Each year, your account is multiplied by 1.05 (5% increase). Thus, after 5 years, your account would have been multiplied by that value 5 times.
[tex](1.05)^5=1.27628...[/tex]
Thus, the total percent increase would have been 27.6% (rounded to the nearest tenths).
Area of a triangle is 1400 cm² the base of the triangle is 5 times the height what is the height of the triangle
Answer:
≈23.66
Step-by-step explanation:
Height ---> x
base ---> 5x
Formula for area of triangle: (base*height)/2
((5x)(x))/2 = 1400
[tex]5x^{2}[/tex]/2 = 1400
[tex]5x^{2}[/tex] = 1400 · 2 = 2800
[tex]x^2[/tex] = 2800/5 = 560
x= √560 ≈ 23.66
Please answer this question now
Answer:
541.4 m²
Step-by-step Explanation:
Step 1: find m < V
V = 180 - (50+63) (sum of the angles in ∆)
V = 67
Step 2: find side length of XW using the law of sines
[tex] \frac{XW}{sin(V)} = \frac{XV}{sin(W)} [/tex]
Where,
V = 67°
W = 63°
XV = 37 m
XW
[tex] \frac{XW}{sin(67)} = \frac{37}{sin(63)} [/tex]
Multiply both sides by sin(67) to solve for XW
[tex] \frac{XW}{sin(67)}*sin(67) = \frac{37}{sin(63)}*sin(67) [/tex]
[tex] XW = \frac{37*sin(67)}{sin(63)} [/tex]
[tex] XW = 38.2 m [/tex] (to nearest tenth)
Step 3: find the area using the formula, ½*XW*XV*sin(X)
area = ½*38.2*37*sin(50)
Area = 541.4 m² (rounded to the nearest tenth.
Write an equation of the line that passes through the point (–4, 6) with slope –4.
Answer:
y = - 4x - 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 4 , thus
y = - 4x + c ← is the partial equation
To find c substitute (- 4, 6) into the partial equation
6 = 16 + c ⇒ c = 6 - 16 = - 10
y = - 4x - 10 ← equation of line
Answer:
y = -4x+10
Step-by-step explanation:
Using the slope intercept form of a line
y = mx+b where m is the slope and b is the y intercept
y = -4x +b
Substituting the point in
6 = -4(-4) + b
6 = 16+b
Subtract 16 from each side
-10 =b
The equation is
y = -4x+10
If mArc N P is 6 more than 5 times the measure of Arc M N , what is mArc N P ?
139°
145°
151°
174°
Answer: the answer is 151
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Find the measure of the indicated angle to the nearest degree. Will Give Brainliest!!
Answer:
see below
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos ? = adj / hyp
cos ? = 30/48
Taking the inverse cos of each side
cos ^ -1 cos ? = cos ^ -1 ( 30/48)
? = 51.31781255
To the nearest degree
? = 51
Since this is a right triangle, we can use trig functions
cos ? = adj / hyp
cos ? = 40/53
Taking the inverse cos of each side
cos ^ -1 cos ? = cos ^ -1 ( 40/53)
? = 40.99935365
To the nearest degree
? = 41
Since this is a right triangle, we can use trig functions
tan ? = opp/adj
tan ? = 1/2
Taking the inverse tan of each side
tan ^ -1 tan ? = tan ^ -1 ( 1/2)
? = 26.56505118
To the nearest degree
? = 27
Since this is a right triangle, we can use trig functions
sin ? = opp / hyp
sin ? = 29/35
Taking the inverse sin of each side
sin ^ -1 sin ? = sin ^ -1 ( 29/35)
? = 55.95226763
To the nearest degree
? = 56
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
All the triangles are right triangles, we can use trigonometric functions.
5) cos θ = adj / hyp
cos x = 30/48
cos⁻¹ cos x = cos⁻¹ (30/48)
x = 51.31781...
x ≈ 51
6) cos θ = adj / hyp
cos x = 40/53
cos⁻¹ cos x = cos⁻¹ (40/53)
x = 40.99935...
x ≈ 41
7) tan θ = opp/adj
tan x = 1/2
tan⁻¹ tan x = tan⁻¹ (1/2)
x = 26.56505...
x ≈ 27
8) sin θ = opp / hyp
sin x = 29/35
sin⁻¹ sin x = sin⁻¹ (29/35)
x = 55.95227...
x ≈ 56
7. The radius of a cylinder whose curved surface area is 2640 2 and height 21 cm is _________. (a) 100 ° (b) 50° (c) 80° (d) 90°
Answer:
The answer is 21.25cm
Step-by-step explanation:
Hope i am marked as brainliest
Figure G is rotated 90Degrees clockwise about the origin and then reflected over the x-axis, forming figure H. On a coordinate plane, triangle G has points (negative 3, 1), (negative 1, 2), (negative 2, 5). Triangle H has points (2, negative 1), (1, negative 3), (5, negative 2). Which sequence of transformations will produce the same results?
Answer:
The 1st selection is appropriate.
_____
2nd: the rotation would need to be 90° CCW
3rd, 4th: rotation or double reflection will give the original orientation. This figure is reflected an odd number of times, so has its orientation reversed.
