Answer:
a = 5, b = -1Step-by-step explanation:
Simplify the left side.
Multiply both numerator and denominator by the conjugate of the denominator:
(√3 - 1)/(√3 + 1) = (√3 - 1)(√3 - 1)/(√3 - 1)(√3 + 1) =(√3² - 2√3 + 1)/(3 - 1) =(10 - 2√3)/2 = 5 - √3Compare this to the right side to get:
5 - √3 = a + b√3a = 5, b = -1The ratio of the measure of the three angles of a triangle is 3:4:8. Find the mesure of the large angle
Answer:
96°
Step-by-step explanation:
Ratio of angles :
3 : 4 : 8
Sum of angles in a triangle = 180°
The value of the largest angle = angle with the largest ratio
This is the value of the angle with ratio 8
Sum of ratio : (3 + 4 + 8) = 15
Hence,
(8 / 15) * 180°
(8 * 180°) / 15
1440 / 15
= 96°
I need help with solving these math problems please whoever answers them correctly I will mark brainliest!!!
You decide to buy a custom frame for a painting which measures 4 by 6 inches. If the framing material costs $2 per inch, what is the total cost of framing material?
Answer:
6 x 4 = 24 x $2 = $48
Step-by-step explanation:
The total cost of the rectangular frame is C = $240.
What is rectangle?A rectangle is a two-dimensional shape in which the opposite sides are parallel and equal to each other and all four angles are right angles.
Given that, a painting measures 4 by 6 inches, the framing material costs $2 per inch,
We need to find the total cost of framing material
The perimeter is given by:
P = 2x(L + W)
In this case, we know that the frame is 6 inches by 14 inches, then the perimeter will be:
P = 2x(6in + 14in)
P = 2x20in = 40in
Since, the framing material costs $6 per inch, then the total cost of the frame will be:
cost = 40x$6 = $240
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The scale that maps Figure A onto Figure B is 1:3 1 4 . Enter the value of x.
Answer:
6710.46x
Step-by-step explanation:
The solution is : the value of x is x = 9.75.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
You need to convert from mixed number to decimal number. To do this you can follow the steps shown below:
Step 1: You must divide the numerator of the fraction by the denominator of the fraction.
Step 2: Now you must add the quotient obtained to the Whole number part.
So, you get:
3 + 1/4
=3 + 0.25
= 3.25
Then, the scale image that maps "Figure a" onto "Figure b" is:
1: 3.25
Finally, in order to find the value of "x", you need to multiply the given length of the corresponding side of "Figure a" by .
Therefore, you get that the result is:
x = 3 * 3.25
or, x = 9.75
Hence, The solution is : the value of x is x = 9.75.
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Choose all of the expressions that are equivalent to 1/4 + 7/8. A. 2/8+7/8 B. 4/16+15/16 C. 8/24+21/24 D. 7/32+28/32 E. 10/40+35/40
Answer:
A & E are correct. I have the same question as you.
Step-by-step explanation:
Just trust me its a and e
formulas A=bh/2 A=bh and I have 6in 4in 6in 10in and I have to find the area
Answer:
Lots of "ifs" here.
A=bh/2 is the formula for the area of a triangle.
A=bh is the formula for the area of a rectangle or a parallelogram.
If the 6 & 4 area the base & height of a rectangle, then (6)(4) = 24 in^2
If the 6 & 10 are the base and height of a triangle, then 1/2(6)(10) = 30 in^2
Step-by-step explanation:
What is the domain of y = tan x? A. (–∞, ∞) B. C. all D. all
Given:
The function is
[tex]y=\tan x[/tex]
To find:
The domain of the given function.
Solution:
We know that, domain is the set of x-values or input values.
We have,
[tex]y=\tan x[/tex]
[tex]y=\dfrac{\sin x}{\cos x}[/tex]
The functions sin x and cos x are defined for all real values of x. So, the function tan x is defined for all real values of x except those value for which cos x = 0.
So, domain is [tex]-\infty<x<\infty, x\neq \dfrac{\pi}{2}+n\pi[/tex].
Note: All options are incorrect.
Answer:
C
Step-by-step explanation:
all x≠pi/2+pi n
2. Find the distance between point A and point B.
5 units
6 units
7 units
8 units
11 + 22x = 9 + 30x
(Please provide the steps to complete the equation)
Answer:
x = 4
PLS LOOK AT THE PIC I HAVE SENT YOU, HOPE THIS WILL HELP YOU!
Answer:
x = 1/4
Step-by-step explanation:
11 + 22x = 9 + 30x
subtract 22x from both sides
11 = 9 + 8x
subtract 9 from both sides
2 = 8x
divide both sides by 8
2/8 = x
simplify
1/4 = x
Please I need actual help with these!!!! I will mark brainliest if right! Please don't answer if you don't know it!!(I will report)
Answer:
Step-by-step explanation:
first pic
Statement. Reasons
1. AC is congruent to 1.Given
HF
2.BC is congruent to. 2. Given
FE
3. Measure angle ACB. 3. Right angles are congruent
is congruent to Measure
angle HFE
4. Triangle ABC is
congruent to Triangle HEF 4. SAS, side angle side
second pic
statement. reason
1.Angle K is congruent 1. Given
to angle M
2.KL equals ML. 2. Given
3.Measure angle KLJ. 3.Vertical angles are congruent
is congruent to Measure
angle MLP
4Triangle JKL is congruent. 4. ASA, angle side angle
to triangle PML
third pic
statement. reason
1. Already stated. 1. Already stated
2 PT congruent to RS. 2. Given
3. Angle PQT congruent 3. Verticle angles are congruent
to Angle RQS
4. trianlge PQT is congruent to Triangle RQS. 4. ASA, angle side angle
( hope this helps! )
the first picture is the answer
for number 1, if you look in the upper left hand corner, you will have the answer for the first statement
With 15 5/6 lbs of grain stored in the barn, Mrs.Levins will use 3 3/4 lbs to feed the goats.After feeding the horse's, 5 2/3 lbs of grain remains.How many pounds of grain were used to feed the horses?
Answer:
6 5/12
Step by step: Subtraction 15 5/6 - 3 3/4 = 12 1/2 - 5 2/3 = 6 5/12
algebra work please help needed
Answer:
64
Step-by-step explanation:
Hope this helps! :)
Answer:
64 is correct hope it helped have a good day mate
What is the slope for this table?
Answer:
7
Step-by-step explanation:
[tex]Slope=\frac{dy}{dx}= \frac{200-172}{28-24}=7[/tex]
Which ordered pair is a solution of the equation?
y = -2x - 5
A (1,7)
B (2,-7)
C Both
Answer:
A
Step-by-step explanation:
-7=-2(1) -5
1=x
7=y
Answer:
None
Step-by-step explanation:
I think there is another answer option for none.
-2(1) - 5 = -7
-2(-2) - 5 = -9
Its a if the 7 is -7
dfdhdbdgjkf,gdg help pls :)
Answer:
-0.8375
Step-by-step explanation:
Ava’s lunch bill was $8.70 and Allanah’s was $10.30. The girls’ uncle paid for the lunches and left a 15% tip. What amount did the girl’s uncle leave for a tip?
A) $2.85
B) $3.00
C) $21.85
D) $19.00
I appreciate anyone who answers this. ;)
Answer:a
Step-by-step explanation:
a because I just took the test
Answer:
your answer is d. $21.85
Given a set of data with the Regression Line: y = 3.5x + 18.5
What is the residual value for the ordered pair (100, 370)?
Answer:
1.5
Step-by-step explanation:
[tex]y=3.5*100+18.5=368.5\\rv=370-368.5=1.5[/tex]
please help it due in a lil bit
please and thank u
Answer:
D. 13.9
Step-by-step explanation:
Find the missing side
[tex]sin(60)= \frac{x}{16}[/tex]
x = 16 × [tex]sin(60)[/tex]
x = 13.9
It is sin because its opposite over hypotenuse
can someone please help me with this I'm being timed help asap
Answer:
for every x the y moves -4
Step-by-step explanation:
a) ¿Cómo varia el volumen de una piramide en relación a su altura si el área de la base no cambia?
Answer:Step-by-step explanation:
Answer:
si cambia su volumen cada vez se pone mas fina la piramide
Please Find the solution to the following system using substitution or elimination: y = 3x + 7 y = -2x -3
A. (-2,1)
B. (-2,-7)
C. (1,10)
D. (1,-4
What is the area of the trapezoid?
6 m
4 m
5 m
3 m
square meters
I urgently need help!!!!
Answer:
yes
Step-by-step explanation: The Hypotenuse-Leg Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.
PLEASE HELP ME! I WILL MARK BRAINLIEST IF YOU ARE CORRECT
Answer:
B
Step-by-step explanation:
The value of the polynomial for x = 3 is the value of P(3)
P(3) = 2(3)³ - 7(3)² + 7(3) - 12 = 54 - 63 + 21 - 12 = 0 → B
What is 4/6 x 6 as a mixed number?
Answer:
4
Step-by-step explanation:
4/6 x 6 can be thought of as 4/6 x 6/1.
When multiplying two fractions, multiply the numerator (top number) with the numerator and the denominator (bottom number) with the denominator.
So we have: (4x6) / (6x1)
Which can be simplified to: 24/6, or 4.
Let me know if this helps!
I NEED HELP REALLY QUICK (IN DBA)
find the dot product of the uv given: u v=
9514 1404 393
Answer:
19
Step-by-step explanation:
u =<2,5> v=<7,1>
The dot product is the scalar sum of products of corresponding components:
u·v = 2·7 + 5·1 = 14 +5 = 19
The dot product is 19.
What two numbers multiply to -24 and add to -5?
The two numbers that multiply to -24 and add to -5 are 3 and -8
How to determine the numbersFrom the question, we have the following parameters that can be used in our computation:
Product = -24
Sum = -5
Let the numbers be x and y
So, we have
xy = -24
x + y = -5
Let x be 3 and y be -8
So, we have
3 * -8 = -24
3 - 8 = 5
The above equations are true
Hence, the numbers are 3 and -8
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Yolanda wants to burn a total of 900 calories. So far, she has burned 596.9 calories. How many more calories must Yolanda burn? calories X Х $ ?
Principal = $2,400
Rate = 4%
Time = 30 months
Answer:
$240
Step-by-step explanation:
I = prt
I = (2,400) (0.04) (2.5)
note: I changed 4% to a decimal and 30 months to 2.5 years
I = 96 (2.5)
I = 240 <-- The interest
------------------------------------------------------------------------------------------------------------
The simple interest accumulated on a principal of $ 2,400.00 at a rate of 4% per year for 2.5 years (30 months) is $240.00.
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* Last time I did interest was in 6th grade and I don't remember much. So I am very sorry if my answer is wrong *
Solving factored equations. Does anybody have an example problem that they can show me?
Answer:
is this what you mean or something else?