Answer:
B. 34 inches
Step-by-step explanation:
its 34 inches because you do 46x2 because of the two sides and you will get 92. Then subtract 92 from 160 to find out the other side and you will get 68. Then do 68÷2 because you have to find the other side and you will get 34
Find the product of 3.6 and 0.003
Answer:
0.0108
Step-by-step explanation:
3.6 multiplied by 0.003
1. First you write down the numbers one on top of the other
0.003
x 3.6
-----------
2. Multiply 6 by all the numbers in 0.003
0.003
x 3.6
-----------
0018
3. Multiply 3 by all the numbers in 0.003. But because "3" is followed by a number you leave a blank or a zero in the ones place
0.003
x 3.6
---------------
0018
+ 00090
---------------
4. Add the numbers you got
0.003
x 3.6
---------------
0018
+ 00090
---------------
00108
5. Count the number of decimal points or numbers after the decimal point in both numbers and add them
3.6 = one decimal place
0.003= three decimal places
Three plus one = four
6. Count the total number of decimal places
0010.8 = one decimal place
001.08 = two decimal places
00.108 = three decimal places
0.0108 = four decimal places
Hello can someone please help me ??? Solve the following system of equations graphically on the set of axes ?? y=2/3x+3 ...................................................................y=- 4/3-3 both of them on graph Please. ...
keeping in mind that the solution to a system of equations is where the graphs of the equations meet or intersect, Check the picture below.
What is the slope of a line perpendicular to the line whose equation is
5x – 2y = -10. Fully simplify your answer.
On a coordinate plane, DEF has vertices D(1,2), E(7,2)and F(1,9). What is the distance between point E and F?
Step-by-step explanation:
Using distance formula,
Let the distance between point E and F = ef,
[tex]ef = \sqrt{{(7 - 1)}^{2} + {(2 - 9)}^{2} } \\ ef = \sqrt{85} \\ = 9.219544457[/tex]
Name three coplanar points on plane HGD.
The plane HGD contains at least three points
The three points on the plane are H, G and D
What are coplanar points?Coplanar points are at least three points that are in the same plane
How to name the points?The name of the plane is given as:
Plane = HGD
The above means that points H, G and D are on the plane HGD
Hence, the three points on the plane are H, G and D
Read more about coplanar points at:
https://brainly.com/question/1593959
ans this question pleasepleasee i need it now 11:19 am
Step-by-step explanation:
Just times all the number for every question like the first one, 4×4×4=64(units)
=64ft
Same for the rest
Application of Geometric Series
Answer:
7.2224
Step-by-step explanation:
The value of the summation is given by the formula ...
Sn = (a1)(1 -r^n)/(1 -r) . . . . . where a1 is the first of n terms, and r is the common ratio.
Your sum has first term and ratio ...
a1 = 2(0.6) . . . . . summation term for n=1
r = 0.6
So the sum is ...
[tex]\displaystyle \sum_{n=1}^4{2(0.6^n)}=2(0.6)\dfrac{1-0.6^4}{1-0.6}=\dfrac{1.2}{0.4}(0.8704) = 2.6112[/tex]
Then the value of the entire given expression is ...
[tex]\displaystyle 2+2\sum_{n=1}^4{}2(0.6^n)=2+2(2.6112)=\boxed{7.2224}[/tex]
_____
A calculator can help you find the value.
6. Kayla is planning to buy a new phone. Rongers charges $0 for down payment plus $127 monthly fee. Fidoll charges $363 for down payment plus $94 monthly fee.
a) When will the two plans charge the same amount (the same number of months for both plans)?
b) If both plans are contracted for 2 years (24 months), which plan would you recommend to Kayla? Explain.
Answer:
See below ↓↓
Step-by-step explanation:
Plan 1
0 + 127xPlan 2
363 + 94xPart A
Equating them
⇒ 127x = 363 + 94x
⇒ 33x = 363
⇒ x = 11 months [They will be same at this point]
Part B
⇒ Plan 1 : 127(24) = $3048
⇒ Plan 2 : 363 + 94(24) = 2256 + 363 = $2619
⇒ I would recommend Plan 2 as it costs less for the time period of 2 years
What is the slope of a line perpendicular to the line with equation y = 4x + 5?
4
−14
−4
−5
Answer:
Slope= 4
Step-by-step explanation:
y=mx+b
4x
4= slope
I would really appreciate the help on this please
Answer:
[tex]{x}^{3} + 2x ^{2} - 6x + 45[/tex]
Step-by-step explanation:
sorry I didn't write it out...
Find the area
A. 775
B. 625
C. 475
Answer:
625 in²
Step-by-step explanation:
⇒ Area of the figure = Area of the rectangle + Area of the triangle
Finding the base of the triangle
b² = 25² - 15²b² = 625 - 225b² = 400b = 20 in.Finding Area
A = 25 x 19 + 1/2 x 20 x 15A = 475 + 150A = 625 in²Which number is located between 1.2 and 1.4 on the number line
What is the difference between 8x^3-2x^2+5x-7 and 5x^3-3x^2-2x+4?
Answer:
B. 3x³ - 5x² + 3x - 3
Step-by-step explanation:
8x³ - 2x² + 5x - 7 - 5x³ - 3x² - 2x + 4 <== combine like terms
3x³ - 5x² + 3x - 3
Hope this helps!
Based on the graphs of the equations y = 2x + 4 and y = x2 – x + 4, the solutions are located at points:
(3, 10) and (–2, 0)
(–2, 0) and (0.5, 3.75)
(3, 10) and (0, 4)
(0.5, 3.75) and (0, 4)
The solution of the equations y = 2x + 4 and y = x² – x + 4 will be (0, 4) and (3, 10). Then the correct option is C.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The system of the equations are given below.
y = 2x + 4 …1
y = x² – x + 4 …2
From equation 1 and 2, then the equation will be
x² – x + 4 = 2x + 4
x² – 3x = 0
x(x – 3) = 0
x = 0, 3
At x = 0, the value of the y will be
y = 2(0) + 4
y = 0+ 4
y = 4
At x = 3, the value of the y will be
y = 2(3) + 4
y = 6 + 4
y = 10
Thus, the solution of the equations will be (0, 4) and (3, 10).
Then the correct option is C.
The graph of the line and the parabola is given below.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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x= 1+ root 2. find (x-1/x)³
I m in grade 9
Answer:
2√2 / (5√2 + 7)
Step-by-step explanation:
Given :
x = 1 + √2Expanding
(x - 1 / x)³(1 + √2 - 1)³ / (1 + √2)³(√2)³ / (1 + √2)³2√2 / 1 + 2√2 + 3(1)(√2)(1 + √2)2√2 / 1 + 2√2 + 3√2 + 62√2 / (5√2 + 7)Answer:
[tex]-14\sqrt{2}+20[/tex]
Step-by-step explanation:
[tex]\textsf{Substituting}\quad x=1+\sqrt2\quad\textsf{into}\quad\left(\dfrac{x-1}{x}\right)^3[/tex]
[tex]\implies \left(\dfrac{(1+\sqrt2)-1}{(1+\sqrt2)}\right)^3[/tex]
[tex]\implies \left(\dfrac{\sqrt2}{1+\sqrt2}\right)^3[/tex]
[tex]\textsf{Apply exponent rule}:\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}[/tex]
[tex]\implies \dfrac{(\sqrt2)^3}{(1+\sqrt2)^3}[/tex]
Expand numerator:
[tex](\sqrt{2} )^3=\sqrt{2}\sqrt{2}\sqrt{2}=2\sqrt{2}[/tex]
Expand denominator:
[tex]\begin{aligned}(1+\sqrt2)^3 & = (1+\sqrt2)(1+\sqrt2)(1+\sqrt2)\\ & =(1+\sqrt2)(1+2\sqrt{2}+2)\\ & =1+2\sqrt{2}+2+\sqrt{2}+2\sqrt{2}\sqrt{2}+2\sqrt{2}\\ & = 7+5\sqrt{2}\end{aligned}[/tex]
[tex]\implies \dfrac{(\sqrt2)^3}{7+5\sqrt2}[/tex]
Substituting expanded numerator and denominator:
[tex]\implies \dfrac{2\sqrt{2}}{7+5\sqrt2}[/tex]
[tex]\textsf{Mulitply by conjugate :}\quad\dfrac{7-5\sqrt2}{7-5\sqrt2}[/tex]
[tex]\implies \dfrac{2\sqrt{2}(7-5\sqrt2)}{(7+5\sqrt2)(7-5\sqrt2)}[/tex]
[tex]\implies \dfrac{14\sqrt{2}-20}{49-50}[/tex]
[tex]\implies \dfrac{14\sqrt{2}-20}{-1}[/tex]
[tex]\implies -14\sqrt{2}+20[/tex]
Good people please help me!!!!
Answer:
a) |sec(θ)|
b) 2cot(2x)
Step-by-step explanation:
Trig identities are used to simplify these expressions. Several are used:
tan(180°-x) = -tan(x)cot(90°-x) = tan(x)1 +tan(x)² = sec(x)²tan(x) = sin(x)/cos(x)sin(2x) = 2sin(x)cos(x)cot(x) = cos(x)/sin(x)__
a.[tex]\sqrt{1-\tan(180^\circ-\theta)\cot(90^\circ-\theta)}=\sqrt{1-(-\tan(\theta))\tan(\theta)}\\\\=\sqrt{1+\tan^2(\theta)}=\sqrt{\sec^2(\theta)}=\boxed{|\sec(\theta)|}[/tex]
__
b.[tex]\dfrac{\cos(2x)\tan(x)}{\sin^2(x)}=\dfrac{\cos(2x)}{\sin^2(x)}\cdot\dfrac{\sin(x)}{\cos(x)}=\dfrac{\cos(2x)}{\sin(x)\cos(x)}\\\\=\dfrac{\cos(2x)}{\left(\dfrac{\sin(2x)}{2}\right)}=2\dfrac{\cos(2x)}{\sin(2x)}=\boxed{2\cot(2x)}[/tex]
Here help my sis needs help
Let's complete
(2,8)(3,12)(4,16)Rule following=4n
(5,20)(6,24)#2
The rule is 4n
#3
Let's see
4n=48n=12ydThe perimeter of a rectangle is 120 meters and the length is 20 meters longer than the width. Find the dimensions of the rectangle. Let x = the length and y = the
2+2y = 12)
width. The corresponding modeling system is 2x + 2y =120 x-y = 20
Solve the system graphically
The dimension of the rectangle is 40meters by 20meters
What is the perimeter of a figure?The perimeter of a figure is the sum of all the external sides of the figure
The formula for calculating the perimeter of rectangle = 2(l+w)
If the length is 20 meters longer than the width, then;
l = 20 + w
Substitute
120 = 2(20+2w)
60 = 20 + 2w
30 = 10 + w
w = 20 meters
Since l = 20 + w
l = 20 + 20
l = 40 meters
Hence the dimension of the rectangle is 40meters by 20meters
Learn more on perimeter of figure here: https://brainly.com/question/22447290
Use 2-3 sentences to explain, in your own words, why the two acute angles in a right
triangle are complementary using the following vocabulary words: right triangle, acute
angles, angle sum theorem, and degrees.
Answer:
In a right triangle, we know that there is one 90 degree angle and two acute angles. The angle sum theorem states that the sum of all angles in a triangle equal 180 degrees. For this reason, we know that these two acute angles must equal 90 degrees or be complementary angles to add up with the 90 degree right angle and equal 180.
I hope this helps!
Answer:
In a right triangle, the angle opposite the hypotenuse is always 90 degrees. The angle sum theorem states that the sum of the interior angles of a triangle is 180 degrees. Therefore, the other two angles sum to 90 degrees, which means they are complementary. They are also acute angles, since they are each less than 90 degrees.
The measures of two angles of a triangle are 29° and 61°. Is the triangle acute, right, or obtuse? Use geometric terms in your explanation.
Complete part (a) and part (b) given the following system of equations x-y=0 2x + 3y = -5 Solve this system graphically.
Answer:
(-1, -1)
Step-by-step explanation:
x - y = 0 ------> x = y
2x + 3y = -5
2(y) + 3y = -5
5y = -5
y = -1
x - (-1) = 0
x = -1
The solution to this system is (-1, -1). To solve graphically, plot both functions and you will see that they intersect at (-1, -1).
I hope this helps!
Drag each equation to the correct location on the table.
Match the inequalities with the value of a for which they hold true.
2a + 3 < 9 − 3a
5a − 4a + 6 < 8
2a + 3 > 10 − 3a
4 + 3a + 8 < 16
3a − 2a + 1 > 2
14 + 5a < 12a + 1
a=1
-2a + 3 < 9 − 3a
5a − 4a + 6 < 8
2a + 3 > 10 − 3a
a=2
-4 + 3a + 8 < 16
14 + 5a < 12a + 1
3a − 2a + 1 > 2
Natasha cut a round pizza into 8 equal slices .What is the angle measure of each slice?Write and solve an equation.
Debbie receives 25% commission on all sales. Her sales totalled $400. How much commission does she earn?
Answer:
$100
Step-by-step explanation:
Debbie's earnings are found by multiplying her commission rate by her sales:
0.25 × $400 = $100
Debbie earns $100 commission on her sales.
16 The three models below are each shaded to represent a different fraction.
What is the sum of the fractions represented by the shaded parts of the
models?
Answer:
C
Step-by-step explanation:
3/5 + 2/5 + 4/5 = 1 4/5 or 9/5
Answers are c !!!
Step-by-step explanation:
if you added them you would get c I think hope this helps!!
True or False?
(–3)^22 is greater than (–2)^33
Answer:
true
Step-by-step explanation:
(-3)^22 -> to the power of an even number -> answer is positive
(-2)^33 -> to the power of an odd number -> answer is negative
positive # > negative #
Answer:
True
Step-by-step explanation:
First let's compare them.
(-3)²² (-2)³³-3 raised to an even power will give a positive number.
-2 raised to an odd power will give a negative number.
Therefore, (-3)²² > (-2)³³ is a true statement.
A company’s stock increases from $18.30 to $54.90 over a 3-year period. What is the percent increase?
Answer:
the answer is 66.67%
Step-by-step explanation:
54.90-18.30=36.60
36.60÷54.90×100=66.666666666... or 66.67%
Simply the given expressions below.
a) 4x + 8 - 2x + 7
b) 2n ×5 ×2a
please answer it and clear..give them brainlest answer
Step-by-step explanation:
a) 4x + 8 - 2x + 7
= 2x +15
b) 2n × 5 × 2a
= 10n × 2a
= 20an
Answer:
a) 2x+15
B) n =(2-√44)/4=(1-√ 11 )/2= -1.158 or
n =(2+√44)/4=(1+√ 11 )/2= 2.158
Step-by-step explanation:
a.4x+8-2x+7
4x+15-2x
=2x+15
A runner's journal shows the number of miles run each day for a week:
Sunday: 1 miles
Monday: 4 miles
Tuesday: 7 miles
Wednesday : 10 miles
Thursday: 13 miles
Friday: 16 miles
Saturday:
Based on the arithmetic sequence how many miles are planned for Saturday?
The number of miles planned on Saturday is 19 milea
What is an arithmetic sequence?This means the sequence where the difference between one term and the next term is a constant.
In this case, the following information are illustrated:
Sunday: 1 miles
Monday: 4 miles
Tuesday: 7 miles
Wednesday : 10 miles
Thursday: 13 miles
Friday: 16 miles
As we can see there's a difference of three between them. This can be seen as:
= 4 miles - 1 mile
= 3 miles
Therefore, the number planned on Saturday will be:
= Friday + 3 miles
= 16 miles + 3 miles
= 19 miles
Learn more about sequence on;
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An arithmetic series contains 14 numbers. The first number is 12. The last number is 38. What is the sum of the series?
312
350
494
700
Answer: The answer is B:350
Step-by-step explanation:
edge
Answer:
B
Step-by-step explanation:
Got it right
