one of the legs of a right triangle measured 12cm and the other leg measures 7cm find the measure of the hypotenuse
Answer: 14
Step-by-step explanation: The Pythagorean Theorem states that a^2 + b^2 = c^2, where a=leg one, b=leg two, and c=hypotenuse. Using this, our formula will be 12^2 + 7^2. Twelve squared is 144, and seven squared is 49. Added together, the sum is 193. To change this to an unsquared form we must square root it. [tex]\sqrt{193}[/tex] equals about 13.89. Fourteen if you round up to the nearest whole number. But just a warning, I don't know what place you are supposed to round to so you may have to use the underlined value instead.
Answer:
Using pythagoras theorem : hypotenuse² = opp² + adj ²
: hyp² = 12² + 7²
hyp² = 193
therefore hypotenuse = root of 193
Hope it helps
simplify the expression
4(-8x+5)-(-33x-26)
Answer:
x+46
Step-by-step explanation:
x+46 because you do math and dont worry ive done this problem pls can you help me with my problem
What are polynomials?
Polynomials are mathematical expressions made up of many terms.
How to simplify a polynomial?
To simplify the maximum of a polynomial, you must group all like terms and rearrange them from highest to lowest power.
we solve ⇒ 4(-8x+5)-(-33x-26)
To distribute
-32x+20-(-33x-26)add up the numbers
-33+20+33x+26Combine like terms.
-32x+46+33xMultiply by 1.
1x + 46Solutionx + 46 ======> AnswerSam is d years old. Rupert's age is of Sam's age. lan is 15 years older than Rupert. If lan is 26 years old, a) write an equation in terms of d. b) what is Sam's age?
Answer: d = 11 bc 26 - 15 would equal 11
The circle below has center P, and its radius is 3 m. Given that m 2 QPR=170°, find the length of the minor arc OR.
Give an exact answer in terms of 7, and be sure to include the correct unit in your answer.
Length of minor arc OR :
Any smooth curve connecting two points is called an arc. The length of the arc m∠QPR is 2.8334π m.
What is the Length of an Arc?Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,
[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}[/tex]
where
θ is the angle, that which arc creates at the centre of the circle in degree.
Given the radius of the circle is 3m, while the angle made by the arc at the centre of the circle is 170°. Therefore,
The length of an arc = 2πr×(θ/360°) = 2π × 3 ×(170/360°) = 2.8334π m
Hence, the length of the arc m∠QPR is 2.8334π m.
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I need help, please and thank you
Answer:
1 and 1/12
hope this helped
If you answer this I SWEAR OMM I WILL LOVE YOU FOR FREAKING EVER
Answer:
5/24 square mm
Step-by-step explanation:
A = lw
A = 5/8 x 1/3
A = 5/24
To get from home to her friend Rhianna's house, Grace would have to walk 1 mile due north.
To get from home to her friend Elise's house, Grace would have to walk 3 miles due east.
What is the straight-line distance between Rhianna's house and Elise's house? If necessary,
round to the nearest tenth.
Answer: All you would do is 3 miles north 4 miles east
Step-by-step explanation:
That is what gogle said lol
best estimate for 6 3/4 divided by 1 2/3
Answer:
4.05
Step-by-step explanation:
Let (-4,-5) be the point on the terminal side of theta find cos (theta), sec (theta) & cot (theta)
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{-4}\\ b=\stackrel{opposite}{-5}\\ \end{cases} \\\\\\ c=\sqrt{(-4)^2 + (-5)^2}\implies c=\sqrt{41} \\\\[-0.35em] ~\dotfill[/tex]
[tex]cos(\theta )\implies \cfrac{\stackrel{adjacent}{-4}}{\underset{hypotenuse}{\sqrt{41}}}\implies \cfrac{-4}{\sqrt{41}}\cdot \cfrac{\sqrt{41}}{\sqrt{41}}\implies -\cfrac{4\sqrt{41}}{41} \\\\\\ sec(\theta )\cfrac{\stackrel{hypotenuse}{\sqrt{41}}}{\underset{adjacent}{-4}}\implies -\cfrac{\sqrt{41}}{4}~\hfill cot(\theta )\implies \cfrac{\stackrel{adjacent}{-4}}{\underset{opposite}{-5}}\implies \cfrac{4}{5}[/tex]
please help < <<<<<<<<33333333 TYY
-20 -8 + (-12)
Answer:
-30
Step-by-step explanation:
-20-8=-28
-28-12
=-30
Solve for x.
x =
30
27
33
Answer:
the answer is 27
Step-by-step explanation:
3x+9+90=180
3x+99=180
3x=180-99
x=81/3
x=27
Answer:
Step-by-step explanation:
3x + 9 + 90 = 180
3x + 99 = 180
3x = 81
x = 81/3
x = 27
3(27) + 9 = 81 + 9 = 90
Explain how to solve this problem:
A credit card company charges 12.9% annual interest. If they
compound interest monthly, how much will you owe for every dollar
you do not pay off for a year?
"every dollar" means P = 1
compounded monthly interest means 12
1(1+(.129/12)^(12(1)) =
in calculator do pemdas
1. .129/12 = 0.01075
2. 0.01075 + 1 = 1.01075
3. (1.01075)^12 = 1.136907156 =
answer = 1.14
Mayfield schools
lcps
I need help I’m very confused.
Answer:
i think its D but i'm not very sure. try it
Step-by-step explanation:
What’s the Value of y and x
Answer:
x=86 y=111
Step-by-step explanation:
i think ita right on edmentum it makes sense
Find the missing term
(m-n)^2=m^2-_____+n^2
Answer:
2mn
Step-by-step explanation:
The expanded form of the square can be found using the distributive property.
__
(m -n)² = (m -n)(m -n) = m(m -n) -n(m -n) . . . use the distributive property
= m² -mn -nm +n² . . . . use it again
= m² -2mn +n² . . . . . . combine like terms
The missing term is 2mn.
Is X/3=5+3y/4 a linear equation
Answer:
Yes
Step-by-step explanation:
Linear EquationsA linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
What is a Linear Equation?An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.
Triangle ABC has vertices A(-4, 3), B(2, 3) , C(-5, 1). A dilation with a scale factor of 5 and center at the orgin is appiled to this triangle.
What are the coordinates of C' in the dilated image? Enter your answer by filling in the boxes
Answer:
C' (- 25, 5 )
Step-by-step explanation:
since the dilatation is centred at the origin, then multiply each of the coordinates by the scale factor 5
C (- 5, 1 ) → C' (5 × - 5, 5 × 1 ) → C' (- 25, 5 )
Can someone help me with this please thank you.
Answer:
1) 104
2) 132
3) 110
4) 112
5) 105
Step-by-step explanation:
These questions involve the sum of interior and exterior angles.
for the first 4 questions,
Use the formula: (n-2)*180-(sum of remaining angles)
For example q1, it has 4 angles
So substitute 4 into n
(4-2)*180=360
64+99+93+x=360
x=104°
(Do the same for q2-4)
For q5,
Sum of exterior angles of ANY polygon=360°
Therefore,
88+75+92+x=360
x=105°
Pls double check the answers yourself with a calculator, hope you find it helpful! :)
Bag a contains $3$ white and $2$ red balls. bag b contains $6$ white and $3$ red balls. one of the two bags will be chosen at random, and then two balls will be drawn from that bag at random without replacement. what is the probability that the two balls drawn will be the same color? express your answer as a common fraction
Answer:
9/20
Step-by-step explanation:
i tried and got it wrong. it is 9/20
x -10° 3x 5x X 2х - 10=360
Answer:
30°
Step-by-step explanation:
x+3x+(x-10)°+5x+(2x-10)°=360°
=>4x+x-10°+5x+2x+10°=360°
=>12x=360°
=>x=360°/12
=>x=30°
I need help with? this question. what is 7(-7)+149-56/2=?
Answer:
the answer is 22 hope this helps
Step-by-step explanation:
7(-7)= -49
-49+149=100
100-56=44
44/2=22
if you work 8 hours every two days, how many hours will he work in 7 days
Answer:
28 hours for 7 days
Step-by-step explanation:
8/2 =
4
4 hours for 1 day
1 x 7 =
7
7 x 4
28
28 for 7 days
Answer:
I would say the answer is 28
Step-by-step explanation:
In two days, you would work 8 hours. To make sense, in one day you would work 4 hours.
Mulitply 4*7
or
2 days: 8 hrs
4 days: 16 hrs
6 days: 24 hrs
7 days: 28hrs
add the term that makes the given expression into a perfect square. write the result as the square of a bracketed expression c square - 4c
Perfect square formula/rules:
[tex]a^2+2ab+b^2=(a+b)^2[/tex][tex]a^2-2ab+b^2=(a-b)^2[/tex]Trinomials are often organized like [tex]ax^2+bx+c[/tex].
The b value in this case is c, and it will always equal the square of half of the b value.
Perfect square trinomial: [tex]ax^2+bx+(\dfrac{b}{2})^2[/tex]or [tex]ax^2-bx+(\dfrac{b}{2})^2[/tex]Solving the QuestionWe're given:
[tex]c^2-4c[/tex]In a trinomial, we're given the [tex]ax^2[/tex] and [tex]bx[/tex] values. a in this case is 1 and b in this case is 4. To find the third value by dividing 4 by 2 and squaring the quotient:
4 ÷ 2 = 22² = 4Therefore, the term that we can add is + 4.
[tex]c^2-4c+4[/tex]
To write this as the square of a bracketed expression, we can follow the rule [tex]a^2-2ab+b^2=(a-b)^2[/tex]:
[tex](c-2)^2[/tex]
Answer[tex]c^2-4c+4[/tex]
[tex](c-2)^2[/tex]
The equation of this line is
y = 2x + 3. which of the
following shows a way that
we could change the
equation to make the line
flatter?
Answer:
y= x + 3
Step-by-step explanation:
I have the same question and that was the correct answer
y= x+ 3 is flatter.
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation.
As, the slope of y = x + 3 is 1.
So, the gradient is 1.
So, y = 2x + 3 is flatter
The slope of 2x-1 is 2
and, the slope of y= -4x+3 is -4
and the gradient is -4.
So, y= -4x +3 is steeper.
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HELPP MEEEEEEEEEEEEEE thanks
no fake answers please will mark the brain list if correct.
Answer: Equal to.
Step By Step Explanation:
Answer:
they are equal
Step-by-step explanation:
5/6 * 250
(5 * 250)/6
1250/6
208.33
(1/3 * 250) + (1/2 * 250)
(250/3) + (250/2)
500/6 + 750/6
1250/6
208.33
Find the surface area of the pyramid to the nearest whole number.
140 in2
40 in2,
180 in2
80 in2.
taking a peek at the pyramid, is really just 4 triangles stemming from a common top and touching a squarish base at the edges.
so hmmm to get the surface area of the pyramid, we can simply get the area of all those four triangles and the square and sum them up.
[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{\textit{four triangles}}{4\left[\cfrac{1}{2}(\stackrel{b}{10})(\stackrel{h}{4}) \right]}~~ + ~~\stackrel{square}{(10)(10)}}\implies 80~~ + ~~100\implies 180~in^2[/tex]
find the perimeter of the figure below, composed of a rectangle and a semicircle. round to the nearest tenths place 4 9
Answer:
36.28 units
Step-by-step explanation:
perimeter of rectangle and perimeter of semi circle
2(l +h) + 1/2 (pid) + d
2(4+9)+ 1/2 (3.14 ×4) +4
2(13) + 10.28
=36.28 units
9. A triangle has sides whose lengths are 5, 12, and 13. A similar triangle could have sides with lengths
of ? Give side lengths of two different similar triangle.
Answer:
One similar triangle: 15, 36 and 39
Another similar triangle: 10, 24, 26
Step-by-step explanation:
When a triangle is similar, it has corresponding sides that are each longer are shorter than the original triangle by a scale factor.
Scale factorA scale factor is a number that you multiply the original triangle's sides by. After multiplying each original side, you get the side lengths of a new and similar triangle.
The original sides from the question are 5, 12 and 13.
First similar triangleLet's pick 3 to be a scale factor.
Multiply every original side by the scale factor to get the side lengths of a similar triangle.
5 × 3 = 15
12 × 3 = 36
13 × 3 = 39
∴ One similar triangle can have the sides 15, 36 and 39.
Second similar triangleLet's pick another scale factor: 2
Now, we do the same. Multiply the original sides by the scale factor.
5 × 2 = 10
12 × 2 = 24
13 × 2 = 26
∴ Another similar triangle can have the sides 10, 24 and 26.
Choosing a scale factorWe can pick almost any number to be a scale factor. If we pick a scale factor that is:
greater than 1, then the similar triangle will be larger.a fraction, then the similar triangle will be smaller.We can make an infinite amount of other similar triangles just by changing the scale factor.
Joseph charges $20 an hour with a $5 flat fee for soccer lessons. Kellen charges $15
an hour with a flat fee of $10 for soccer lessons.
Which equation represents the situation when the cost is the same to be coached by
Joseph or Kellen, where his hours?
20h + 10 = 15h + 5
--
5h + 20 = 10h + 15
20h + 5 = 15h + 10
O5h + 15 = 10h + 20
Answer:
20h + 10 = 15h + 5
Step-by-step explanation:
Looking at the statements we see that Joseph charges 20h +5 and kellen 15h +10
1. whats -3 x - 5 = 6
2. whats -4 ( y - 2 ) =12
show work
Answer:
x = -11/3 or 3.666y = -1Step-by-step explanation:
Given:
1) -3x -5 = 6
2)- 4 ( y - 2 ) =12
To Find:
Value of x for no. 1Value of y for no. 2Solved:
1)-3x -5 = 6
Transpose -5 from LHS to RHS
=> -3x = 6+5=> -3x = 11Transpose -3 from LHS to RHS
=> x = (11/-3)=> x = -11/3=> x = -3.6662) -4(y-2) = 12
Apply distributive property
=>(−4)(y)+(-4)(-2)=12=>-4y+8 = 12Transpose 8 to RHS
=> -4y = 12-8=> -4y =4Transpose -4 to RHS
=> y = 4/-4=> y = -1