Answer:
[tex] \frac{(c - 7)}{2} = - 5 \\ c - 7 = - 5 \times 2 \\ c - 7 = - 10 \\ c = - 10 + 7 \\ c = - 3[/tex]
I hope I helped you^_^
Find the length of PR from the given figure ( step by step ).
Answer:
PR = 39 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
PR² + PQ² = QR² , that is
PR² + 80² = 89²
PR² + 6400 = 7921 ( subtract 6400 from both sides )
PR² = 1521 ( take the square root of both sides )
PR = [tex]\sqrt{1521}[/tex] = 39
Answer:
[tex]PR=39[/tex]
Step-by-step explanation:
The triangle (PQR) is a right triangle. This means the triangle has a (90) degree angle, such is indicated by the box around one of the angles in the triangle. One of the properties of the sides of a right triangle is the Pythagorean theorem. The Pythagorean theorem states the following:
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the legs of the right triangle, or the sides adjacent to the right angle. (c) is the side opposite the right angle of the triangle triangle, in other words, the hypotenuse. Substitute the respective legs into the formula for the Pythagorean theorem and solve for the unknown,
[tex]a^2+b^2=c^2[/tex]
Substitute,
[tex]a^2+b^2=c^2[/tex]
[tex]PQ^2+PR^2=QR^2[/tex]
[tex]80^2+PR^2=89^2\\[/tex]
Simplify,
[tex]80^2+PR^2=89^2\\[/tex]
[tex]6400+PR^2=7921[/tex]
Inverse operations,
[tex]6400+PR^2=7921[/tex]
[tex]PR^2=1521\\\\PR=39[/tex]
Pears cost 38p how much for 15 pears?
Answer:
if pears cost 38p
then 15=15×38
=570p
the cost of an article is Rs 10,000 and it is sold at same profit. if a customer bought it for Rs 12430 with 13% VAT calculate the profit percent on the article.
Answer:
Percentage profit = 11.3%
Step-by-step explanation:
Given the following data;
Vat = 13% = 13/100 = 0.13Cost price = 10,000Selling price = Rs 12430To calculate the profit percentage on the article;
First of all, we would determine the value-added (vat) tax levy;
Vat levy = 0.13 * 10000
Vat levy = Rs. 1300
Profit = selling price - cost price
Profit = 12430 - 10000
Profit = 2430
Profit after vat;
Profit after vat = Profit - Vat levy
Profit after vat = 2430 - 1300
Profit after vat = 1130
Next, we would calculate the profit percentage on the article;
[tex] Percentage \; profit = \frac {Profit \; after \; vat}{Cost \; price} * 100 [/tex]
Substituting the values into the formula, we have;
[tex] Percentage \; profit = \frac {1130}{10000} * 100 [/tex]
[tex] Percentage \; profit = \frac {113000}{10000} [/tex]
Percentage profit = 11.3%
Anybody help please ! Step by step
Your answer is -6.
Hope my answer is helpful to you. Stay blessed .
[tex]\\ \large\sf\longmapsto {27}^{x} = {9}^{x - 3} \\ \\ \large\sf\longmapsto ( {3}^{3} ) {}^{x} = ({3}^{2} ) {}^{x - 3} \\ \\ \large\sf\longmapsto 3 {}^{3x} = 3 {}^{2(x - 3)} \\ \\ \large\sf\longmapsto {3}^{3x} = 3 {}^{2x - 6} \\ \\ \large\sf\longmapsto 3x = 2x - 6 \\ \\ \large\sf\longmapsto 3x - 2x = - 6 \\ \\ \large\sf\longmapsto x = - 6[/tex]
Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
A. (x - 1)(x-9)
B. (x + 1)(x-9)
C. (x - 1)(x+9)
D. (x + 1)(x + 9)
Answer:
Step-by-step explanation:
The zeros are located at x = 1 and x = 9. If x = 1 is a solution, then the factor is (x - 1); if x = 9 is a solution, then the factor is (x - 9). Choice A is the one you want. FOIL these out and you will get the equation for the quadratic.
In a right triangle the two legs are measures of 4x and 3x with a hypotenuse measurement of 5x. If the area of the triangle is 24 square units, find the cosine of each acute angle.
The cosine of the acute angles are 0.80 and 0.60 respectively
The given parameters are:
[tex]Leg\ 1 = 4x[/tex]
[tex]Leg\ 2 = 3x[/tex]
[tex]Hypotenuse = 5x[/tex]
Let the acute angles be [tex]\alpha[/tex] and [tex]\beta[/tex]
The cosine of the acute angles is calculated using:
[tex]\cos(\alpha) = \frac{Leg\ 1}{Hypotenuse}[/tex]
[tex]\cos(\beta) = \frac{Leg\ 2}{Hypotenuse}[/tex]
So, the formula becomes
[tex]\cos(\alpha) = \frac{4x}{5x}[/tex]
[tex]\cos(\alpha) = \frac{4}{5}[/tex]
[tex]\cos(\alpha) = 0.80[/tex]
and
[tex]\cos(\beta) = \frac{3x}{5x}[/tex]
[tex]\cos(\beta) = \frac{3}{5}[/tex]
[tex]\cos(\beta) = 0.60[/tex]
Hence, the cosine of the acute angles are 0.80 and 0.60 respectively
Read more about cosines at:
https://brainly.com/question/19923448
HELP ME PLS ITS URGENT
Answer: -3 (option D) is the answer.
(-8)-(-5)= -8+5 = -3
james cuts 2 of his neighbor's lawn the first is 1000 m long and 100 m wide what is the area
Step-by-step explanation:
The formula for area is l x b. This stands for length and breadth. I can multiply 1000(100) to get 100,000m. The area of the lawn is 100,000 m.
HOPE IT HELPS YOU
MARK ME BRAINLIEST
Which models best illustrates the inequality and its graph?
a.) tina can type at least 60 words per minute
b.)tina can type at most 60 words per minute
c.)tina can type no more than 60 words per minute
d.) tina can type more than 60 words per minute
Answer:
a)
Step-by-step explanation:
The graph shows a solid dot on 60 and shading to the right of 60, so it shows all numbers greater than or equal to 60.
a.) tina can type at least 60 words per minute
At least 60 means greater than or equal to 60.
This is the answer.
b.)tina can type at most 60 words per minute
This is less than or equal to 60.
c.)tina can type no more than 60 words per minute
This means less than or equal to 60.
d.) tina can type more than 60 words per minute
This means greater than 60.
Identify the vertex of this absolute value function: f(x) = -2|x + 1| + 2. Type the correct answer in each box. Use numerals instead of words.
Answer:
Step-by-step explanation:
x+1=0
then f(x)=2
x=-1
vertex is (-1,2)
Answer:
-1,2
Step-by-step explanation:
Plato
Find the products using suitable identity:
1.(3y –2z) (3y + 2z)
2.105 × 98
2)10,290
105
98
10290
(3y-2z) (3y+2z)
3y(3y+2z)-2z(3y+2z)
9y2+6yz-2z(3y+2z)
9y2+6yz-6yz-4z2
9y2-4z2
Simplify (square root 3)(^5 square root 3)
Answer:
[tex]3^{\frac{7}{10} }[/tex]
Step-by-step explanation:
[tex]\sqrt{3} *\sqrt[5]{3}[/tex] = 3^1/2 x 3^1/5 = 3^(1/2 +1/5) = 3^7/10
Answer:
Step-by-step explanation:
Exponent law: [tex]a^{m}*a^{n}=a^{m+n}[/tex]
[tex](\sqrt{3} ) )*(\sqrt[5]{3})= 3^{\frac{1}{2}}*(3^{\frac{1}{5}})\\\\=3^{\frac{1}{2}+\frac{1}{5}}\\\\=3^{\frac{1*5}{2*5}+\frac{1*2}{5*2}}\\\\= 3^{\frac{5}{10}+\frac{2}{10}}\\\\=3^{\frac{5+2}{10}}\\\\=3^{\frac{7}{10}}[/tex]
x^3+(y+z)^3 factorise it broefly.
Answer:
x^3 + y^3 + z^3
Step-by-step explanation:
x^3+(y+z)^3
Remove brackets
x^3 + y^3 + z^3
hlpppppppppppppppppppppppppppppppp
Answer:
c
Step-by-step explanation:
-7.5 is less than 6.5
help please ASAP!!! Got a lot of math to do here comes an all nighter :(
Answer:
110
Step-by-step explanation:
2 ( wl+hl+hw ) = 2 (7·1+6·1+6·7 ) = 110
Here Enjoy :)
Cual es la respuesta 5%9(12-32)
Answer:
i need more detail
Step-by-step explanation:
highest common factor of 9 and 29
Answer:
1
Step-by-step explanation:
See pic for steps :)
easy algebra question below first correct answer gets brainliest
Answer:
Y = 27
Step-by-step explanation:
To find the the value of y when x = 4 simply substitute the given value of x
into the equation and solve for y
Equation given: y - 3x = 15
x = 4 * substitute 4 for x in given equation *
y - 3(4) = 15
Now solve for y
simplify multiplication
y - 12 = 15
Add 12 to both sides
y - 12 + 12 = 15 + 12
y = 27
So we can conclude that when x = 4 y = 27
Answer:
y = 27
Step-by-step explanation:
y - 3x = 15
Let x = 4
y - 3(4) = 15
y - 12 = 15
Add 12 to each side
y -12 +12 =15+12
y = 27
Given Isosceles Trapezoid TRAP, if mP=98, find mT
Answer:
∠ T = 82°
Step-by-step explanation:
In a Isosceles trapezoid, any lower base angle is supplementary to any upper base angle , so
∠ T + ∠ P = 180°
∠ T + 98° = 180° ( subtract 98° from both sides )
∠ T = 82°
Help memememememe please
Answer:
good evening good evening good evening good evening
Step-by-step explanation:
w
Answer:
∠b = 54°
they add up to 180
7x + 14 + 5x - 26 = 180
12x = 192
x=16
thus ∠b = 54°
Step-by-step explanation:
what number is smallest 2,-3,-10,-5,-2-1
Answer:
2,-3,-10,-5,-2-1The smallest number is -10
Answer:
it's -10
Step-by-step explanation:
Well, if you look at the number line, numbers start from the left going to the right and the ones before the 0 ( the negative ones) are the smaller ones. And here if you arrange them from the smallest, -10 is the smallest and 2 is the biggest.
hope this helps
Problema de Matematicas En una fábrica de papel se han elaborado, 238 942 rollos de papel higiénico, 763 924 rollos de papel toalla y 73 947 rollos de servilletas, del total de rollos se vendieron 875 394 rollos la cantidad de rollos que faltan por vender son.
Answer:
Se faltan por vender 201,419 rollos.
Step-by-step explanation:
Total de rollos:
238 942 rollos de papel higiénico
763 924 rollos de papel toalla
73 947 rollos de servilletas
Entonces:
[tex]T = 238942+763924+73947 = 1076813[/tex]
Se vendieron 875 394 rollos la cantidad de rollos que faltan por vender son?
Total subtraído por la cuantidad vendida. Entonces:
[tex]V = 1076813 - 875394 = 201419[/tex]
Se faltan por vender 201,419 rollos.
Please help explanation if possible
Answer:
y=-11
Step-by-step explanation:
A line can be represented by a linear equation of
[tex]y = mx + b[/tex]
where m is the slope and y is the y intercept.
The slope is 0 so this function will be
[tex]y = b[/tex]
Which is also called a constant function. The y intercept is -11. So the answer is
[tex]y = - 11[/tex]
Will Mark Brainlest helpppp plssss
Answer:
C = [tex]\left[\begin{array}{ccc}-2&-4\\-1&1\\\end{array}\right][/tex]
Step-by-step explanation:
A = B+ C then
C = A - B
C = [tex]\left[\begin{array}{ccc}2&-5\\-1&4\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}4&-1\\0&3\\\end{array}\right][/tex] (subtract corresponding elements )
= [tex]\left[\begin{array}{ccc}2-4&-5-(-1)\\-1-0&4-3\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}-2&-4\\-1&1\\\end{array}\right][/tex]
PLEASE HELP!!! I dont understand
Answer:
x^4+x^2+5
Step-by-step explanation:
f(x) = x^2 -3x+7
g(x) = x^2+2
f(g(x) = Place g(x) in for x in the function f(x)
= (x^2+2)^2 -3(x^2+2) +7
FOIL and Distribute
= x^4 +2x^2+2x^2 +4 - 3x^2 -6 +7
Combine like terms
= x^4+x^2+5
Solve for a. a+|-23+6|=-32
Plz help
Answer:
a = -49
Step-by-step explanation:
a+|-23+6|=-32
Simplify the absolute value term
a+|-17|=-32
a+17=-32
Subtract 17 from each side
a +17-17 = -32-17
a = -49
Answer:
a = −49
Step-by-step explanation:
a + ∣ − 17∣ = −32
a + 17 = −32
a = −32 − 17
Simplify.
-32 - 17 to -49.
the difference of 8 and 3 is multiplied by one quarter of the sum of 7 and 5
Answer:
15
Step-by-step explanation:
the difference of 8 and 3 : 8-3 = 5
sum of 7 and 5 : 7+5 = 12
a quarter of that sum : 12/4 = 3
the difference from before is now multiplied by that quarter : 5 × 3 = 15
I know, you are a beginner, but you don't know basic arithmetic calculation of +, -, × , / ? really ?
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The solution of the difference of 8 and 3 is multiplied by one-quarter of the sum of 7 and 5 is 15.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The statement can be solved as shown below,
1. The difference between 8 and 3,
8 - 3 = 5
2. The difference between 8 and 3 is multiplied by one-quarter of the sum of 7 and 5,
[tex](8-3) \times \dfrac{(7+5)}{4}\\\\= 5 \times \dfrac{12}{4}\\\\= 15[/tex]
Hence, the solution of the difference of 8 and 3 is multiplied by one-quarter of the sum of 7 and 5 is 15.
Learn more about Multiplication:
https://brainly.com/question/14059007
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A piece of fabric 20m long sew 4/5 of that cloth, the rest of the fabric is sewn for each bag 2/3m, how many bags can be sewn in all?
Answer: 16 bags
Step-by-step explanation:
(20) (4/5) = 16
(16) (3) / 2 = 24
pls help its a optional math question
Find the length of a pendulum which describes an arc of 33cm when it turns through and angle 27º.
Answer:
70cm
Step-by-step explanation:
33=27/360*2*22/7*r
33*2520/1188=r
83160/1188=r
r=70cm
hope it's right
What is the value of a in the equation 3 a plus b equals 54, when b equals 9?
15
18
21
27
Answer:
a=15
Step-by-step explanation:
3a+b = 54
Let b=9
3a+9 = 54
Subtract 9 from each side
3a+9-9= 54-9
3a = 45
Divide each side by 3
3a/3 = 45/3
a = 15
Answer:
[tex]3a+b=54[/tex]
[tex]3a+9=54\:[b=9][/tex]
[tex]3a=54-9[/tex]
Subtract 9 from both sides
[tex]3a=45[/tex]
Divide both sides by 3
[tex]\frac{3a}{3}=\frac{45}{3}[/tex]
[tex]a=15[/tex]
OAmalOHopeO
