Answer:
[tex]x\approx 49.6^{\circ}[/tex]
Step-by-step explanation:
In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side.
For angle [tex]x[/tex]:
Opposite side is 40Adjacent side is 34Therefore, we have:
[tex]\tan x^{\circ}=\frac{40}{34}[/tex]
Take the inverse tangent of both sides to solve for [tex]x[/tex]:
[tex]\tan^{-1}(\tan x)=\tan^{-1}(\frac{40}{34}),\\x=\tan^{-1}(\frac{40}{34}),\\x=49.63546343\approx \boxed{49.6^{\circ}}[/tex]
*Recall [tex]\tan^{-1}(\tan x)=x\text{ for } x\in (-90^{\circ}, 90^{\circ})[/tex]
A is 5 times B, and B is 7 less than 2 times C. Which of the following statements describes the
relationship betweeen A & C?
(a) A is 7 less than 7 times c
(b) A is 7 less than 10 times C
(C) A is 14 less than 7 times C
(d) A is 35 less than 7 times C
(e) A is 35 less than 10 times C.
Answer:
C is the answer
Step-by-step explanation:
I'm sure it is
I need helppp someone e
Help me pls
Step-by-step explanation:
s ask me what's your question I can help u
A rectangular field is 16m broad and the ratio of the length and breadth is 3:2.
1.find the length of the field
2.find the perimeter of the field
3.find the area of the field.
Answer:
x = length of the rectangle = 24 m
Perimeter of the field = 80 m
Area of the field = 384 square meter
Step-by-step explanation:
Width of the rectangle = 16 m
Ratio of the length and width = 3:2
Let
x = length of the rectangle
Ratio of the length and width = x : 16
Equate both ratios
x : 16 = 3 : 2
x/16 = 3/2
Cross product
x * 2 = 16 * 3
2x = 48
x = 48/2
x = 24
x = length of the rectangle = 24 m
Perimeter of the field = 2(length + width)
= 2(24 m + 16 m)
= 2(40 m)
= 80 m
Perimeter of the field = 80 m
Area of the field = length × width
= 24 m × 16 m
= 384 m²
Area of the field = 384 square meter
Find the area of the compound shape
Answer:
15 units²
Step-by-step explanation:
The figure is a trapezoid, whose area (A) is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 3 , b₁ = 3, b₂ = 7 , then
A = [tex]\frac{1}{2}[/tex] × 3 × (3 + 7) = 1.5 × 10 = 15 units²
Please help me! ❤️ I got stuck on this and really need some help
Answer:
0,-4
-2.65,2.62
2.65,2.62
Step-by-step explanation:
[tex]0^2 = 0\\-2.65^2 =7.0225\\ 2.65^2 =7.0225[/tex]
[tex]y = x^2 - 4[/tex]
-4, 3.0225
[tex]-4^2 = 16\\3.0225^2=9.1355[/tex]
PLEASE HELP ME SOMEONE I NEEDDDDDDD HELP PLEASE QUICK!!!!!!!!
Answer:
2/60 = 1/30 = 3.3%
Step-by-step explanation:
I need help please!!!
Answer:
Isosceles triangle
The figure shows a parallelogram inside a rectangle outline:
What is the area of the parallelogram?
Answers:
(Please choose an answer out of these four, not one that's different!)
1 over 25 square foot
11 over 25 square foot
3 over 25 square foot
4 over 25 square foot
Answer: Choice D) 4 over 25 square foot
This is the same as writing the fraction 4/25 of a square foot.
============================================================
Explanation:
The base of the rectangle is 3/5 of a foot. The horizontal portion of either triangle is 1/5 of a foot.
These two facts allow us to find that the base of the parallelogram is 3/5 - 1/5 = 2/5 of a foot.
Multiply this with the height (2/5) to get
area = base*height
area = (2/5)*(2/5)
area = 4/25 .... answer is choice D
Side note: the base and height are not always the same length.
-----------
A slightly longer approach would have you follow these steps
Find the area of the rectangle. Call it A.Find the area of the triangle on the left. Call it B.Find the area of the triangle on the right. Call it C. You should find that B and C are the same value.The final answer is the computation of A-B-C and you should get 4/25.help leee plzzzzzzzbbbnbbbb
**who can help me**
Answer:
.
Step-by-step explanation:
Carol ran a 100 meter race in 13. 4 seconds. But, it was wrongly
measured as 14.1 seconds. What is the percent error involved in the
measurement?
Answer: Approximately 5.22%
========================================================
Work Shown:
A = true value = 13.4 seconds
B = measured value (erroneous value) = 14.1 seconds
C = percent error
C = [ (B-A)/A ] * 100%
C = [ (14.1-13.4)/(13.4) ] * 100%
C = 0.0522 * 100%
C = 5.22%
This value is approximate.
what's the answer for 36x² - 84xy + 49y²
Answer:
(6x-7y)(6x-7y).
Step-by-step explanation:
.
Answer:
36x² - 84xy + 49y² =
6²x² - 2 (6x) (7y) + 7²y² =
(6x - 7y) ²
Answer.
(6x - 7y) ²
What is the vertex of the quadratic function below?
y = x2 + 12x - 7
Answer:
(6,101)
Step-by-step explanation:
x value of vertex is given by b/2a in quadratic.
b=12 and a=1
that gives you a 6, then plug in x=6 in the quadratic equation and that gives you
y=101
x + y = 15
5x - y = 9
Elimination method
(4, ? )
what number is the ?
Which best describes the vertex of the graph?
a (-3, -4)
b (-3, -4)
c (3, -4)
d (3, -4)
Answer: C
Step-by-step explanation:
Find the measure of the indicated angle.
Answer:
the answer is 96°
Step-by-step explanation:
it is an isosceles triangle as it's 2 sides are equal.
for an isosceles triangle, the angles made by the equal sides with the third side are equal.
and the sum of all angles in a triangle = 180°
42 + 42 + x = 180
x = 180 - 84
X = 96°
A jet travels 832 km in 5 hours.at this rate,how far could the jet fly in 12 hours? What is the rate of speed of the jet
Answer:
1344.
Step-by-step explanation :
.
The speed of the jet will be 166.4. If the jet fly for 12 hours, then the distance cover will be 1996.8.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
A jet travels 832 km in 5 hours.
Then the speed of the jet will be
Speed = 832 / 5
Speed = 166.4 km per hours
If the jet fly for 12 hours, then the distance cover will be
Distance = Speed x Time
Distance = 166.4 x 12
Distance = 1996.8 km
More about the speed link is given below.
https://brainly.com/question/7359669
#SPJ2
Please help I don’t understand
Answer:
8/15
Step-by-step explanation:
The ratio of perpendicular to base is tan B .
Here ,
=> tan B = 8 ft/ 15ft
=> tan B = 8/15
Someone help me please
Answer:
(x + 10)(2x + 5)
Step-by-step explanation:
Given
2x² + 25x + 50
Consider the factors of the product of the coefficient of the x² term and the constant term (ac) which sum to give the coefficient of the x- term (b)
ac = 2 × 50 = 100 and b = 25
The factors are + 20 and + 5
Use these factors to split the x- term
2x² + 20x + 5x + 50 ( factor the first/second and third/fourth terms )
= 2x(x + 10) + 5(x + 10) ← factor out (x + 10) from each term
= (x + 10)(2x + 5)
what shape is this cause I'm having a bit of trouble?
Answer:
isn't that a square or is it called sum eles-
Step-by-step explanation:
¿Cuál es el capital que necesito, si quiero obtener una ganancia de $9745 en 5 meses aplicando una tasa del 6,3?
Answer:
The capital is $ 309365.
Step-by-step explanation:
What is the capital that I need, if I want to obtain a profit of $ 9745 in 5 months applying a rate of 6.3?
Let the capital is P.
Simple interest, I =$ 9745
Rate, R = 6.3 %
Time, T = 5 months
Use the formula of the simple interest.
[tex]9745=\frac{P\times 6.3\times 5}{1200}\\\\P = 309365[/tex]
The a oranial price of a skate broad was reduced by 15 dollars .the new price is 49 dollars if p=the stakebroads oranail price in dollars what mathematical sentence expresses the information
a.49-p=15
b.15-p=49
c.15+p=49
d.p-15=49
Answer:
d. p - 15 = 49
Step-by-step explanation:
p = original price
The price was reduced by 15 dollars.
The new price is p - 15.
