Answer:
x = 50
Step-by-step explanation:
Since this is a quadrilateral, the sum is 360 degrees
2x+x+10 + 3x+x = 360
Combine like terms
7x+10 =360
Subtract 10 from each side
7x+10-10 = 360-10
7x = 350
Divide by 7
7x/7 = 350/7
x = 50
Answer:
[tex]x = 50[/tex]
Step-by-step explanation:
Sum of the interior angles in a quadrilateral
= 360°
Let's solve now
[tex]x + 10 + 3x + x + 2x = 360 \\ 7x + 10 = 360 \\ 7x = 360 - 10 \\ 7x = 350 \\ \frac{7x}{7} = \frac{350}{7} \\ x = 50[/tex]
hope this helps you.
Which situations would be represented with a positive number? Check all that apply.
The temperature outside is 34°F.
The Dead Sea is 1,349 feet below sea level.
Nicole lost 2 pounds last month.
Sebastian owes his friend $4
A football team gains 11 yards on a play.
Long Island Sound is at sea level.
Answer:
A and e
Step-by-step explanation:
PLS HELP ME WITH THIS!!!!!!!!!!! BRAINLIEST ANSWER IF U GET IT RIGHT
Answer:
I think it is 5
Step-by-step explanation:
1. The ratios of the side lengths of triangle ABC are 7:9:12 and the perimeter is 168 m. Find the lengths of each side.
Answer:
d
Step-by-step explanation:
The altitude at which we boil an egg affects how long it takes for the egg to achieve perfect hardness. It takes 198198198 seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude of -418−418minus, 418 meters. The highest place possible is the summit of Mount Everest which has an altitude of 884888488848 meters. It takes 209209209 seconds to boil a perfect egg there. T(a)T(a)T, left parenthesis, a, right parenthesis models the time (in seconds) it takes to boil a perfect egg at an altitude of aaa meters. Which number type is more appropriate for the domain of TTT?
Answer:
The domain is -418 < a < 8848 where a is an integer.
Step-by-step explanation:
We see from the data given that the domain of T(a) takes both positive and negative integer values ( 8848 meters and -418 meters); T(a) never gets decimal values (and in real life thy won't be of much use because we are not looking for that much accuracy).
So the appropriate number type for the domain of T(a) would be integers. And if you are interested, the domain is -418 < a < 8848.
Please help!! Maths question I don't understand!
Answer:
see explanation
Step-by-step explanation:
The statements tells us that w is inversely proportional to v and the equation relating them is
v = [tex]\frac{k}{w}[/tex] ← k is the constant of proportion
To find k use the condition v = 9, w = 5, that is
9 = [tex]\frac{k}{5}[/tex] ( multiply both sides by 5 )
45 = k
v = [tex]\frac{45}{w}[/tex] ← equation of proportion
When w = 4 , then
v = [tex]\frac{45}{4}[/tex] = 11.25
Solve the triangle. Round your answers to the nearest tenth.
Answer:
<B = 47°
<C = 28°
b = AC = 28.0
Step-by-step explanation:
Given:
∆ABC
AB = c = 18
BC = a = 37
<A = 105°
Required:
Length of AC = b
measure of angle B and angle C
SOLUTION:
==>Use the sine rule, sin A/a = sinC/c to find the angle of C:
SinA = sin(105) = 0.9659
a = 37
sinC = ?
c = 18
0.9659/37 = sinC/18
Cross multiply
0.9659*18 = 37*sinC
17.3862 = 37*sinC
Divide both sides by 37
17.3862/37 = sinC
0.4699 = sinC
sinC = 0.4699
C = Sin-¹(0.4699)
C = 28.0° (nearest tenth)
==>Find angle B using sum of angles in a triangle:
Angle B = 180 - (105+28)
Angle B = 180 - 133
Angle B = 47°
==>Find length of b using sine rule, b/sinB = c/sinC:
SinC = sin(28) = 0.4695
SinB = sin(47) = 0.7314
c = 18
b = ?
b/0.7314 = 18/0.4695
Cross multiply
b*0.4695 = 18*0.7314
b*0.4695 = 13.1652
Divide both sides by 0.4695
b = 13.1652/0.4695
b = 28.0 (nearest tenth)
Elena’s aunt bought her a $150 savings bond when she was born. When Elena is 20 years old, the bond will have earned 105% in interest. How much will the bond be worth when Elena is 20 years old?
The correct answer is $307.5
Explanation:
The total of the bond after 20 years is $150 plus the interests during this time (105% of $150). This last value can be calculated by multiplying the percentage (105) by the total ($150) and dividing it into 100% (total percent represented by $150. The process is shown below:
[tex]150 = 100[/tex]%
[tex]x = 105[/tex]%
[tex]x = \frac{150 x 105}{100}[/tex]
[tex]x = 157.5[/tex]
This means the total money in interest is $157.5 and this added to $150 is equivalent to $307.5
show the steps of how got the answer
Answer:
Step-by-step explanation:
f- -3u=21 divide each side by (-3)
-3u/-3=-21/3
u=-7
g) 23+a=12 use subtraction method , subtract 23 from both sides
23-23+a=12-23
a=-11
h) -9+b=15 use additional method, add 9 to both sides
-9+9+b=15+9
b=26
8x – 2 – 5x + 7 = one solution
━━━━━━━☆☆━━━━━━━
▹ Answer
3x + 5
▹ Step-by-Step Explanation
8x - 2 - 5x + 7
= 3x - 2 + 7
= 3x + 5
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer: For the equation to have one solution, use any number that does not contain 3x.
Step-by-step explanation:
8x - 2 - 5x + 7
Combine like terms
3x + 5
What is the area of a circle whose diameter is 64
Answer:
A ≈ 3215.36
Step-by-step explanation:
A = πr²
Radius - D/2
Radius - 64/2 → 32
A = 3.14(32)²
A = 3215.36
Hope this helps! :)
Answer:
3215.36 um²
Step-by-step explanation:
d = 2r => r = d/2 = 64/2 = 32 um
A = π·r²
= 3.14·32²
= 3.14·1024
≈ 3215.36 um²
Which relation is a function of x?
Answer: The bottom option, the graph.
Step-by-step explanation:
A relation is something that gets input from a set, called domain (usually the x) and "transforms" them into an output, from a set called the range.
Now, a relation is only a function if, for all the elements x in the domain, each one of them has only one element y in the range associated to it.
For example, in the first set we can see that the value x = 1 appears two times, it is related to different values in the range, then this is not a function.
The second relation is not a function.
the third relation is:
x = 3*y^2 - 7
This is a function, but in this relation x is the output and y the input, so this is a function of y.
In the fourth relation we can see a graph, this is a function (each value in the domain is related to only one in the range), and in the horizontal axis we can see a x, so this is a function of x.
Answer:
D
Step-by-step explanation:
What is the solution of 3+ x-2/x-3<_4
Answer:
x≤2−√6 or 0<x≤2+√6
Un agricultor tiene 140 metros de malla para instalar una cerca en su huerta de hortalizas y esa tiene forma de rectangulo a) encuentra una función que modele el área de la huerta que pueda cercar b)¿Para que valor de la longitud del largo, el area es Maxima?
Tenemos que sean x e y los lados de la huerta entonces el perímetro sería:
P = 2*x + 2*y
Sabemos que el perimetro es 140, reemplazando:
140 = 2*x + 2*y
x + y = 70
despejamos y, nos queda:
y = 70 - x
Ahora tenemos que el área sería:
A = x*y
reemplazamos y:
A = x*(70 - x)
A = 70*x - x^2
Esta sería la ecuación que modela el área de la huerta.
Derivamos e igualamos a 0:
0 = 70 - 2*x
x = 70/2
x = 35
ahora calculamos y:
y = 70 - 35
y = 35
El área máxima sería:
A = 35*35
A = 1225 m^2
someone help asap math 10
Answer:
Required angle measures 39°
Step-by-step explanation:
Let's say, x measures the angle between the hypotenuse and the common base of two triangles.
Sin(x) = 5/8
x = 39°
This angle is complementary to the angle other than theta (let's say y) in the required triangle.
90 - x = y and 90 - theta = y
>>> Theta = x
Best Regards!
Which of the following Quadrilateral have diagonals that disect each other? Check all that apply
A. Parallelogram
B. Rhombus
C. Square
D. Rectangle
Answer:
It's (B) Rhombus and (D) Rectangle
Step-by-step explanation:
Can someone help me I really need to finish this quick? Can someone tell me how to get 14.50?
Answer:
Please see details below
Step-by-step explanation:
Notice that since you have drawn mid-segments for all sides of the triangles, the three smaller triangles generated at the vertices, are all similar triangles to the large one (XYW).
Let's look at what happens with the smaller triangles:
Triangle QXR is similar to XYW, since the side QR has to be parallel to the big side WY. By construction, the side XQ is half of the side XW, therefore all sides of the smaller triangle *QXR formed must maintain the same proportion. Then side QR is half of side WY which makes side WY = 2 (2.93 cm) = 5.86 cm.
The same reasoning is valid when we compare triangle RYS with the larger triangle XYW: side RS of the small triangle is half of side XW of the large triangle, That is: XW = 2 (2.04 cm) = 4.08 cm
Similarly, small triangle SWQ is similar to XYW, and the side QS has to be half of side XY, therefore side XY = 2 (2.28 cm) = 4.56 cm
Then, the perimeter of triangle XYW is:
XY + YW + XW= 4.56 cm + 5.86 cm + 4.08 cm = 14.5 cm
a person earns $25,100 one year and gets a 5% raise in salary. what is the new salary?
