Answer:
The base angles of an isosceles triangle are the angles formed by the base and one leg of the triangle. The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent.Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.[tex]x = \sqrt{ {7}^{2} + {7}^{2} } \\ x= \sqrt{49 + 49} \\ x = \sqrt{98} \\ x= \sqrt{49 \times 2} \\ \boxed{x= 7 \sqrt{2} }[/tex]
What is the value of x in the triangle?
A. 7
B. 14
✓C. 7√2
D. 7√2/2
C. is the right answer.Select all of the situations below that can be modeled by the expression 4 + 3x.
Four more than three and a number.
Four more than three times a number.
The sum of three times a number and four.
The sum of the product of four, three, and a number.
The sum of four and the product of three and a number.
Answer:
1 2 3
Step-by-step explanation:
What is 13.023 rounded
Answer:
rounded to what tho? nearest tenth? nearest hundreth?
Find the value of xx, yyy, and zz in the parallelogram below.
Answer:
Step-by-step explanation:
What value of x makes this equation true? 12 x minus 15 = 6 minus 3 x
Answer:
Exact Form - 7/5
Decimal form - 1.4
Mixed Form 1 2/5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
[tex]12x - 15 = 6 - 3x[/tex]
Move all x values to one side of the equation, and all constant values to the other side of the equation, and don't forget to flip the signs when going from left to right or vice versa.
[tex]12 x + 3x = 6 + 15[/tex]
[tex]15x = 21[/tex]
[tex]x = \frac{21}{15} = \frac{7}{5} [/tex]
Isaac is multiplying 4 x 3/4. His work
is shown below. Fill in the missing
numbers to complete the problem.
4* 3/4= ?* [? *1/4).
= ( ?* ?) * 1/4
= ?* 1/4 = ? /4= ?
Answer:
match your blanks to the solution below
Step-by-step explanation:
The multiplication of an integer and a fraction has you multiply the integer by the numerator, then express the result over the denominator. At that point, you can reduce the fraction, if possible.
[tex]4\times\dfrac{3}{4}=4\times\left(3\times\dfrac{1}{4}\right)\\\\=(4\times3)\times\dfrac{1}{4}\\\\=12\times\dfrac{1}{4}=\dfrac{12}{4}=3[/tex]
__
Additional comment
Because multiplication is commutative and associative, this can be done in a way that is a little simpler.
[tex]4\times\dfrac{3}{4}=4\times\left(3\times\dfrac{1}{4}\right)\\\\=3\times\left(4\times\dfrac{1}{4}\right)\\\\=3\times\dfrac{4}{4}=3\times1=3[/tex]
You buy an item for $12.50 with a 7% sales tax how much is the sales tax.
It’s number 4
I need the answer like nowwww
sin7x - sin3x
cos 7x - cos3x
Answer:
= -cot5x
Step-by-step explanation:
sin7x - sin3x = sin(5x + 2x) - sin(5x - 2x)
= [sin5x cos2x + cos5x sin2x] - [sin5x cos2x - cos5x sin2x]
= 2 cos5x sin2x
cos7x - cos3x = cos(5x + 2x) - cos(5x - 2x)
= [cos5x cos2x - sin5x sin2x ] - [cos5x cos2x + sin5x sin2x]
= -2 sin5x sin2x
so
(sin7x - sin3x)/(cos7x - cos3x)
= -cos5x/sin5x = -cot5x
If you bought 1000 shares of a Vanguard Mutual Fund for $145 a share two years
ago and it is now worth $265. How much would you make if you sold the mutual
fund now?
$120,000
$145,000
$265.000
$1,200
Answer:
$120000
Step-by-step explanation:
1000 X 145 = 145000
1000 X 265 = 265000
$265000 - $145000 = 120000
clau boundary
Example
The time token rol
as students to hovo
to the neerest minute are owen
their
lunch
table below
in the
3-4
5-9
21
Time minute
110-19
20-29 30-34
Number of studbal
7 16
e) Calculate the mean time
have lunch
the students
for
6) Draw a hutoorom 101
the given data
i Use your histogram to estimate the modal
time for
the students to have lunch.
c) Find the model time.
answer is c
Step-by-step explanation:
because I don't know
Answer:
I am back in my own country
can someone please help? don’t have a lot of time left
Answer:
158 m²
Step-by-step explanation:
Get the area of all the faces, then add them
2(8 x 3) = 48
2(3 x 5) = 30
2(8 x 5) = 80
48 + 30 + 80 = 158
If angle 1 is not congruent to angle 2, which conclusion must be true?
PLEASE HELP WITH THIS
Answer:
[tex]xlog__{2}6[/tex]
Step-by-step explanation:
In logarithmic functions, if we have an exponent say the [tex]x[/tex] in [tex]6^x[/tex], we can "pull it down" from the power and multiply it next to the log.
QUESTION 4 of 10: Last year your store had total sales of $367,000. Because of a boost in the economy, you expect sales to increase 3%
per year for the next 2 years. What are your projected sales in 2 years?
