answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fomenos
2 years ago
15

Please helpnumbers 42, 43, 44

Mathematics
1 answer:
Aleks [24]2 years ago
3 0
<h3>Answer:</h3>

42.  29°

43.  3x³ +2x² -3x +10

44.  20a² +68a

<h3>Step-by-step explanation:</h3>

42.  The right-angle corner tells you the two marked angles are complementary — they sum to 90°.

  (-3x +20)° + (-2x +55)° = 90°

  -5x +75 = 90 . . . . . . . . . . collect terms, divide by °

  -5x = 15 . . . . . . . . . . . . . . . subtract 75

  x = -3 . . . . . divide by the coefficient of x

The angle of interest is (-3x+20)°. Filling in the found value for x, we have ...

  (-3·(-3) +20)° = 29° = m∠BDC

___

43.  The distributive property is useful for multiplying polynomials.

  (x +2)(3x² -4x +5) = x(3x² -4x +5) +2(3x² -4x +5)

  = 3x³ -4x² +5x +6x² -8x +10 . . . . . eliminate parentheses

  = 3x³ +2x² -3x +10

___

44.  Area is the product of length and width, so this becomes a problem in multiplying polynomials.

  area = (5a +17)(4a) = 20a² +68a . . . . area in square feet

You might be interested in
Jose has an employer-sponsored 401(k) plan that he contributes to, and his employer matches 25% of his contributions. Jose's sal
erastovalidia [21]
Given:
50,000 salary 
6,000 401K plan contribution of the employee
25% of employee's contribution is the 401K plan contribution of the employer.

6,000 x 25% = 1,500 employer's contribution
6,000 + 1,500 = 7,500

The total amount that was contributed to Jose's 401K plan last year was 7,500.

5 0
2 years ago
Read 2 more answers
Carmen draws this area model to help her divide 1,800 by 9. She says the quotient is 20. Does Carmen's model make sense? Use the
earnstyle [38]

Answer:

Yes

Step-by-step explanation:

Her answer makes sense because 1800 ÷ 9 is 20

3 0
2 years ago
LORAN is a long range hyperbolic navigation system. Suppose two LORAN transmitters are located at the coordinates (-100,0) and (
Gre4nikov [31]

Answer:

\frac {(x)^{2}}{8100}+\frac {(y)^{2}}{1900}=1

Step-by-step explanation:

center of the hyperbola  is  (0,0)  = (h, k)

c = the distance form the center to either focal point  = 100

c^{2} =100^{2}=10000

The differences  from the receiver to the transmitters  =  2a

2a =  180  miles

a   =  180/2=90 miles

a^2 =90^{2}= 8100

b^{2}= c^{2} - a^{2}

b^{2}= 100^{2}-90^{2}=1900

b^{2}=1900

The standard form is

\frac {(x-h)^{2}}{a^{2}}+\frac {(y-k)^{2}}{b^{2}}=1

\frac {(x-0)^{2}}{a^{2}}+\frac {(y-0)^{2}}{b^{2}}=1

\frac {(x)^{2}}{8100}+\frac {(y)^{2}}{1900}=1

3 0
2 years ago
Javier writes an integer on a piece of paper. The absolute value of his number is less than 4. Which is true of the possible val
mrs_skeptik [129]

Answer:

3, -2, -1, 0, 1, 2, 3

Step-by-step explanation:

Given the inequality expression |x| < 4 where x is unknown. To her the possible values of x, we must undeterstand that the absolute value of a number returns both positive and negative value.

Hence |x| can either return +x or -x

If x is positive, the inequality expression will be x<4.

If the value of x is negative, then -x<4

From -x<4

Multiply both sides by minus sign will change the sense of the inequality sign.

-(-x) > -4

x>-4

If x is greater than -4, then -4<x.

Combining both inequality will give;

-4 < x and x<4

-4<x<4

Hence the possible values of Javier's number are integers between -4 and 4.

The values are -3, -2, -1, 0, 1, 2, 3.

4 0
2 years ago
Mr. jovanovski is having wood flooring
Mars2501 [29]

Answer:

By definition the area of a rectangle is:

A = l * w

Where,

l: long

w: width

So we have to clear the width:

w = A / l

Substituting the values:

w = (234) / (18) = 13

w = 13 feets

answer

the width, in feet, of the room is 13

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • 1 1/2 liters of blue paint and 3 3/5 liters of red paint. he mixes 2/3 of the blue paint and 5/6 of the red paint to get purple
    13·1 answer
  • Which expression is equivalent to 3 cube root (343x^9 y^12 z^6) ? 7x3y4z2 7x3y6z2 49x3y6z2 49x3y4z2
    7·2 answers
  • Harry buys a sofa set that costs $2000.00. He pays for it by installments at an interest rate of 5% per year. What is the total
    12·1 answer
  • The table below shows a baseball player’s batting average batting left and right versus left- and right-handed pitches Left-hand
    8·1 answer
  • Two variables are correlated with r=−0.925. Which description best describes the strength and direction of the association betwe
    12·2 answers
  • Solve I = Prt for P when I = 5,480, r = .04, and t = 7.
    7·2 answers
  • If rs 500 amounts to Rs 725 at 9% simple interest in sometime ,what will Rs 600amount to at 11% in same time?
    14·1 answer
  • Complete the synthetic division problem below.
    14·2 answers
  • Let ​ x2+11x=3 ​.
    14·1 answer
  • Dan invests £1200 into his bank account.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!