Answer:
A 5% raise can be written as 1.05 so the new salary is 25100 * 1.05 = $26355.
A basketball team practices their shooting. The function f(x) represents the number of baskets made during practice, where x is the number of players at the practice. Does a possible solution of (12, 36) make sense for this function? Explain your answer.
A.Yes. The input and output are both possible.
B.No. The input is not possible.
C.No. The output is not possible.
D.No. Neither the input nor output is possible.
Answer:
B.No. The input is not possible.
Step-by-step explanation:
According to the given scenario, as we know that f(x) indicates that the baskets number and x the number of players at the practice.
Therefore, if we are having the point (12, 36) we can conclude that during practice there were 36 baskets and 12 players.
Hence, it does not make any sense which results that input is not possible
the sum of the first 6 terms of a geometric series is 15624 and the common ratio is 5. what is the first term of the series?
Answer:
first term a=4
Step-by-step explanation:
Sum of the first 6 terms S6 = 15624
common ratio r= 5
n= 6
first term a=?
Formula: S6= a(r^n-1)/r-1
15624 = a( 5^6-1)/5-1
15624 = a(15625-1)/4
15624= a( 15624)÷4
15624= 15624a÷4
Cross multiply
15624×4 = 15624a
62496 = 15624a
divide both sides by 15624
62496÷15624 = 15624a÷15624
4 = a
a= 4
Please help! Rhombus LMNO is shown with its diagonals. The length of LN is 30 centimeters. What is the length of LP? A.) 14 B.) 15 C.) 20 D.) 30
Answer:
B
Step-by-step explanation:
Since the diagonals of a rhombus bisect each other, that means P is the midpoint of LN. Therefore, LP = 1/2 * LN = 1/2 * 30 = 15.
Working out simultaneous equations.
Answer:
x = 6/5
y = 8/5
Step-by-step explanation:
3x - y = 2
2x + y = 4
Add the equations, cancelling y.
5x = 6
x = 6/5
Put x as 6/5 in the second equation and solve for y.
2(6/5) + y = 4
12/5 + y = 4
y = 4 - 12/5
y = 8/5
The y-intercept of the graph of a line is located at (0, –2). The line also passes through the point (5, 1).
Answer:
y - 1 = (3/5)x
Step-by-step explanation:
First find the slope of this line. As we move from (0, -2) to (5, 1), x (the 'run') increases by 5 and y (the 'rise') increases by 3. Thus, the slope of this line is m = rise / run = 3/5.
Using the point-slope formula for the equation of a straight line:
y - 1 = (3/5)(x - 5), or
y - 1 = (3/5)x This can also be written as 5y - 5 = 3x, or
y = (3/5)x + 1
Pls help? This is confusing
Answer:
8.1 metresStep-by-step explanation:
[tex]sin \: 54 = \frac{opposite \: side}{hypotenuse} [/tex]
[tex]sin \: 54 = \frac{h}{10} [/tex]
[tex]0.8090 = \frac{h}{10} [/tex]
[tex]h = 10 \times 0.8090[/tex]
[tex]h = 8.09[/tex]
[tex]h = 8.1[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
h = 8.1 m
Step-by-step explanation:
Sin 54 = [tex]\frac{opposite }{hypotenuse}[/tex]
Where opposite = h, hypotenuse = 10 m
0.809 * 10 = h
=> h = 8.1 m
Hour many hours are in 7 days?
Answer: 168 hours
Step-by-step explanation:
There are 24 hours in a day. Thus, simply multiply 7*24 to get 168.
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------------------
Answer: There are 168 hours in 7 days.
Since there 24 hours in a day, Multiply 24 times 7 and you get 168.
Example : 24 x 7 = 168.
I need help with this question!
Answer:
A = 0 -7 b= 0 -7
3 2d 3 2d
Let's calculate A and B:
A= 0*2d- 3*(-7) = -3*(-7) = 21B= 0.2d- 3*(-7) = -3*(-7) = 21Calculte (AB)^(-1):
(AB)^(-1) = (21*21)^(-1) = (21²)^(-1) = 21^(-2)Calculte B^(-1) and A^(-1):
B^(-1) * A^(-1) = 21^(-1) * 21^(-1)= 21^(-1-1) = 21^(-2)so:
(AB)^(-1) = B^(-1) * A^(-1)
What is the area of the triangle shown below?
Answer:
given,
base= 10
height= 8
now, area of triangle =
[tex] \frac{1}{2} \times b \times h[/tex]
or, area =
[tex] \frac{1}{2} \times 10 \times 8[/tex]
therefore the area of a triangle is 40 sq units.
hope its helpful..
Answer:
A, 40 sq.units
Step-by-step explanation:
Area of Triangle: 1/2·b·h
Substitute: h= 8, b= 10
A = 1/2 (10)(8)
Simplify: A = 1/2(80) = 40
Area= 40 sq. units
Which of the following polynomials has a remainder of -7 when divided by x – 2?
A. 4x3 + 2x2 + 5
B. x3 - 2x2 - 4x + 1
c. 3x² + 6x - 2
D.-2x3 + 4x2 + 3x - 2
Answer:
[tex]B.\ x^3 - 2x^2 - 4x + 1[/tex]
Step-by-step explanation:
Given
Polynomials A to D
Divisor: x - 2
Required
Which of polynomial A - D has a remainder of -7
We start by equating the divisor to 0
[tex]x - 2 = 0[/tex]
Make x the subject of formula
[tex]x = 2[/tex]
Next is to substitute 2 for x in the polynomials to get the remainder;
[tex]A.\ 4x^3 + 2x^2 + 5[/tex]
[tex]4(2)^3 + 2(2)^2 + 5[/tex]
Open Brackets
[tex]4 * 8 + 2 * 4 + 5[/tex]
[tex]32 + 8 + 5[/tex]
[tex]Remainder = 45[/tex]
[tex]B.\ x^3 - 2x^2 - 4x + 1[/tex]
[tex](2)^3 - 2(2)^2 - 4(2) + 1[/tex]
Open Brackets
[tex]8 - 2 * 4 - 4 * 2 + 1[/tex]
[tex]8 - 8 - 8 + 1[/tex]
[tex]Remainder = -7[/tex]
[tex]C.\ 3x^2 + 6x - 2[/tex]
[tex]3(2)^2 + 6(2) - 2[/tex]
Open Brackets
[tex]3 * 4 + 6 * 2 - 2[/tex]
[tex]12 + 12 - 2[/tex]
[tex]Remainder = -2[/tex]
[tex]D.\ -2x^3 + 4x^2 + 3x - 2[/tex]
[tex]-2(2)^3 + 4(2)^2 + 3(2) - 2[/tex]
Open Brackets
[tex]-2 * 8 + 4 * 4 + 3 * 2 - 2[/tex]
[tex]-16 + 16 + 6 - 2[/tex]
[tex]Remainder = 4[/tex]
From the calculations above, the polynomial with a remainder of -7 when divided by [tex]x - 2[/tex] is [tex]B.\ x^3 - 2x^2 - 4x + 1[/tex]
The value of the polynomial [tex]x^3-2x^2-4x+1[/tex] is -7 at x = 2. So, option B is correct.
Important information:
Remainder is -7.Divisor is [tex]x-2[/tex].Remainder Theorem:According to the Remainder Theorem, if a polynomial is p(x) is divided by (x-c), then the remainder is p(c).
If polynomials have a remainder of -7 when divided by x – 2. So, the value of the polynomial must be -7 at x = 2.
Substitute x = 2 in the first polynomial.
[tex]4(2)^3+2(2)^2+5=45\neq -7[/tex]
Substitute x = 2 in the second polynomial.
[tex](2)^3-2(2)^2-4(2)+1=-7[/tex]
Substitute x = 2 in the third polynomial.
[tex]3(2)^2+6(2)-2=22\neq -7[/tex]
Substitute x = 2 in the fourth polynomial.
[tex]-2(2)^3+4(2)^2+3(2)-2=4\neq -7[/tex]
Only the value of the second polynomial is -7 at x = 2. Therefore, the correct option is B.
Find out more about 'Remainder Theorem' here:
https://brainly.com/question/4515216
Cuanto mide el Tigre y cuanto pesa
Answer:
Pesa 320 kilogramos y su cola mide un metro.
ayuda porfavor :b lo nesesito para hoy por fa
Answer:
a) x = 10
Step-by-step explanation:
En este romboide, el angulo A es igual a el angulo C, y el angulo ABC es igual a el angulo CDA.
Entonces, el angulo C es 7x.
En un triangulo, los angulos se suman para ser 180 degrados. En el triangulo BCE, hay un angulo recto.
7x + 2x + 90 = 180
7x + 2x = 90
9x = 90
x = 10
Espero que este te ayude!
What is the circumference of a circular swimming pool with a diameter of 6 ½ feet? ______________ ft. (use for pi) A. 6 3/7 B. 71 1/2 C. 9 9/14 D. 20 3/7
Answer:
The answer is option D
Step-by-step explanation:
Circumference of a circle is πd
where d is the diameter
From the question
d = 6½ feet = 13/2 feet
Circumference is
π × 13/2
= 22/7 × 13/2
= 143/7
[tex] = 20 \frac{3}{7} [/tex]
Hope this helps you
Answer:
d
Step-by-step explanation:
/its wat he sed