Since both angles will be a part of triangle, and the third angle would be 90° as, the vertices meet at an centre of diagonal, hence they bisect each other.
7x-12 +(10x+5) = 90°
==> 17x -7= 90°
==> 17x = 97°
==> x = 97°/17
==> x = 5.70° (approx)
The perimeter of a rectangle is 64 feet. The length of the rectangle is 3 times the width of the rectangle. If w represents the width of the rectangle, the equation that represents the perimeter is 2 (3 w) + 2 w = 64. Which shows the first step that should be taken to verify that the width of the rectangle is 8? A regular hexagon and a rectangle have the same perimeter, P. A side of the hexagon is 4 less than the length, l, of the rectangle. The width of the rectangle, w, is 2 less than the length of the rectangle. What is the perimeter of the hexagon?
Step-by-step explanation:
given the perimeter is
64ft
the length l= 3w
we know that the perimeter of a rectangle is given as
P=2l+2W
but L=3w
64=2(3w)+2w
64=6w+2w
64=8w
divide both sides by 8 we have
w=64/8
w=8ft
also
let the lenght of the rectangle be l
side of hexagon=l-4
perimeter of hexagon
P=5(l-4)
P=5l-20
width of rectangle w=l-2
perimeter of rectangle= 2l+2w
but w=l-2
5l-20= 2l+2(l-2)
5l-20=2l+2l-4
5l-20=4l-4
5l-4l=-4+20
l=16ft
perimeter of hexagon
P=5(l-4)
put l=16
perimeter of hexagon
P=5(16-4)
p=5(12)
P=60ft
Answer: 2(3(8))+(2+8)=64 or c
Step-by-step explanation:
You have to replace w with 8 meaning 8 is now the width, therefore, c is the correct answer.
Please help I'm trying too keep my grades up I was crying I dont wanna fail
Answer:
No.
Step-by-step explanation:
[tex]10^{4} =(10)(10)(10)(10)\\10^{4} =10000\\[/tex]
[tex](10)(4)=40[/tex]
[tex]10000\neq 40[/tex]. Therefore, [tex]10^{4} \neq[/tex]10x4.
**Exponents expresses how many times the number it multiplied by it's own value. Such as [tex]x^{2}[/tex] is the same as (x)(x) since it is times by itself 2 times. Or, [tex]6^{8}[/tex] is the same as (6)(6)(6)(6)(6)(6)(6)(6) since it is times by itself 8 times.
Jocelyn can bake 48 cookies per hour. She needs to bake 120 total cookies and has already baked 24 cookies
Answer:
Step-by-step explanation:
it will take jocelyn 2 hours to make 120 cookies
1. Which is the smallest set of real numbers that contains the value below? -18 /6
A. Irrational Numbers
B. Rational Numbers
C. Natural Numbers
D. Integers
Answer:
Integers
Step-by-step explanation:
The correct option to choose is the integers option. Integers are simply whole numbers.
Thus-18/6 = -3
The term -3 is a whole number
So the term to choose is the integers option
The smallest set of real numbers that contains the value -18 /6 is an integer.
The smallest set of the real number that contains the value -18/6 can be determined after we have simplified the expression -18/6.
To simply the given expression, we will divide both the numerator and the denominator by 6, by doing so, we have:
= -3
Now, the smallest set of the real number is = -3 which is an integer
This is because an integer is a whole number that is not a fraction and can be negative or positive.
The reason why it is not a natural number is because of the negative sign, since we know that natural numbers are numbers with positive signs only.
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Lisa bought 5 CDS from a store. The price of each CD was the same. After she bought the CDs, her account balance showed a change of -$64.95. What would have been the change to Lisa’s account balance had she only bought 1 CD from the store?
Answer:
47
Step-by-step explanation:
They are dumpy because they can’t try
Prove that in any triangle the length of a side is less than the half of the perimeter in statement reason format.
Answer:
Proved
Step-by-step explanation:
I am going to pose c as the largest side in a random triangle
If so then remember that, by the triangle inequality, a + b > c. Let's start from there...
Statement: | Reasoning:
1. a + b > c 1. Triangle Inequality
2. a + b + c > c + c (adding c on both sides), 2. Algebra + Def. Of Perimeter
a + b + c > 2c (simplified)
Perimeter > 2c (definition of perimeter)
c < 1/2 * Perimeter
The prove of statement ''in any triangle the length of a side is less than the half of the perimeter'' is shown.
What is Perimeter?
The sum of all sides of a quadrilateral is called a perimeter.
Given that;
The statement is,
''In any triangle the length of a side is less than the half of the perimeter''.
Now,
Let sides of triangles are a, b and c.
The triangle inequality is;
a + b > c
Add both side by c;
a + b + c > c + c
a + b + c > 2c .... (i)
Since, Perimeter of a triangle with sides a, b and c is;
Perimeter (P) = a + b + c
Substitute value of perimeter in equation (i), we get;
a + b + c > 2c
P > 2c
c < P/2
Thus, In any triangle the length of a side is less than the half of the perimeter.
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Choose an equivalent expression for 106 ÷ 104.
Answer:
10^2
Step-by-step explanation:
When we divide exponents we subtract the exponenets in the top (in this case 6-4). This will give us 10^2. You can also check this.
The equivalent expression for 10⁶ ÷ 10⁴ will be 10². Then the correct option is A.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The numbers are given below.
10⁶ and 10⁴
The division of the numbers 10⁶ and 10⁴ will be given below.
⇒ 10⁶ ÷ 10⁴
⇒ 10⁶ / 10⁴
⇒ 10⁶⁻⁴
⇒ 10²
The equivalent expression for 10⁶ ÷ 10⁴ will be 10². Then the correct option is A.
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F and g are functions such that
F(x)=3/x2 and g(x)=2x3
A) find f(-4)
B) find fg(1)
a. The value of f(-4) is [tex]3 \div -8[/tex]
b. The value of fg(1) is [tex]3\div 4[/tex]
Calculation of the value of f(-4) and fg(1):Since [tex]F(x)=3\div x\times 2\ and\ g(x)=2\times x\times 3[/tex]
So,
a. The value of f(-4) is
[tex]= 3\div (-4)(2)\\\\= 3\div -8[/tex]
And,
b. The value of fg(1) is
[tex]= 3\div (2(1)^3)(2)\\\\= 3\div (2)(2)\\\\= 3\div 4[/tex]
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What is the domain of y = csc(x)?
all real numbers
all real numbers except n Pi + Pi/2, where n is any integer
all real numbers except n Pi, where n is any integer
all real numbers greater than 1 or less than -1
All real numbers except n Pi, where n is an integer. Option C is correct.
What is the difference between domain and range?The domain denotes all potential x values, while the range denotes all possible y values.
Given function;
y = csc(x)
Anything that is real, excluding n Pi, where n is an integer.
Hence option C is correct.
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Seven subtracted from twice a number gives 41, find this number.
Answer:
2x -7 = 41
2x = 41 +7
2x = 48
x = 24
. A bakery sells 1,230 cakes during a holiday season. One-third of them are caramel cakes, one-half are chocolate cakes, and the remaining are banana cakes. What is the total amount earned by the bakery by selling the cakes during the holiday season?
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Cakes = 1230[/tex]
[tex]Caramel = \frac{1}{3}[/tex]
[tex]Chocolate = \frac{1}{2}[/tex]
[tex]Banana = ??[/tex]
Required
Determine the total amount earned
The given parameters can't be used to determine the total amount earned.
However, we'll make some assumptions
First, we need to solve for the amount of each cake sold
[tex]Caramel = \frac{1}{3}[/tex]
[tex]Caramel = \frac{1}{3} * 1230[/tex]
[tex]Caramel = 410[/tex]
[tex]Chocolate = \frac{1}{2}[/tex]
[tex]Chocolate = \frac{1}{2} * 1230[/tex]
[tex]Chocolate = 615[/tex]
[tex]Banana = 1230 - 410 - 615[/tex]
[tex]Banana = 205[/tex]
Assume that:
Each caramel were sold at x
Each chocolate were sold at y
Each banana were sold at z
[tex]Total\ Amount = 410 * x + 615 * y + 205 * z[/tex]
[tex]Total\ Amount = 410x + 615y + 205z[/tex]
what is the slope of a line perpendicular to the line whose equation is x+y=-1
Answer:
perpendicular is opposite and reciprocal
Step-by-step explanation:
The slope is -1 and the reciprocal/ perpendicular is 1x
Answer:
the answer is 1
Step-by-step explanation:
PLEASE HELP NOW!!!
How does the graph of the function f(x + 3) compare to the graph of f(x)?
A.f(x + 3) has a vertical shift 3 units up from f(x).
B.f(x + 3) has a vertical shift 3 units down from f(x).
C.f(x + 3) has a horizontal shift 3 units to the right of f(x).
D.f(x + 3) has a horizontal shift 3 units to the left of f(x).
1)Write the ratio of oats to seeds in three different ways 5 cups of oats 3 cups of seeds 1 cup of nuts 2 cups of raisins
Answer:
5 to 3
5 : 3
5 / 3
Step-by-step explanation:
Given:
5 cups of oats
3 cups of seeds
1 cup of nuts
2 cups of raisins
Write the ratio of oats to seeds in three different ways
Ratios can be written in the form
1. A to B
2. A:B
3. A/B
There are 5 cups of oats 3 cups of seeds
Ratio of oats to seeds can also be written as
5 to 3
5 : 3
5 / 3
Which of the following shows a translation of f(x) two units down?
Answer:
f(x) - 2
Step-by-step explanation:
I just took the quiz
eight increased by a number *
O 8n
n - 8
8/n
O
n + 8
Answer:
n+8
Step-by-step explanation:
"A number" signifies the need for a variable, in this case, n. The keyword increased shows that the operation is addition. So put it together and you get n+8.
Answer:
the answer to it is n + 8. :3
I would love if someone helps me w this one
Answer:
2,7 is where the lines intersect
X=2
Y=7
correct me if i am wrong
Step-by-step explanation:
In the adjoining figure , AB = 6 , BC = 8 , [tex] \angle[/tex] ABC = 90° , BD ⊥ AC and [tex] \angle[/tex] ABD = [tex] \theta[/tex] , find the value of sin [tex] \theta[/tex].
Here we are given with a triangle with smaller triangles formed due to the altitude on AC. Given:
AB = 6BC = 8<ABC = 90°BD ⊥ AC<ABD = [tex] \theta[/tex]We have to find the value for sin [tex] \theta[/tex]
So, Let's start solving....
In ∆ADB and ∆ABC,
<A = <A (common)<ABC = <ADB (90°)So, ∆ADB ~ ∆ABC (By AA similarity)
The corresponding sides will be:
[tex] \sf{ \dfrac{AD}{AB} = \dfrac{AB}{AC} }[/tex]
We know the value of AB and to find AC, we can use Pythagoras theoram that is:
AC = √6² + 8²
AC = 10
Coming back to the relation,
[tex] \sf{ \dfrac{AD}{6} = \dfrac{6}{10} }[/tex]
[tex] \sf{AD = \dfrac{6 \times 6}{10} = 3.6}[/tex]
In ∆ADB, we have to find sin [tex] \theta[/tex] which is given by perpendicular/base:
[tex] \sf{\sin( \theta) = \dfrac{AD}{AB} }[/tex]
Plugging the values of AD and AB,
[tex] \sf{\sin( \theta) = \dfrac{3.6}{6} }[/tex]
Simplifying,
[tex] \sf{ \sin( \theta) = \dfrac{3}{5} = \boxed{ \red{0.6}}}[/tex]
And this is our final answer.....
Carry On Learning !
Write the relation as a set of ordered pairs.
a ordered pairs: {(-1,-2), (0, 0), (1, 2)}
b. ordered pairs: {(2,-1), (0, 0), (2, 1)}
c. ordered pairs: {(1, 2). (0, 0), (2, 1)}
d. ordered pairs: {(2,-1), (0, 0), (1, 2)}
Answer:
A
Step-by-step explanation:
Answer:
Option A
Step-by-step explanation:
it's Y over X
I also took this test on edge :)
Does anybody know anything about measuring Angles I need help?
Answer:
yes ....I can help please
let's take the example 2
x° and 68° forms right angle so it's 90°
so we'll add them to find x
x° = 90°- 68° = 22°
A company is trying to decide which container of coffee to buy for a staff meeting. Which of the following would be the best deal? Hint: find the best unit cost
Group of answer choices
32 ounces for $4.00
60 ounces for $6.75
48 ounces for $5.00
45 ounces for $4.50
What is the slope of a line that is parallel to the graph of 5x+4y=y?
Answer:
-5/3
Step-by-step explanation:
If 9 bottles of soy sauce cost $32.85 and the price of each bottle is the same, how much does each bottle cost?
Answer:
$3.65
Step-by-step explanation:
32.85/ 9 = $3.65
Answer:
$3.65
Step-by-step explanation:
this is easy lol
State the percent to the nerest tenth. Original= 311. New=300
Answer:
3.54%
Step-by-step explanation:
311-300=11
(11/311)×100=3.54 (2 d.p)
Zhang is designing protective packaging. He tests his design by dropping a raw egg protected by his packaging from various heights. He finds that the egg is protected up to a height of 11 meters. Zhang needs to convert the height from meters to yards for his report.
Unit of Length
Customary System Units
Metric System Units
1 inch
2.54 centimeters
1 foot
0.3048 meters
1 mile
1.61 kilometers
How many yards can the packaged egg drop without breaking? Use the table to find the answer. Round to the nearest hundredth.
10.06 yards
12.03 yards
18.04 yards
36.09 yards
Answer:
12.
03
Step-by-step explanation:
Carlos spent 1\dfrac141 4 1 1, start fraction, 1, divided by, 4, end fraction hours doing his math homework. He spent 1\dfrac141 4 1 1, start fraction, 1, divided by, 4, end fraction as much time practicing piano. How many hours did Carlos spend practicing piano?
Answer:
Carlos spent [tex]\frac{5}{16}[/tex] hours in practicing piano
Step-by-step explanation:
Carlos spent hours in doing his maths homework =[tex]1 \frac{1}{4}[/tex]
Carlos spent hours in doing his maths homework = [tex]\frac{5}{4}[/tex]
We are given that He spent 1/4 of his time practicing piano
So, Time spent by Carlos in practicing piano = [tex]\frac{1}{4} \times \frac{5}{4}[/tex]
Time spent by Carlos in practicing piano = [tex]\frac{5}{16}[/tex]
Carlos spent hours in practicing piano = [tex]\frac{5}{16} hours[/tex]
Hence Carlos spent [tex]\frac{5}{16}[/tex] hours in practicing piano
Simplify a - {b - [C- (d - e) -f]-g}.
Answer:
C+a−b−d−f+g+e
Step-by-step explanation:
what is x+x+y×y simplified
Answer:
x+x+yxy
= x^2 + y^2
x^2 + y^2 is the answer.
What is a simplification in math?In mathematics, genuinely or simplification is reducing the expression/fraction/hassle in a less complicated form. It makes the problem smooth with calculations and fixing.
Does simplifying suggest fixing?Associated with "simplification" troubles are some "solving" troubles. just as a few expressions include parentheticals or even nested grouping symbols, so additionally do some equations. The simplification manner is identical, whether we're running with expressions (and consequently handiest simplifying) or equations (so we are also solving).
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The blue dot is at what value on the number line?
Answer: I'm pretty sure the number line goes by 4, so the blue dot is on -10.
Step-by-step explanation:
21000+600+90+90+18=_____
like i dont know
Answer:
21,798
Step-by-step explanation:
Answer:
21798
Step-by-step explanation:
add them all up step by step