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
scoray [572]
3 years ago
10

The length of each of the legs of an isosceles triangle is 3ft less than twice the length of the base. The perimeter of the tria

ngle is 588 inches. Find the length of each side in feet
Mathematics
1 answer:
Marrrta [24]3 years ago
6 0

The base is 11 ft and the legs are both 19ft.

x+2x-36+2x-36=588

Addition Property of Equality

x+2x+2x=660

Combine Like Terms

5x=660

Division Property of Equality

x=132in

2(132)-36=228in

132in÷12=11ft

228in÷12=19ft

You might be interested in
Please help , thank you !!!!!!1
Lynna [10]
Answer is 7.
55+5X=90
5X=90-55
5X=35
X=35/5
X=7
6 0
3 years ago
What is the algebraic expression for the following word phrase the sum of 7w and 5
just olya [345]

The sum is the result of adding two or more numbers.

If one number is 7w and another number is 5, then the sum is

7w+5.

Answer: the algebraic expression for the word phrase the sum of 7w and 5 is 7w+5.

5 0
3 years ago
Read 2 more answers
Picture attached with question
Mariana [72]

The function is stretched vertically by a factor of 3.

The function shifts 2 to the right.

The function is moved 5 units up.

Explanation:

The parent function of the graph is f(x)=\sqrt{x}

The transformation for the parent function is given by g(x)=3\sqrt{x-2} +5

Thus, the transformed function is in the form of y=a\sqrt{x-h} +k

where a is the vertical compression/stretch,

h moves graph to left or right and

k moves the graph up or down.

Thus, from the transformed function g(x)=3\sqrt{x-2} +5, we have,

a=3, h=2 , k=5

The attached graph below shows the transformation of the graph that the graph is stretched vertically by a factor of 3 and shifted 2 units to the right and moved 5 units up.

Hence, The function is stretched vertically by a factor of 3.

The function shifts 2 to the right.

The function is moved 5 units up.

6 0
3 years ago
A coin is tossed twice. What is the probability of getting a tail in the first toss and a tail in the second toss?
skelet666 [1.2K]

Answer:

<h2>1/4 Chances</h2><h2>25% Chances</h2><h2>0.25 Chances (out of 1)</h2>

Step-by-step explanation:

Two methods to answer the question.

Here are presented to show the advantage in using the product rule given above.

<h2>Method 1:Using the sample space</h2>

The sample space S of the experiment of tossing a coin twice is given by the tree diagram shown below

The first toss gives two possible outcomes: T or H ( in blue)

The second toss gives two possible outcomes: T or H (in red)

From the three diagrams, we can deduce the sample space S set as follows

          S={(H,H),(H,T),(T,H),(T,T)}

with n(S)=4 where n(S) is the number of elements in the set S

tree diagram in tossing a coin twice

The event E : " tossing a coin twice and getting two tails " as a set is given by

          E={(T,T)}

with n(E)=1 where n(E) is the number of elements in the set E

Use the classical probability formula to find P(E) as:

          P(E)=n(E)n(S)=14

<h2>Method 2: Use the product rule of two independent event</h2>

Event E " tossing a coin twice and getting a tail in each toss " may be considered as two events

Event A " toss a coin once and get a tail " and event B "toss the coin a second time and get a tail "

with the probabilities of each event A and B given by

          P(A)=12 and P(B)=12

Event E occurring may now be considered as events A and B occurring. Events A and B are independent and therefore the product rule may be used as follows

        P(E)=P(A and B)=P(A∩B)=P(A)⋅P(B)=12⋅12=14

NOTE If you toss a coin a large number of times, the sample space will have a large number of elements and therefore method 2 is much more practical to use than method 1 where you have a large number of outcomes.

We now present more examples and questions on how the product rule of independent events is used to solve probability questions.

8 0
3 years ago
Read 2 more answers
0.7x+6=0.3(4x+6)−2x
Gelneren [198K]

Answer: x=-2.8

Step-by-step explanation:

Given the following equation:

0.7x+6=0.3(4x+6)-2x

You can follow these steps in order to solve for "x" and find its value:

1. Apply Distributive property on the right side of the equation:

0.7x+6=0.3(4x+6)-2x\\\\0.7x+6=1.2x+1.8-2x

2. Subract 0.7x from both sides and add the like terms:

0.7x+6-(0.7x)=1.2x+1.8-2x-(0.7x)\\\\6=-1.5x+1.8

3. Subtract 1.8 from both sides:

6-(1.8)=-1.5x+1.8-(1.8)\\\\4.2=-1.5x

4. Finally, divide both side of the equation by -1.5:

\frac{4.2}{-1.5}=\frac{-1.5x}{-1.5}\\\\x=-2.8

8 0
4 years ago
Read 2 more answers
Other questions:
  • Help Geometry I need this answer please
    11·1 answer
  • If a line is defined by the equation y = 3x - 7, what is the y-intercept?
    9·1 answer
  • -0.848= -0.2(6.5n-2)<br> Enter only the value of the variable
    12·2 answers
  • Line segment PQ is shown on a coordinate grid: (see image below) The line segment is rotated 270 degrees counterclockwise about
    13·2 answers
  • In a bag are 7 red, 9 blue, 2 yellow and 4 green marbles. If you draw out a marble at random, what the probability that you will
    15·1 answer
  • Estimate the sum of 945 + 573 + 617 by rounding each number to the nearest hundred. ​
    9·2 answers
  • 20 points
    8·1 answer
  • The parking garage has 9 rows with 10 parking spaces in each row. There are 8 empty spaces.How many spaces are filled?
    11·2 answers
  • Factor completely 2x2 + 4x − 2
    12·1 answer
  • Standardized Test Practice
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!