1answer.
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
stich3 [128]
3 years ago
6

If a figure is square then it is a regular quadrilateral is is true or false explain?

Mathematics
1 answer:
quester [9]3 years ago
3 0
True, 2 squares gives four, therefore it's true Hope I helped  :)
You might be interested in
City A had a population of 10000 in the year 1990. City A’s population grows at a constant rate of 3% per year. City B has a pop
Georgia [21]

Answer:

City A and city B will have equal population 25years after 1990

Step-by-step explanation:

Given

Let

t \to years after 1990

A_t \to population function of city A

B_t \to population function of city B

<u>City A</u>

A_0 = 10000 ---- initial population (1990)

r_A =3\% --- rate

<u>City B</u>

B_{10} = \frac{1}{2} * A_{10} ----- t = 10 in 2000

A_{20} = B_{20} * (1 + 20\%) ---- t = 20 in 2010

Required

When they will have the same population

Both functions follow exponential function.

So, we have:

A_t = A_0 * (1 + r_A)^t

B_t = B_0 * (1 + r_B)^t

Calculate the population of city A in 2000 (t = 10)

A_t = A_0 * (1 + r_A)^t

A_{10} = 10000 * (1 + 3\%)^{10}

A_{10} = 10000 * (1 + 0.03)^{10}

A_{10} = 10000 * (1.03)^{10}

A_{10} = 13439.16

Calculate the population of city A in 2010 (t = 20)

A_t = A_0 * (1 + r_A)^t

A_{20} = 10000 * (1 + 3\%)^{20}

A_{20} = 10000 * (1 + 0.03)^{20}

A_{20} = 10000 * (1.03)^{20}

A_{20} = 18061.11

From the question, we have:

B_{10} = \frac{1}{2} * A_{10}  and  A_{20} = B_{20} * (1 + 20\%)

B_{10} = \frac{1}{2} * A_{10}

B_{10} = \frac{1}{2} * 13439.16

B_{10} = 6719.58

A_{20} = B_{20} * (1 + 20\%)

18061.11 = B_{20} * (1 + 20\%)

18061.11 = B_{20} * (1 + 0.20)

18061.11 = B_{20} * (1.20)

Solve for B20

B_{20} = \frac{18061.11}{1.20}

B_{20} = 15050.93

B_{10} = 6719.58 and B_{20} = 15050.93 can be used to determine the function of city B

B_t = B_0 * (1 + r_B)^t

For: B_{10} = 6719.58

We have:

B_{10} = B_0 * (1 + r_B)^{10}

B_0 * (1 + r_B)^{10} = 6719.58

For: B_{20} = 15050.93

We have:

B_{20} = B_0 * (1 + r_B)^{20}

B_0 * (1 + r_B)^{20} = 15050.93

Divide B_0 * (1 + r_B)^{20} = 15050.93 by B_0 * (1 + r_B)^{10} = 6719.58

\frac{B_0 * (1 + r_B)^{20}}{B_0 * (1 + r_B)^{10}} = \frac{15050.93}{6719.58}

\frac{(1 + r_B)^{20}}{(1 + r_B)^{10}} = 2.2399

Apply law of indices

(1 + r_B)^{20-10} = 2.2399

(1 + r_B)^{10} = 2.2399 --- (1)

Take 10th root of both sides

1 + r_B = \sqrt[10]{2.2399}

1 + r_B = 1.08

Subtract 1 from both sides

r_B = 0.08

To calculate B_0, we have:

B_0 * (1 + r_B)^{10} = 6719.58

Recall that: (1 + r_B)^{10} = 2.2399

So:

B_0 * 2.2399 = 6719.58

B_0  = \frac{6719.58}{2.2399}

B_0  = 3000

Hence:

B_t = B_0 * (1 + r_B)^t

B_t = 3000 * (1 + 0.08)^t

B_t = 3000 * (1.08)^t

The question requires that we solve for t when:

A_t = B_t

Where:

A_t = A_0 * (1 + r_A)^t

A_t = 10000 * (1 + 3\%)^t

A_t = 10000 * (1 + 0.03)^t

A_t = 10000 * (1.03)^t

and

B_t = 3000 * (1.08)^t

A_t = B_t becomes

10000 * (1.03)^t = 3000 * (1.08)^t

Divide both sides by 10000

(1.03)^t = 0.3 * (1.08)^t

Divide both sides by (1.08)^t

(\frac{1.03}{1.08})^t = 0.3

(0.9537)^t = 0.3

Take natural logarithm of both sides

\ln(0.9537)^t = \ln(0.3)

Rewrite as:

t\cdot\ln(0.9537) = \ln(0.3)

Solve for t

t = \frac{\ln(0.3)}{ln(0.9537)}

t = 25.397

Approximate

t = 25

7 0
3 years ago
Need help with 13 and 14
Svetach [21]

Answer:

13. A

14. C.

Step-by-step explanation:

A relation is a function if there is only one y assigned to each x.

That is if you have a set of points, there should be no repeated x value.

So looking at {(0,0),(-2,4),(-2,-4),(-3,7)} this is not a function because you have two x's that are the same. A.

The slope-intercept form of a linear equation is y=mx+b where m is the slope and b is the y-intercept.

The y-intercept is where the graph goes through the y-axis at.  It goes through at -1 so b=-1.

The slope is rise/run.  So starting from the y-intercept (0,-1) we need to find another point to count the rise & run to... How about (3,1)? That works.  You can do the counting if you want. You could also use the slope formula.

To use the slope formula, I just like to line the points up vertically and subtract vertically then put 2nd difference over the 1st difference.

(0,-1)

-(3,1)

--------

-3  -2

So the slope is -2/-3 or just 2/3.

So the equation is y=2/3 x-1

C.

3 0
2 years ago
HELPPPPPPPPPPPPPPPPPP ASAP!!!!!!!!!!!!!!!!
azamat

Answer:

254.5 m^2

Step-by-step explanation:

Area of a Circle: A=\pi r^2

The r is the length of the radius of the circle

The radius of the shown circle is 9 m

A=\pi 9^2

A=81\pi=254.469004941

7 0
2 years ago
Read 2 more answers
Greatest common factor M^3n and 5m^5n^2
xenn [34]

Answer:

m³n

Step-by-step explanation:

8 0
3 years ago
Maths help PLZZ!!!
Slav-nsk [51]

Triangle ABC is an isosceles triangle.

Solution:

Given data:

∠ABC = 70° and ∠ACD = 55°

<em>If two parallel lines are cut by a transversal, then alternate interior angles are congruent.</em>

m∠BAC = m∠ACD

m∠BAC = 55°

<em>Sum of the angles in a straight line add up to 180°.</em>

m∠ACD + m∠ACB + m∠ABC = 180°

55° + m∠ACB + 70° = 180°

m∠ACB + 125° = 180°

Subtract 125° from both sides, we get

m∠ACB = 55°

In triangle ABC,

∠BAC = 55° and ∠ACB = 55°

∠BAC = ∠ACB

Two angles in the triangle are equal.

Therefor triangle ABC is an isosceles triangle.

6 0
3 years ago
Other questions:
  • The answers sis i need help
    5·1 answer
  • X^2=-36 how do I solve this
    5·1 answer
  • Evaluate the expression for the given value of the variable 8+x=6
    9·1 answer
  • Which expression is equivalent to 7/2x -3(5x -1/2)
    12·1 answer
  • I need help on this math
    10·1 answer
  • Enter a linear equation that models the situation.
    5·2 answers
  • In the figure to the right, AB=7 1/2m, BC=2 1/4 m, and DE=1 1/4m. Find the perimeter of the figure if all angles are right.
    13·1 answer
  • Design An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the
    7·1 answer
  • the lines whose equations are 7x-3y=1 and 6x+y=8 intersect at one point. What is the x-coordnate at that point
    14·1 answer
  • Researchers gave 40 index cards to a waitress at an Italian restaurant in New Jersey. Before delivering the bill to each custome
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!