The new price is 49.
p - 15 = 49
Answer: d. p - 15 = 49
If the angle of a triangle are in the ratio 1:2:3, determine the 3 angles
Answer:
The angles are : 30° , 60° , 90°
Step-by-step explanation:
Sum of angles in a triangle = 180°
Given: the angles are in the ratio = 1 : 2 : 3
Sum of the ratio = 6
Therefore , the angles are
[tex]first \ angle = \frac{1}{6} \times 180^\circ = 1 \times 30 = 30^\circ\\\\second \ angle = \frac{2}{6} \times 180^\circ = 2 \times 30 = 60^\circ\\\\third \ angle = \frac{3}{6} \times 180^\circ = 3 \times 30 = 90^\circ[/tex]
[tex]\displaystyle\bf \angle1:\angle2:\angle3=x:2x:3x\\\\x+2x+3x=180\\6x=180\\x=30 \\\angle3=3x=30\cdot3=90 \\\\Answer: \angle3=90^o[/tex]
Rewrite the equation 8x + 6x2 - 7= in standard form and identify a, b, and c.
Select one:
a. a =5,b= 8.c = -7
b.a=6,6= 8,0 = 1
ca=5,b=8,0= 7
da= 8,b= 6.c = -7
40
Answer:
a = 6
b = 8
c = -7
Step-by-step explanation:
In standard form, we have ;
y = ax^2 + bx + c
Here, we have;
6x^2 + 8x - 7
a is the coefficient of x^2 which is 6 in this case
b is the coefficient of x which is 8
c is the last number which is -7
So we have;
a = 6
b = 8
c = -7
What is the solution of 5/2x-7=3/4x+14
Answer:
D. x = 12
Step-by-step explanation:
if you plug 12 in
the solutoon says 23 = 23 which is correct
Answer:D 12
Step-by-step explanation:
I took the test
Solve........................
Hello,
here is the picture:
Slope (PR):
[tex]m=\dfrac{2-4}{6-2} =-\dfrac{1}{2} \\Slope\ of\ the\ perpendicular: -\dfrac{1}{\dfrac{-1}{2} } =2\\\\perpendicular\ is\ passing\ trought\ M(4,3): y-3=2(x-4)\\y=2x-5\\If\ y=0\ then\ x= \dfrac{5}{2} \\Q=( \dfrac{5}{2},0)\\[/tex]
HELP PLEASE !!!!
create diagrams to represent the possible causes for common tangents between two circles. your diagram can be created using multimedia sources or drawn by hand. they should not be copied and pasted from a website. explain why your diagrams satisfy the given criteria.
no common tangents
diagram
justification
Answer:
justification: A tangent is defined as "a straight line that touches a curve or curved surface at a point, but if extended does not cross it at that point." As you can see in the diagram, the line does not extend, which means there are two common tangents. (this is actually a diagram for two common tangents im pretty sure. wouldnt make since otherwise)
Calcule as expressões:
a) (-1/2)² + 2/5 =
b) (-1/2)³ + 1 =
c) (2/5)² x (-1/2)³ =
d) 2 x (-1/3)² - (1/2) =
e) 1 + (+2/5) – ( ½)² =
Step-by-step explanation:
a, 1/4+2/5=13/20
b,-1/8+1=7/8
c, 4/25×-1/8=-1/50
d, 2×1/9-1/2=2/9-1/2=-5/18
e, 1+2/5-1/4=7/5-1/4=23/20
9. Consider the line y = 4x+9. If a second line is perpendicular to this one, what is its slope? please show your work, i will mark brainliest!
Answer:
Slope of the line perpendicular to the given line = [tex]- \frac{1}{4}[/tex]
Step-by-step explanation:
If two are lines are perpendicular to each other,
the product of their slopes = - 1 .
That is ,
[tex]m_ 1 \times m_2 = -1[/tex]
Slope of the given line :
[tex]m_ 1 = 4[/tex]
Hence slope of the line perpendicular to it :
[tex]4 \times m_ 2 = - 1 \\\\\frac{4}{4} \times m_2 = - \frac{1}{4} \\\\1 \times m_2 = - \frac{1}{4}\\\\m_ 2 = \frac{-1}{4}[/tex]
The slope of the line perpendicular to the equation y = 4x + 9 is m = -1/4
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = 4x + 9 be equation (1)
The equation is of the form y = mx + b where m is the slope and b is the y-intercept
Substituting the values in the equation , we get
Slope m = 4
Now , the second line is perpendicular to the line A , the product of slopes of the lines will be -1
So , m₁ x m₂ = -1
4 x m₂ = -1
Divide by 4 on both sides of the equation , we get
m₂ = -1/4
Therefore the value of m₂ is -1/4
Hence , the slope of the line is m₂ = -1/4
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ2
The number 6 is a solution to which of the following inequalities?
X - 13 > 7
6x < -12
6x > 32
21 + x < 28
Answer:
21 + x < 28
Step-by-step explanation:
27 is in fact greater than 28 if you where to input 6 into the x spot, this is the only one that's a true expression.