Hope it helps.. Mark brainliest
The sequence of transformations are reflection over the y-axis and then a rotation 90 clockwise about the origin.
What is rotation rule of 90°?Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).
Given that, figure G is rotated 90° clockwise about the origin and then reflected over the x-axis, forming figure H.
Vertices of triangle G are (-3, 1), (-1, 2) and (-2, 5).
The reflection of point (x, y) across the y-axis is (-x, y).
On reflection over x-axis, we get coordinates as (3, 1), (1, 2) and (2, 5)
90° clockwise rotation: (x, y) becomes (y, -x)
On 90° clockwise rotation, we get coordinates as (1, -3), (2, -1) and (5, -2)
Triangle H has points (2, -1), (1, -3), (5, -2).
Hence, the sequence of transformations are reflection over the y-axis and then a rotation 90° clockwise about the origin.
Learn more about the rotation of 90° counterclockwise here:
brainly.com/question/1571997.
#SPJ6
(1.6x+1.8)÷2.4−0.8=4.2
Answer:
x = 6.375
Step-by-step explanation:
Step 1:
4.2+0.8 = 5
(1.6x+1.8)÷2.4 = 5
Step 2:
5 · 2.4 = 12
1.6x + 1.8 = 12
Step 3:
12 - 1.8 = 10.2
1.6x = 10.2
Step 4:
10.2 ÷ 1.6 = 6.375
x = 6.375
There are 25 students in Mr. Jones’ art class. Mr. Jones is planning a project where each student needs 0.3 jar of paint. Exactly how much paint does Mr. Jones need for the art project?
Answer:
7.5 jars
Step-by-step explanation:
There are 25 students in the art class.
Mr Jones is planning that for the project, each of the 25 students will need 0.3 jar of paint.
The amount of paint Mr Jones needs for this project is therefore the product of the number of students in the class by the amount of paint each student needs.
That is:
25 * 0.3 = 7.5 jars of paint
Mr Jones needs 7.5 jars of paint for the art project.
Please answer this question now
Answer:
Step-by-step explanation:
The side y is across from the angle Y which is 68 degrees. Angle Y is next to both the hypotenuse (14 units) and adjacent to the side XY (5 units). If we are finding side y, we need to use one of the trig ratios that relates the angle Y to the side across from it. That would be either the sin of Y which is the side opposite y) over the hypotenuse (14) or the tan of Y which is the side opposite over the side adjacent. Either one will get you the side lengths within a tenth or hundredth of each other. Let's do both, just because. First the sine:
[tex]sin(68)=\frac{y}{14}[/tex] and
14sin(68) = y so
y = 12.98 and rounded to the nearest tenth is 13.0
Now the tangent:
[tex]tan(68)=\frac{y}{5}[/tex] and
5tan(68) = y so
y = 12.37 and rounded to the nearest tenth is 12.4.
As an integer, your answer would be 13; as a decimal it would be the 12.4
Apparently, either is fine.
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y > −4x − 1
y is less than 3 over 2 times x minus 1
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (−1, −1) included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)
Answer:
Check below
Step-by-step explanation:
Hi there let's graph.
[tex]y>-4x-1\\ y<\frac{3}{2} x-1[/tex]
(Check below)
A) Looking at the pair of inequalities, the solutions is the interval that have the common points that satisfy both inequalities. Look at the graph for the point (6,4) this point satisfy both inequalities.
Plugging in those values (6,4)
[tex]4>-4(6)-1\\4>-25 \\\\[/tex]
Similarly for the second inequality
[tex]4 < 3/2(6)-1\\4<8[/tex]
Since the signal is lesser (<) and greater than (>) the lines are dashed.
B) No. (-1,-1) does not belong to any of those intervals. Check below. By the same procedure above. Check it out algebraically:
-1>4-1
-1>3 False!
And
-1<-3/2-1
-1<-1 False
Please answer this question now
Answer:
36°
Step-by-step explanation:
<U + < V + <W = 180° (sum of angles in a triangle)
<W = 54°
The tangent is always perpendicular to the radius drawn to the point of tangency...
therefore,
<U = 90°
90° + <V + 54° = 180°
144° + <V = 180°
<V = 180° - 144°
<V = 36°
Answer:
V=36
Step-by-step explanation:
tangent makes rigt angle with radius angle U=90
W+V+U=180
V=180-90-54
V=36
PQRS is a parallelogram. Find the values of a and b. Solve for the value of c if c = a + b.
A. 5
B. 14
C. 0
D. 7
Answer:
a = 7
b = 7
c = 14 [Correct option is B. 14]
Step-by-step explanation:
Since the shape is a parallelogram, to solve this problem, use some of the properties of a parallelogram:
(i) Opposite sides are parallel and congruent. Being congruent means the sides are identical. In other words, they have the same length.
From the diagram, this means that sides PQ and SR are identical. i.e
=> PQ = SR
=> 6a + 10 = 8a - 4 [collect like terms and solve]
=> 14 = 2a
=> a = 7
(ii) