Step-by-step explanation:
you heard of the Pythagoras formula for rectangular triangles ?
c² = a² + b²
c is the Hypotenuse (the side opposite of the 90 degree angle), a and b are the other 2 sides touching the 90 degree angle.
so, in your case here we have therefore
x² = 8² + 6² = 64 + 36 = 100
x = sqrt(100) = 10
you know "sqrt" is an international abbreviation for square root : the opposite of squaring a number.
I divide my favorite number by its reciprocal , the quotient is 10 times as large as my favorite number. My favorite number is..
A. 1/10
B. 1/5
C. 1/2
D. 10
Answer:
1/10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
x is the favorite number
x÷[tex]\frac{1}{x}[/tex] = 10x (flip the fraction and multiply)
[tex]x^{2}[/tex]=10x (divide both sides by x)
x=10
A roof repairer works out that he will need to work with a colleage charges $20 per hour. In the end, they took 6 hours to fix the roof.
a. Write an expression with parentheses to describe how much the homeowner ownes for labor.
b. Evaluate your expression to calculate the cost of the labor.
a) 20(x)=y
b) $120
Let x= number of hours
Let y= Cost of labor
20 will remain constant, what matters is how many hours are being worked. If it's $20 per hour then it's safe to assume 1 hour is 20 dollars worth of labor. Due to it being per hour you have to multiply the rate by however many hours worked to get your final cost.
Evaluate with help of distributive property :
i. 425 x 136 ii. 4005 x 67
Answer:
1 : 57,800.
2: 268,335
Step-by-step explanation:
hope it helps you
The expressions are evaluated using distributive property below -
We have -
i. 425 x 136
ii. 4005 x 67
We have to evaluate them with help of distributive property.
State the property of distributivity of multiplication over addition.Distributive property of multiplication over addition :
a × (b + c) = a × b + a × c
According to question, we have -
i. 425 x 136
ii. 4005 x 67
Now -
425 x 136 = 425 x (6 + 30 + 100) = 425 x 6 + 425 x 30 x 425 x 100
and
4005 x 67 = 4005 x (60 + 7) = 4005 x 60 + 4005 x 7
Hence, the evaluation using distributive property is done.
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Jasper Hall sells farm chemicals. He is paid a commission of 99% of his first $6,000 in sales during the month and 14% on all sales over $6,000. What is his commission in a month in which he has sales worth $16,120?
Amount of total commission is $1,956.8 (Approx.)
Given:
Percent of commission upto $6,000 sale = 9% (Misprint)
Percent of commission over $6,000 sale = 14%
Amount of total sales = $16,120
Find:
Amount of total commission
Computation:
Amount of commission upto $6,000 sale = 6000 × 9%
Amount of commission upto $6,000 sale = $540
Amount remain = 16120 - 6000
Amount of commission upto $6,000 sale = $10,120
Amount of commission over $6,000 sale = 10,1200 × 14%
Amount of commission over $6,000 sale = $1,416.8
Amount of total commission = Amount of commission upto $6,000 sale + Amount of commission over $6,000 sale
Amount of total commission = 540 + 1,416.8
Amount of total commission = 1956.8
Amount of total commission = $1,956.8 (Approx.)
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Using deductive reasoning, write the converse, inverse, and contrapositive of an if-
then statement.
Answer:
give brainliest please I need it to level up
Step-by-step explanation:
p -> q
converse
~p-> ~q
inverse
q-> p
Contrapositve
~q-> ~p
find the square root of 169 step by step explain
Answer:
13
Step-by-step explanation:
13 x 13 = 169
hi guys i need help with this problem ASAP! Thanksss
Answer:
56
Step-by-step explanation:
There are 8 members therefore if each other makes an exchange to one another, that would be 7 exchanges per person. 8*7= 56
[tex]\huge\mathfrak\green{ hope \: it \: helps}[/tex]
Name each angle four ways.
Answer:
right angled triangles
If some one could figure out the x and y are
The problem is
3x+4y=50
-2x=y
Answer:
x = -10
y = 20
Step-by-step explanation:
y = -2x
so
substituting the value in equation ii
3x + 4y = 50
or, 3x + 4(-2x) = 50
or, 3x + (-8x) = 50
or, 3x-8x = 50
or, -5x = 50
so, x = -10
so
y = -2x
or, y = -2*(-10)
so, y = 20
Solve for x: 3x - 5 + 2x = 25 - 5x
Answer:
x=3
Step-by-step explanation:
Add 2x and 3x
5x-5=25-5x
move -5x to the other side by adding 5x on both sides:
10x-5=25
Add 5 on both sides:
10x=30
Divide 10 on both sides:
x=3
Hope this helps!
Answer:
Step-by-step explanation:
5x - 5 = 25 - 5x
10x - 5 = 25
10x = 30
x = 3
CAN SOMEONE HELP PLEASE.GIVING 25 POINTS
Luke recorded the grade-level and instrument of everyone in the middle school
School of Rock below.
Seventh Grade Students
Eighth Grade Students
Instrument # of Students
14
Instrument # of Students
Guitar
5
Bass
9
Drums
9
Keyboard
9
Guitar
Bass
Drums
Keyboard
13
15
6
Based on these results, express the probability that an eighth grader chosen at
random will play an instrument other than bass as a fraction in simplest form.
Answer:
35/48
Step-by-step explanation:
You just want to focus on the 8th graders. Add add the total number of students together to get your denominator. Then just put what your # of bass students are and that is your probability in fraction form. ( the fraction can't be simplified smaller than it already is.)
The hypotenuse of a right triangle is 6 cm and one side is 2 cm longer than the other side. Find the length of each side to one decimal place.
Answer:
The two legs of the right triangle are approximately 3.1 cm and 5.1 cm and the hypotenuse is 6 cm.
Step-by-step explanation:
Let x be one leg of the right triangle.
Since the other leg is two centimeters longer, it can be represented by the expression:
[tex]x + 2 \text{ cm}[/tex]
According to the Pythagorean Theorem, for a right triangle:
[tex]a^2 + b^2 = c^2[/tex]
Where c is the hypotenuse and a and b are the two legs.
The hypotenuse is given to be 6 cm and the two legs are x and (x + 2). Hence:
[tex](x)^2 + (x+2)^2 = 6^2[/tex]
Solve for x. Simplify:
[tex]x^2 + (x^2 + 4x + 4) = 36[/tex]
Simplify:
[tex]2x^2 + 4x + 4 = 36[/tex]
Subtract:
[tex]2x^2 + 4x - 32 =0[/tex]
Divide:
[tex]x^2 + 2x - 16 = 0[/tex]
The equation is not factorable, so we can consider using the quadratic formula:
[tex]\displaystyle x = \frac{-b\pm\sqrt{b^2 -4ac}}{2a}[/tex]
In this case, a = 1, b = 2, and c = -16. Substitute:
[tex]\displaystyle x= \frac{-(2)\pm\sqrt{(2)^2-4(1)(-16)}}{2(1)}[/tex]
And evaluate:
[tex]\displaystyle \begin{aligned}x &= \frac{-2\pm\sqrt{68}}{2} \\ \\ &= \frac{-2\pm\sqrt{4\cdot 17}}{2} \\ \\ &= \frac{-2\pm2\sqrt{17}}{2} \\ \\ &= -1 \pm \sqrt{17} \end{aligned}[/tex]
Hence, our two solutions are:
[tex]\displaystyle x = -1 + \sqrt{17} \approx 3.1\text{ or } x = -1 - \sqrt{17} \approx -5.1[/tex]
Lengths cannot be negative, so we can ignore the second solution.
Hence, the value of x or the first side length is about 3.1 centimeters.
Since the other side length is two centimeters longer, the other side is about 5.1 centimeters.
In conclusion, the two legs of the right triangle are approximately 3.1 cm and 5.1 cm and the hypotenuse is 6 cm.
2a) what is the inverse of -134
2b) what is the inverse of 5/6
Answer:
2a ) 4/-13
2b) 6/5
,
20. In the figure, O is the centre of the concentric circles of radii 17 cm
and 10 cm respectively. Chord AD of the larger circle cuts the smaller
circle at B and C such that AB = 9 cm. Find
(a) the distance of AD from the centre,
Answer:
I confirm my answer : 8(cm)
Step-by-step explanation:
In the triangle OAB, BO²=AB²+AO²-2*AB*AO*cos( BAC)
cos (BAC)=9²+17²-10²/(2*9*17)=15/17
AC/AO=cos(BAC) ==> AC=17*15/17=15
OC²=AO²-AC²=17²-15²=64
OC=8 (cm)
What is 463,954 rounded to the nearest ten thousand?
400,000
460,000
463,000
463,900
Solve for M
-3+m/ 9 = 10
Step-by-step explanation:
-3+m/9=10
m/9=10+3
m/9=13
m=13×9
m=117
Note:if you need to ask any question please let me know.
Which expression is equivalent to
-9 - 9?
–9- (-9)
0-9 + (-9)
Submit Answer
0-9 +9
|-9- (-9)
-9 - 9 is the same that -9 + (-9)
Solve the fraction problems and reduce the answer to its lowest form:-
1)7/10×2/21
2)9/16×10/21
3)11/12×26/55
4)2/6×18/12×2/3
5)5/6×9/10
Answer:
1/1515/5613/301/33/4Step-by-step explanation:
1) 7/10 × 2/21
1/15
2) 9/16 × 10/21
90/336
15/56
3) 11/12 × 26/55
13/30
4) 2/6 × 18/12 × 2/3
72/216
1/3
5) ⅚ × 9/10
45/60
3/4
find the distance between the two points in simplest radical form
The distance between the two points (7, - 1) and (9, - 9) is,
d = √68
We have to given that,
To find the distance between the two points (7, - 1) and (9, - 9)
Since, The distance between two points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
Hence, We get;
The distance between the two points (7, - 1) and (9, - 9) are,
d = √ (9 - 7)² + (- 9 + 1)²
d = √4 + 64
d = √68
Therefore, the distance between the two points (7, - 1) and (9, - 9) is,
d = √68
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f(x)=|-3x+4|+5 help?
Answer:
This will plot as an upward "V" with the vertex at x = 4/3, y = 5
Step-by-step explanation:
The absolute value will mean that y can only be positive. y will be at a minimin when the absolute value is zero. To determine that find the x that makes it zero, so
-3x + 4 = 0
-3x = -4
x = 4/3
which makes y = 5 (the minimin)
ayooo i need helppppp
Answer:The answer is in the attached file below
Step-by-step explanation:
Answer:
angle 7=100 ,angle 8=80
Step-by-step explanation:
For angle 7:
By using definition of alternate interior angles:
angle 4=angle 6
Subtitute values of angles:
x+2y=3y+20
x+2y-3y=20
x-y=20.......(1)
Now by using definition of alternate opposite angles:
angle 4= angle 2
angle 2=x+2y
Angle 1 and angle 2 are the angles of straight line ,there sum will be 180.
2x+y+x+2y=180
3x+3y=180
x+y=60......(2)
Add (1) and (2):
x-y=20
x+y=60
_______
2x=80
x=40
subtitute x=40 in (2):
40+y=60
y=60-40
y=20
For angle 7:
By using definition of alternate exterior angle:
angle 1=angle 7
angle 7=2x+y
subtitute x and y:
angle 7=2(40)+20
=100
For angle 8:
By using definition of alternate opposite angle:
angle 8=angle 6
angle 8= 3y+20
angle 8=3(20)+20
=80
2 – 3х + 5х = 16 — 8х + 8x
Answer:
2 – 3х + 5х = 16 — 8х + 8x
2 - 8x = 16
8x = 14,
x = 1.75
if AC = 72 and BC = 32, what is the length of AB
Answer:
104
Step-by-step explanation:
solution :
AC = 72
BC = 32
AB = AC + AC
= 72+32
= 104#
Am i right ?
Find the slope. Is mine right or does it need to be positive?
Answer:
The slope is -⅔ [ negative slope ]
Step-by-step explanation:
Consider two points spotted from the graph.
That is (3, 0) and (0, 2)
[tex]slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1}} [/tex]
y1 is 0
y2 is 2
x1 is 3
x2 is 0
substitute:
[tex]slope = \frac{2 - 0}{0 - 3} \\ \\ = - \frac{2}{3} [/tex]
please help me............................
Answer:
B.
Step-by-step explanation:
4/5 divided by 3 fraction.......
Answer:
4/15
Step-by-step explanation:
[tex]\frac{\frac{4}{5} }{3}=\frac{4}{5}(\frac{1}{3})=\frac{4}{15}[/tex]
I need help rounding numbers to the nearest tenth, hundredth and thousandth
Answer:
hey friend
what's your question
What is the solution to the equation 9(w – 4) – 7w = 5(3w - 2)?
34
Ow=-13
Ow=-2
6
Ow= 13
Ow= 26
Answer:
w=-2
Step-by-step explanation:
9(w-4)-7w=5(3w-2)
9w-36-7w=15w-10
9w-7w-15w=-10+36
-13w=26
w=-2
b) 20 labourers complete the construction of a building in 24 days. In how many days would 16 labourers complete the construction?
Answer:
16 labourers complete the construction
in 30 days
Step-by-step explanation:
mark me as a brainlist answer
prove bn=dn..........
Answer:
See Below.
Step-by-step explanation:
We can write a two-column proof.
Statements: Reasons:
[tex]\displaystyle 1) \text{ } N \text{ is the midpoint of } \overline{AE}[/tex] Given
[tex]\displaystyle 2) \text{ } \angle 1 \cong \angle 2[/tex] Given
[tex]\displaystyle 3) \text{ } \angle A \cong \angle E[/tex] Given
[tex]\displaystyle 4) \text{ } \overline{AN} \cong \overline{NE}[/tex] Definition of Midpoint
[tex]\displaystyle 5) \text{ } \Delta ABN \cong \Delta EDN[/tex] ASA Congruence
[tex]\displaystyle 6) \text{ } \overline{BN} \cong \overline{DN}[/tex] CPCTC