i need help on number 6 and 7 !!! please help!!!! it would be much appreciated
Answers
Answer:
6.) No, you do not agree with Ted.
7.) x = 34 degrees
Step-by-step explanation:
6.) For a triangle to be valid, it must meet these requirements:
a+b>c
a+c>b
b+c>a
If it fails a single one, then it is invalid.
For example: 6+11 is not greater than 4. Therefor, Ted is incorrect
7.) Though you see a square, or rectangle (whatever you want to call it), you can break it up into 2 triangle, only 1 of which you need to solve for.
We have these clues:
angle 1 = x
angle 2 = 56 degrees
angle 3 is a right angle
Any triangle must have its angles sum to 180 degrees
We also know that right angles are equal to 90 degrees.
Our updated clues:
angle 1 = x
angle 2 = 56 degrees
angle 3 = 90 degrees
angles 1+2+3 must equal 180
So we can make this equation:
x+56+90=180
Add like terms and solve for x:
x = 34
Related Questions
William says that 15 years from now, his age will be 3 times his age 5 years ago. if x represents William's present age, what equation represents his claim? What is Willaim's current age?
Answers
Answer:
x + 15 = 3 (x - 5)
William’s current age: 15. Years old
Step-by-step explanation:
x + 15 = 3(x-5)
x + 15 = 3x - 15
15 + 15 = 3x - x
30 = 2x
x = 15
Madelyn has two summer jobs. During the week she works in the grocery store, and on the weekend she works at a nursery. She gets paid $22 per hour to work at the grocery store and $21 per hour to work at the nursery. How much does she earn if she works 11 hours at the grocery store and 10 hours at the nursery? How much does she earn if she works gg hours at the grocery store and nn hours at the nursery?
Answers
Answer:
242$ in grocery store and 210$ in nursery
Step-by-step explanation:
Find the radius of a circle to the nearest hundredth if its circumference is 25.5 yard
Answers
4.06 yard is the the radius of a circle to the nearest hundredth if its circumference is 25.5 yard
9. A cup of tea costs x pence. Coffee costs 20 pence more. Hermes buys 2 cups of tea and one cup of coffee. In total Hermes pays £3.80. Work out the cost of a cup of tea.
Answers
Answer:
£1.20Step-by-step explanation:
Given:
Tea = xCoffee = x + 0.2Comparing the total cost, work out the value of x:
2x + x + 0.2 = 3.803x = 3.60x = 1.20PLEASE HELP ASAP 40% of my grade relies on this question!!!!!!!
Answers
Answer:
To solve this, make d the subject from the eqn.
[tex]b = - \frac{1}{c} da[/tex]
[tex]d = - \frac{cb}{a} [/tex]
Which property is used in the following: (2.3).5=2.(3.5) ?
Answers
Answer:
Associative property
Step-by-step explanation:
you can group factors in any order and the answer will be the same
Help help Help help Help help Help help Help help Help help Help help Help help Help help Help help
Answers
If I have a 77 and i get 100 added to my grade what will my final score be?
Answers
Answer:
Most likely a B.
Step-by-step explanation:
This depends on how much the test was of your grade.
PLSS HELP I need answers
Answers
Answer:
4.66666666667 to be exact
Step-by-step explanation:
divide 3 into 14
-NULL
Brainliest will be appreciated thank you!
4. Isoke's salary in 2015 is $30 000 per year. Every year her salary
is increased by 5%.
In 2016 her salary will be
30 000 x 1.05 = $31 500
In 2017 her salary will be 30 000 x 1.05 X 1.05 = $33075
In 2018 her salary will be 30 000 x 1.05 x 1.05 x 1.05 = $34728.75
And so on.
a). What will her salary be in 2019?
b) What will her salary be in 2021?
Answers
Answer:
in 2019, $36 465.19
in 2021, $40 202.87
Step-by-step explanation:
2015 is $30 000 per year
if it is increased by 5% every year
then,
in 2019, her salary will be $30 000 x (1.05)^4 = $36 465.19
in 2021, her salary will be $30 000 x (1.05)^6 = $40 202.87
fill in the blank
( ___-2a)^2=9b^2-___+___
Answers
Answer:
(3b-2a)^2=9b^2-12ab+4a^2
Step-by-step explanation:
Using the formula (a-b)^2=a^2-2ab-b^2, you can plug in the values to get your answer. (Sorry I can't really explain more, it's just using the formula. Hope this helps)
A diver descends at an average speed of 10.4 m/min. Use rational numbers to write her depth after 3.6 min.
Answers
Answer: it’s just 2.89 there’s nothing else to it
Determine the equation of the line.
Answers
Answer:
y = 5x -10
Step-by-step explanation:
The y-intercept is -10, as in, the line on the y-axis is at -10
The slope is 5, as in, the line is moving up 5 and right 1. So it should be 5/1x but you don't need the 1. You could use it, but you don't need to. Here's what it would look like if you did use it:
y = 5/1x - 10
help with this question
Answers
Answer:
option D is correct
x=O and x=-8
18 A = {multiples of 5 between 14 and 26}
B = {odd numbers between 14 and 26}
(a) List the members of A u B
(b) Describe the members of A n B
Answers
Answer:
13;14;17;19;20;21;23;25
Step-by-step explanation:
this is so simple
help asap plz with my math hw, i will give you thanks and 5stars
Answers
Answer:
it would be 15 or 14 that only came up when I did it
Step-by-step explanation:
Identify the slope and y-intercept of the line y = 9x - 3
Answers
Answer:
slope = 9 , y- intercept = - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 9x - 3 ← is in slope- intercept form
with slope m = 9 and y- intercept c = - 3
Solve pls
6(n-4)=3n
Answers
what is the ratio to 8 adults and 24 students?
Answers
Answer:
8:24
8/24
3#
Step-by-step explanation:
mark as a brainlist
Answer:
8 : 24 = 1 : 3
Step-by-step explanation:
The ratio is not in lowest terms so we found an equivalent ratio by simplifying
We can simplify the ratio 8 : 24 by dividing both terms by the greatest common factor (GCF).
The GCF of 8 and 24 is 8.
Divide both terms by 8.
8 ÷ 8 = 1
24 ÷ 8 = 3
Therefore:
8 : 24 = 1 : 3
A hardware dealer has 168kg of nails, if one nail weighs 0.25kg, how many nails he have?
Answers
Answer:
He has 672 nails
Step-by-step explanation:
168/.25
Answer:
He has 672 nails.
Step-by-step explanation:
Weight of all nails=168
Weight of a nail=0 .25
Then,
Number of nails=168/0.25
=672
X^5-2x^4-24x^3=0. solve by factoring
Answers
x^3(x^2 - 2x - 24) = 0
x^3(x - 6)(x + 4) = 0
x^3 = 0, x = 0
x - 6 = 0, x = 6
x + 4 = 0, x = -4
Solution: x = 0, -4, 6
Answer:
1. x=6
2. x = -4
3. x³ = 0
Step-by-step explanation:
Step 1: Equation at the end of step 1
((x⁵) - ( 2 · (x⁴)))-(2³· 3x³) = 0
Step 2:
Equation at the end of step 2:
((x⁵)-2x⁴)-(2³ · 3x³) = 0
Step 3: X
Step 4: Pulling out like terms
Pull out like factors :
x⁵ - 2x⁴ -24x³ = x³· (x² - 2x -24)
Trying to factor by splitting the middle term
Factoring x² -2x - 24
The first term is, x² ts coefficient is 1 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is -24
Step-1 : Multiply the coefficient of the first term by the constant 1 • -24 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -2 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5
-6 + 4 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 4
x2 - 6x + 4x - 24
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-6)
Add up the last 2 terms, pulling out common factors :
4 • (x-6)
Step-5 : Add up the four terms of step 4 :
(x+4) • (x-6)
Which is the desired factorization
Equation at the end of step
4
:
x3 • (x + 4) • (x - 6) = 0
STEP
5
:
Theory - Roots of a product
5.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
5.2 Solve : x3 = 0
Solution is x3 = 0
Solving a Single Variable Equation:
5.3 Solve : x+4 = 0
Subtract 4 from both sides of the equation :
x = -4
Solving a Single Variable Equation:
5.4 Solve : x-6 = 0
Add 6 to both sides of the equation :
x = 6
Supplement : Solving Quadratic Equation Directly
Solving x2-2x-24 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Parabola, Finding the Vertex:
6.1 Find the Vertex of y = x2-2x-24
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 1.0000
Plugging into the parabola formula 1.0000 for x we can calculate the y -coordinate :
y = 1.0 * 1.00 * 1.00 - 2.0 * 1.00 - 24.0
or y = -25.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = x2-2x-24
Axis of Symmetry (dashed) {x}={ 1.00}
Vertex at {x,y} = { 1.00,-25.00}
x -Intercepts (Roots) :
Root 1 at {x,y} = {-4.00, 0.00}
Root 2 at {x,y} = { 6.00, 0.00}
Solve Quadratic Equation by Completing The Square
6.2 Solving x2-2x-24 = 0 by Completing The Square .
Add 24 to both side of the equation :
x2-2x = 24
Now the clever bit: Take the coefficient of x , which is 2 , divide by two, giving 1 , and finally square it giving 1
Add 1 to both sides of the equation :
On the right hand side we have :
24 + 1 or, (24/1)+(1/1)
The common denominator of the two fractions is 1 Adding (24/1)+(1/1) gives 25/1
So adding to both sides we finally get :
x2-2x+1 = 25
Adding 1 has completed the left hand side into a perfect square :
x2-2x+1 =
(x-1) • (x-1) =
(x-1)2
Things which are equal to the same thing are also equal to one another. Since
x2-2x+1 = 25 and
x2-2x+1 = (x-1)2
then, according to the law of transitivity,
(x-1)2 = 25
We'll refer to this Equation as Eq. #6.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x-1)2 is
(x-1)2/2 =
(x-1)1 =
x-1
Now, applying the Square Root Principle to Eq. #6.2.1 we get:
x-1 = √ 25
Add 1 to both sides to obtain:
x = 1 + √ 25
Three solutions were found :
x = 6
x = -4
x3 = 0
four hundred five times seventy
Answers
Answer:
Step-by-step explanation:
28350, two thousand and eight, three hundred and fifty
Answer:
28350
Step-by-step explanation:
For any two real numbers, a and b one and only one of these relations is true:
1. a = b
2. a < b
3. a > b
Answers
Answer:
For real numbers according to the Law of Trichotomy,
if a = b then a will never be greater than b and a will never be less than a.
if a<b then a will never be equal to b and a will never be greater than b.
if a>b then a will never be less than b and a will never be equal to b.
And vice versa to b as well.
That means only one property will hold for given two numbers.
For any two real numbers, a and b ,only one property will hold for given two numbers.
What is number?A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.
here, we have,
For any two real numbers, a and b
For real numbers according to the Law of Trichotomy,
if a = b then a will never be greater than b and a will never be less than a.
if a<b then a will never be equal to b and a will never be greater than b.
if a>b then a will never be less than b and a will never be equal to b.
And vice versa to b as well.
That means only one property will hold for given two numbers.
To learn more on number click:
brainly.com/question/17429689
#SPJ2
Musi measured the length and width of a soccer field and then made a drawing of the soccer field . He decided to use 1 mm on his ruler to represent 3 m on the soccer field. If his measurement of the width of the soccer field was 63m , what is the width of his drwaing?
Answers
63 / 3 = 21
The width of his drawing will be 21mm
If his measurement of the width of the soccer field was 63m , the width of Musi's drawing for a 63 m wide soccer field is 21 mm.
Musi's ruler represents 1 mm as 3 m on the soccer field. To find the width of his drawing for a 63 m wide soccer field, we can set up a proportion to relate the real width to the width on his drawing.
Let "x" represent the width of his drawing in millimeters.
The proportion can be set up as follows:
1 mm (on the drawing) / x mm (real width on the field) = 3 m (on the drawing) / 63 m (real width on the field)
Now, cross-multiply and solve for "x":
1 * 63 m = 3 * x mm
63 = 3x
Divide both sides by 3 to find the width of his drawing:
x = 63 / 3
x = 21
So, the width of Musi's drawing for a 63 m wide soccer field is 21 mm.
In summary, Musi used a scale of 1 mm to represent 3 m on the soccer field. Therefore, the width of his drawing for a 63 m wide soccer field is 21 mm.
To learn more about scale click on,
https://brainly.com/question/28720090
#SPJ4
10 yd
9 yd
Perime
Perimeter:
Area:
IsheetWorks.com
Answers
Step-by-step explanation:
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Step-by-step explanation:
The area = 9 × 10 = 90
the perimeter = 2(9 + 10) = 38
pleae give me a brainliest answer
The movie theater sold 825 tickets to fill 3 theaters how many seats are in each theater
Answers
Answer:
275?
Step-by-step explanation:
I just divided it.. 825÷3
Answer:
The correct answer is 275 seats
Step-by-step explanation:
Since its 3 FULL theaters then we are gonna divide the number of tickets by the number of theaters which is 825÷3.
Do the math (or use a calculator) and your left with 275.
Hope this helps!
A city bus goes 18miles in 30 minutes . HOW far does it go in 2 minutes?
Answers
Answer:
the city bus would cover 6 miles in 10 minutes.
Step-by-step explanation:
18 miles = 30 minutes
? miles = 10 minutes
cross multiply
? x 30 = 18 x 10 (180)
? = 180/30
? = 6
the city bus would cover 6 miles in 10 minutes.
Danni walked 2 miles, and Wendi walked 10,500 feet. Which statement is accurate?
A) Wendi walked farther than Danni.
B) Danni walked farther than Wendi.
C) Danni walked twice as far as Wendi.
D) Danni and Wendi walked equal distances.
Answers
Answer:
B) Danni walked farther than Wendi.
Step-by-step explanation:
a mile is 5,280 feet. 5,280 + 5280 = 10,560
Equation: M+6/-3=4
What did you do?
Simplify/complete sentence
Answers
Following the order of operations, 6 divided by -3 is -2. So we can replace that with -2 and get:
M+-2=4
Adding a negative is the same thing as subtracting.
M-2=4
Then we can add 2 to both sides to get rid of the 2.
M-2+2=4+2
M = 6
A hedgehog wishes to cross a road without being run over.
He observes the angle of elevation of a lamp post on the other
side of the road to be 27° from the edge of the road and 15°
from a point 10m back from the road. How wide is the road?
Ifhe can run at 1 m/s-bew long will he take to cross?
If cars are travelling at 20 m/s, how far apart must they be if he
is to survive?
Answers
Answer:
15m long
Step-by-step explanation:
