Answer:
Step-by-step explanation:
64.16
find the value of x in the isosceles triangle shown below
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
[tex]x=\sqrt{52-4^2}=6[/tex]
Math 1 Sem 1 1 2.1.5 Quiz: Naming Functions Question 4 of 6 When you read S(h) aloud, you can shorten it to "S of h." O A. True O B. False
Answer: True!
Step-by-step explanation: When you pronounce the function you say it as is. :) Please rate and like thank you.
please help i am stuck and trying not to fail lol. also if you can show work pls
Given:
The figure of rectangle.
To find:
a. The diagonal of the rectangle.
b. The area of the rectangle.
c. perimeter of the rectangle.
Solution:
(a)
In a right angle triangle,
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin 30=\dfrac{12}{Hypotenuse}[/tex]
[tex]\dfrac{1}{2}=\dfrac{12}{Hypotenuse}[/tex]
[tex]Hypotenuse=12\times 2[/tex]
[tex]Hypotenuse=24[/tex]
So, the diagonal of the of the rectangle is 24 units.
(b)
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\tan 30=\dfrac{12}{Base}[/tex]
[tex]\dfrac{1}{\sqrt{3}}=\dfrac{12}{Base}[/tex]
[tex]Base=12\sqrt{3}[/tex]
Length of the rectangle is 12 and width of the rectangle is [tex]12\sqrt{3}[/tex]. So, the area of the rectangle is:
[tex]Area=length \times width[/tex]
[tex]Area=12 \times 12\sqrt{3}[/tex]
[tex]Area=144\sqrt{3}[/tex]
So, the area of the rectangle is [tex]144\sqrt{3}[/tex] sq. units.
(c)
Perimeter of the rectangle is:
[tex]P=2(length+width)[/tex]
[tex]P=2(12+12\sqrt{3})[/tex]
[tex]P=24+24\sqrt{3}[/tex]
[tex]P\approx 65.57[/tex]
Therefore, the perimeter of the rectangle is about 65.57 units.
Select the correct answer.
What is the factored form of this expression?
X^2 - 12x + 36
OA. (x+6)^2
OB. (x - 12)(x - 3)
OC. (x-6)^2
OD. (x-6)(x+6)
Answer:
C
Step-by-step explanation:
since -6 and -6 are factors of 36 that add up to equal -12, the factored form of the expression is (x-6)^2.
A dressmaker buys flannel fabric by the yard. A purchase
of 5 yards of flannel costs $40. How many yards of flannel
would the dressmaker be able to buy for $36?
Answer:
4.5yards
Step-by-step explanation:
$40 =5yards
$36 =?
36*5=180÷40
=4.5yards
The dressmaker would be able to buy 4.5 yards of flannel for $36.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
WE have been given that dressmaker buys flannel fabric by the yard. A purchase of 5 yards of flannel cost $40 then we need to find yards of flannel would the dressmaker be able to buy for $36.
Given ; $40 =5yards
$36 =?
Therefore, we get
36*5 = 180÷40
= 4.5yards
Hence, the dressmaker would be able to buy 4.5 yards of flannel for $36.
Learn more about the unitary method;
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two hikers walk on the trans-canada trail for 5.0 h and cover 42km what is there average speed for the trip
Answer:
about 8 km per hour
Step-by-step explanation:
8 kilometers every hour for 5 hours is 40 km wich is very close to 42km. hope this helps
Create an algebraic expression to solve the following problems.
a) Jeff’s cell phone plan charges him $10 per GB with no extra fees. How much will his bill be for 6 GB?
b) Marks cell phone charges him $8 per GB and a monthly fee of $15 how much will his bill be for 10 GB
c) Ricks cell phone plan charges him $5 per GB and a monthly for of $30. How much will his bill be for 2 GB?
PLEASE ANSWER PLEASE
Answer:
Step-by-step explanation:
x is the number of GB
f(x) is the cost in dollars
f(x) = 10x
Bill for 6 GB = f(6) = 60
:::::
f(x) = 8x+15
Bill for 8 GB = f(10) = 95
:::::
f(x) = 5x+30
Bill for 2 GB = f(2) = 40
The scatter plot shows the heights ( in inches) and the shoe sizes of eight men. What is the height of the man whose shoe size is 12?
NO LINKS!!!
Answer: 72 inches
Step-by-step explanation:
Select the correct answer. Given: is a rectangle with vertices , , , and , where . Prove: is a square. Statements Reasons 1. is a rectangle with vertices , , , and . 1. given 2. units 2. ? 3. units 3. distance formula 4. 4. ? 5. is a square. 5. ? What is the correct order of reasons that complete the proof?
The correct order of reasons that complete the proof is:
Given
AB = 6 units
BC = 4 units
AC = 4 units
Diagonals are congruent
AC = BD = 4 units
ABCD is a rhombus
ABCD is a square.
Based on the given statements and reasons, let's determine the correct order of reasons to complete the proof that ABCD is a square.
Given: ABCD is a rectangle with vertices A, B, C, and D.
Reason: Given.
AB = 6 units.
Reason: The length of AB is given as 6 units.
BC = 4 units.
Reason: The length of BC is given as 4 units.
AC = 4 units.
Reason: Since ABCD is a rectangle, opposite sides are equal. Therefore, AB = CD = 6 units and BC = AD = 4 units.
Diagonals are congruent.
Reason: In a rectangle, the diagonals are congruent. Therefore, AC = BD.
AC = BD = 4 units.
Reason: From reason 4, we know that AC = 4 units. From reason 5, we know that AC = BD.
ABCD is a rhombus.
Reason: In a rhombus, all sides are equal, and opposite angles are congruent. Since AC = BD = 4 units (reason 6), ABCD satisfies the properties of a rhombus.
ABCD is a square.
Reason: In a square, all sides are equal, and all angles are right angles. Since ABCD is a rectangle (reason 1) and a rhombus (reason 7), it must also be a square.
Therefore, the correct order of reasons that complete the proof is:
Given
AB = 6 units
BC = 4 units
AC = 4 units
Diagonals are congruent
AC = BD = 4 units
ABCD is a rhombus
ABCD is a square.
For more questions on square
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Bart owns a neighborhood Kwik-E-Mart. At the end of the day on Wednesday, he counted total receipts in his store of $8,399.70. If the sales tax on food items is 2%, how much merchandise did Bart sell on Wednesday? How much sales tax did he collect?
Which numbers between 10 and 20 do not appear in the table at all?
Why don’t they appear?
Answer:
the answer is 11, 13, 17
Step-by-step explanation:
this is because they do not have any even number that multiplies into them.
SUPER EASY QUESTION WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!!!!!!
what is 11683.94 rounded to the nearest tenth.
Answer: It's 11683.9
Step-by-step explanation:
what makes 1/3 x > 12 true
Answer:
I dont know I am sorry I really had to ask a question and i don't have enough points so sorry you can report me if you want but I really need some
WILL GIVE BRAINLIEST to whoever solves this entire problem (completes all the steps). I WILL REPORT if you just steal the points without giving an answer. I know this is really long but I really need help on this and am low on time. To whoever answers this, thank you so much, you are a life saver.
We created this inequality to represent how Amy can meet her revenue goals:
-100x2 + 15,750x + 212,500 ≥ 243,600
In this activity, you’ll solve this inequality to find the minimum ticket price Amy should charge to meet her minimum revenue goal.
Step 1: set the inequality greater than or equal to zero
Step 2: simplify the inequality by dividing by the GCP so the leading coefficient is positive
Step 3: factor the left side of the inequality by grouping
Step 4: solve the quadratic inequality. Remember to check any possible solutions for viability.
Step 5: what is the minimum number of $2 increases that Amy needs to apply to the ticket price to reach her desired revenue?
Step 6: What’s the minimum ticket price that Amy can charge and reach her goal? Recall that the ticket price is represented by 25 + 2x, where x represents the number of $2 increases.
Seriously thank you to anyone who does this. I am low on time and this helps a bunch.
Trust me these are the correct answers :)
Answer:
Part A: -100x2 + 15,750x − 31,100 ≥0
Part B: 2x2-315x+622 ≤0
Part C: (2x-311)(x-2) ≤0
Part D:2 ≤ x ≤ 155.5
Part E: We know x = number of $2 increases. So, from the compound inequality, 2 ≤ x ≤ 155.5, we can conclude that the minimum possible value of x is 2.
Part F: 29
help plss i'm lost i need help
Answer:
2) +20
4) +14
5) -100
6) -17
7) 10
8) -9
9) -8
10) +11
Step-by-step explanation:
look at the words and it will tell you whether it's positive or negative
ex. one hundred feet below sea level- it says below which means you would be going down
What is the solution set of x2 – 10 = 30x?
{–220, 250}
{–250, 220}
{15 – StartRoot 235 EndRoot, 15 + StartRoot 235 EndRoot}
{–15 – StartRoot 235 EndRoot, –15 + StartRoot 235 EndRoot}
9514 1404 393
Answer:
(c) {15 -√235, 15 +√235}
Step-by-step explanation:
For solutions p and q, the trinomial is ...
(x -p)(x -q) = x² -(p+q)x +pq
That is, the constant term (-10) must be the product of the roots, and the x-coefficient (-30) must be the opposite of their sum.
The sums of roots in the answer choices are ...
a) 30
b) -30
c) 30
d) -30
We know the sum of roots is 30, so we can eliminate choices 'b' and 'd'.
The product of the roots must be -10, eliminating choice 'a'. Thus, the only viable choice is C.
_____
The product of the roots of C is ...
(15 -√235)(15 +√235) = 15² -235 = -10 . . . . as required
Answer:
C
Step-by-step explanation:
What is total area of the shaded sections
Answer:
Step-by-step explanation:
The shaded region is triangle.
Base = 1.1 in
Height = 3.8 in
Area of triangle = [tex]\frac{1}{2}*base * height[/tex]
[tex]=\frac{1}{2}*1.1*3.8\\\\= 1.1 * 1.9\\\\= 2.09 in^{2}[/tex]
Area of shaded region = 2 * 2.09 = 4.18 square inches
If x = 1 does x² - x = 0?
Answer:
Yes it does
Step-by-step explanation:
we would like to Prove the following for x=1:
[tex] \displaystyle {x}^{2} - x = 0[/tex]
since x=1 substitute:
[tex] \displaystyle {1}^{2} - 1 \stackrel {?}{=}0[/tex]
to simplify it we can consider the order of PEMDAS which is a abbreviation of
ParenthesesExponentMultiplication orDivision Addition orSubstractionsince exponent come first
simplify exponent:
[tex] \displaystyle {1}^{} - 1 \stackrel {?}{ = }0[/tex]
simplify substraction:
[tex]\displaystyle 0 \stackrel { \checkmark}{ = }0[/tex]
since left hand side equal to right hand side
hence, Proven
Alternate way:use a²-b²=(a+b)(a-b) to rewrite:
[tex] \displaystyle (x + \sqrt{x} )(x - \sqrt{x} ) = 0[/tex]
since x=1 substitute:
[tex] \displaystyle (1 + \sqrt{1} )( 1- \sqrt{1} ) \stackrel {?}{=} 0[/tex]
simplify square root:
[tex] \displaystyle (1 + 1)( 1- 1 ) \stackrel {?}{=} 0[/tex]
simplify parentheses:
[tex] \displaystyle (2)( 0) \stackrel {?}{=} 0[/tex]
Multiplying any number by 0 results 0 thus
[tex] \displaystyle 0 \stackrel { \checkmark}{=} 0[/tex]
since left hand side equal to right hand side
hence, Proven
Given,
x = 1
We need to find if x² - x = 0 is true or false.
If x = 1, then x² will be equal to 1² = 1 (1 multiplied by 1 is one / 1 square is equal to 1)
So,
=》x² - x = 0
By substituting ...
=》1² - 1 = 0
Now calculate...
=》1 - 1 = 0
=》0 = 0
•°• The given statement is true.
_____
RainbowSalt2222 ☔
what percentage of this shape is shaded?
Answer:
50%
Step-by-step explanation:
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer: all of dem except for 6
Step-by-step explanation:
Help me out I’ll give a stars real answers only.
Answer:
Step-by-step explanation:
Which of the fractions is equivalent to 2/5?
Answer:
4/10, 6/15, 8/20, 10/25
Step-by-step explanation:
ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
DR
X 148
B
>C
AT
Angles are not drawn to scale.
Answer:
Solution given:
x+148=180°[linear pair]
x=180°-148=32°
x=32° is your answer
Answer:
Solution:
Given,
X+48°=180°
X=180°-48°
X=32°
so,
X=32° answer
hope it is helpful to you
What us this cab someone help? 1 1-18 = 4
Answer:
Y= -72
Step-by-step explanation:
I dont know if that was the answer needed
Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures θ radians (where 0≤θ<2π). The circle's radius is 2 units long and the terminal point is (−1.15,−1.64).
The terminal point is how many radius lenghts to the right of the circle's center?
h=
Then, cos−1(h)=
Does the number we get in part (b) give us the correct value of θ?
Therefore, θ=
Answer:
hello attached below is the sketch of the missing diagram
a) h = 2
b) cos^-1 ( 2 ) = ∞
c ) θ ≈ 215°
Step-by-step explanation:
a) The length ( h ) to the right of the circles center
= h^2 = ( -1.15)^2 + ( -1.64)^2
∴ h = 2
b) cos^-1 ( 2 ) = ∞
c) The value gotten from b does not give us the value of θ
AB = - 1.64
BC = -1.15
AC = 2
sin^-1 ( - 1.64 / -1.15 )
cos^1 ( -1.15 / 2 ) gives us the value of θ
tan^-1 ( -1.64 / -1.15 )
∴ θ ≈ 215°
Each side length is doubled. What is the AREA of the new figure?
Answer:
24 square units
Step-by-step explanation:
When the sides are doubled, new figure so obtained will have:
Base (b) = 2*3 = 6 units
Height (h) = 2*4 = 8 units
Area of the figure when each sides are doubled
[tex] = \frac{1}{2} \times b \times h \\ \\= \frac{1}{2} \times 6 \times 8 \\ \\ = 3 \times 8 \\ \\ = 24 \: square \: unite[/tex]
We write "3.4 cm + 4.3 cm = 7.7 cm," but the sum could be as small as --------- cm
Answer:
the smallest value of the sum is 7.65 cm.
Step-by-step explanation:
Given;
3.4 cm + 4.3 cm = 7.7 cm
To obtain the least value of the given result, we will apply the rounding-off method;
In the rounding-off method, digits between 0 to 4 will be rounded down to zero while digits between 5 and 9 will be rounded up to 1.
The smallest value of 7.7 cm = 7.65 cm (5 will be rounded up to 1 making 7.65 cm approximately 7.7 cm)
Also, other possible values of 7.7 cm include;
7.66 cm, 7.67 cm, 7.68 cm, 7.69 cm
Note :7.64 cm cannot be rounded up to 7.7 cm because 4 will be rounded down to zero making 7.64 cm approximately 7.6 cm.
Therefore, the smallest value of the sum is 7.65 cm.
5. Find the surface area of a sphere with
the radius of 1.5 cm.
a. 28.26 cm
b. 7.065 cm
c. 18.84 cm
d. 14.13 cm
Solve for x....................................
Answer:
x = 4.5 is the answer to the question
Please help no links please help no links