answer: 120

5 0

3 years ago

Read 2 more answers