ОООО
a) $245,050
b) $345,310
c) $378,010
d) $389,350
Submit
..
Answer:
its D
Step-by-step explanation:
i got it wrong, thank me latter
The projected sales after 2 years will be $389,350 which is the correct answer would be option (D).
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
Last year's store had total sales of $367,000.
The sales are to increase by 3% per year for the next 2 years.
To determine the projected sales in 2 years
The projected sales in next year = 3% of $367,000 + $367,000
The projected sales in next year = (3/100) × 367,000 + 367,000
The projected sales in next year = 11,010 + 367,000
The projected sales in next year = $378,010
The projected sales after 2 year = 3% of $378,010 + $378,010
The projected sales after 2 year = (3/100) × 378,010 + 378,010
The projected sales after 2 years = 11,340 + 378,010
The projected sales after 2 years = $389,350
Thus, the projected sales after 2 years will be $389,350.
Learn more about percentages here:
brainly.com/question/24159063
#SPJ2
HELP PLEASE,
On which of the following lines does the point (7,1) lie?
A. y - 5 x = 4
B. y = x - 10
C. y = -4 x + 3
D. y = -x + 8
Answer:
the answer would be A.
Step-by-step explanation:
hope this helps
Ophthalmology students compared two types of detached retina surgery to determine if patients were able to regain vision. They studied laser surgery and freezing treatment. Identify the response and explanatory variables.
Answer:
- Response variable: The amount of vision the patients obtained after surgery.
- Explanatory variable: The type of detached retina surgery carried out.
Step-by-step explanation:
Response variable is the main focus of a question when carrying out a study or experiment. Whereas, an explanatory variable is the variable one that explains the changes in the response variable.
Now, in the question we are given it is clear that the main focus of the study is to determine if patients were able to regain vision.
Thus, the response variable is; the amount of vision the patients obtained after surgery.
Now, what determines if patients were able to regain vision is hinged on the 2 retina surgeries which are: laser surgery and freezing treatment.
Thus, the explanatory variable is; The type of detached retina surgery.
Hi! I need help multiplying, adding, and subtracting fractions, could someone help meh? ~bewuga
Answer:
yes i can
Step-by-step explanation:
adding fractions you only add the numerator numbers, the denominator numbers stay the same, subtracting fractions you just subtract the numerator as the denominator stays the same, while multiplying you multiply both numerator and denominator
Answer:
addition and subtraction is possible when denominator are same so to make denometor same multiplication is use on both numerator and denominator
Step-by-step explanation:
for example,
5/10+2/5
now we can't add those numbers so
multiply on both on numerator denominator by same number to make denominator same.
look
5*1/10*1 + 2*2/5*2
5/10+4/10.
(addition is possible bcz denominator are same)
(5+4)/10
9/10 is answer
Steve is driving 440 miles to visit the Grand Canyon. He drives at an average rate of 55 miles per hour. Explain how you can find the amount of time it will take Steve to get to the Grand Canyon.
Help-
Answer:
8 hours
Step-by-step explanation:
Distance d = 440 miles
Average rate v = 55 miles/hour
Distance = rate x time
440 = 55 x time
time = 440/55 = 8 hours
what is 14.38+31.73?
14.38 + 31.73 = 46.11.
Answer:
46.11
Step-by-step explanation:
Add then drop the decimal
find the volume of this prism iready
Answer:
where is the question????????Answer:
where question
Step-by-step explanation:
50 points hlep Explain how to graph a polynomial function in factored form. What do the factors mean in terms of the polynomial? Graph f(x)=(x−2)^2 (x+1) (x−4)
Answer:
Given function: [tex]f(x)=(x-2)^2 (x+1) (x-4)[/tex]
The factors give us the zeros (x-intercepts) of the graph.
To find the zeros, set the function to zero and solve for x:
[tex](x-2)^2 (x+1) (x-4)=0[/tex]
Therefore,
[tex](x-2)^2=0\implies x-2=0 \implies x=2[/tex]
[tex](x+1)=0\implies x=-1[/tex]
[tex](x-4)=0 \implies x=4[/tex]
So the zeros are at (2, 0) (-1, 0) and (4, 0)
The multiplicity of a zero is the number of times the factor appears in the fully factored form of the polynomial, i.e. the exponent on the corresponding factor.
[tex]x = 2[/tex] has a multiplicity of 2[tex]x=-1[/tex] has a multiplicity of 1[tex]x=4[/tex] has a multiplicity of 1If the zero has an even multiplicity, the graph touches and bounces off the x-axis at that point.
If the zero has an odd multiplicity, the graph crosses the x-axis at that point.
To find the y-intercept, expand the function:
[tex]f(x)=x^4-7x^3+12x^2+4x-16[/tex]
Set [tex]x = 0[/tex] and solve:
[tex]f(0)=(0)^4-7(0)^3+12(0)^2+4(0)-16=-16[/tex]
Therefore, the y-intercept is at (0, -16)
The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
As the leading degree is 4 (even) and the leading coefficient is positive, the end behavior of the function is:
[tex]f(x) \rightarrow + \infty \textsf{ as } x \rightarrow - \infty[/tex]
[tex]f(x) \rightarrow + \infty \textsf{ as } x \rightarrow + \infty[/tex]
Emma bikes 11.7 miles each day of the weekend and 6.5 miles each weekday.
How many miles will she have biked in 13 weeks?
Answer:
236.6 miles
Step-by-step explanation:
Add 11.7 + 6.5 which equals 18.2. Then you multiply that by 13 to get 236.6 miles.
What is the difference?
StartFraction x Over x squared minus 2 x minus 15 EndFraction minus StartFraction 4 Over x squared + 2 x minus 35 EndFraction
Answer:
(x^2 + 3x - 12)/(x^3 + 5x^2 - 29x - 105)
Step-by-step explanation:
(x/(x^2 - 2x - 15) ) - (4/(x^2 + 2x - 35)) =
(x/((x-5)(x+3))) - (4/((x-5)(x+7))) =
((x * (x+7)) - (4 * (x+3)))/((x-5)(x+3)(x+7)) =
(x^2 + 7x - 4x - 12)/(x^3 + 5x^2 - 29x - 105) =
(x^2 + 3x - 12)/(x^3 + 5x^2 - 29x - 105)
Answer:
the Answer is D: x^2+3x-12/(x+3)(x-5)(x+7)
Step-by-step explanation:
Edge2020 ;D
A. Find the sum.
Pls help me
Answer:
1. is 1
2. is 0.722222222222
3. is 0.56666666666
4. is 0.791666666666
5. is 1.25
Identify like terms in the expression. 12n-6+p+6n
Answer:
18n+p-6
Step-by-step explanation:
you combine 12 and 6, then put the exponents in order
Hey there!
Like terms are "from the same family"
Let me clarify.
For example. we have an expression "2t+12h-6h"
In this case, 12h and -6h are like terms and 2t and 12h are not like terms.
Here's another example:
r+a-y+4+9-1
The like terms are:
4, 9, and -1
Now that we know what like terms are, let's identify the like terms in the given expression.
The expression is:
[tex]\bold{12n-6+p+6n}[/tex]
What are the like terms?
That's right, 12n and 6n:
[tex]\bold{12n+6n-6+p}[/tex]
[tex]\bold{18n-6+p}[/tex]
Hence, the answer is
[tex]\boxed{\boxed{\bold{18n-6+p}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions; if so, please comment.
#LearningDoesn'tEnd
#LearningIsFun
[tex]\rule{250}{2}[/tex]
8mg : 2.5mL= 4mg : x
Which of the following statements are true of a least - squares regression equation? *
Answer:
It has the same sign as the correlation coefficient r
25x -5 + 32 = (when x = 3)
Answer:
102
Step-by-step explanation:
25 x 3 - 5 + 32
75 - 5 + 32
70 + 32
=102
Answer:
102
Step-by-step explanation:
25(3)-5+32
75-5+32
70+32
102
1. Find the value for t that's makes the given equation true. 12=-t-11
2. Solve each equation for it's variable.
8(m-2)=3(m+3)
n-24/8=n
Pls help 40 points
Step-by-step explanation:
The given equation is 12x2+4kx+3=0
Here, a=12,b=4k,c=3
∴D=b2−4ac=(4k)2−4×12×3=16k2−144
The given equation will have real and equal roots, if
D=0⇒16k2−144=0⇒k2=9⇒k=±3
hope it helps
If you divide -16 into 5 equal parts, how much is each part equal to?
Answer:
They each lost $1500, in total they earned $8,000 but with a deduction of $1500, the total is now $6500
Step-by-step explanation:
What is 155% of 50?
a. 83
b. 77.5
c. 72
d. 93
the answer is B hope this helps
Answer:
[tex]=77.5[/tex]
Step-by-step explanation:
[tex]\mathrm{Convert\:}155\%\mathrm{\:into\:a\:decimal\:and\:multiply\:by\:}50[/tex]
[tex]Percent-\mathrm{A\:ratio\:expressed\:as\:a\:fraction\:out\:of\:a\:hundred.}[/tex]
[tex]=155\%\:[/tex]
In order to covert a percent to a ratio, divide it by 100: a% =[tex]\frac{a}{100}[/tex]
[tex]a=155[/tex]
[tex]155\%\:=\frac{155}{100}[/tex]
[tex]\mathrm{Convert\:to\:decimal\:form}[/tex]
[tex]=1.55[/tex]
[tex]\mathrm{Multiply\:}1.55\mathrm{\:by\:}50[/tex]
[tex]=1.55\cdot \:50[/tex]
[tex]\mathrm{Simplify}\:1.55\cdot \:50[/tex]
[tex]=77.5[/tex]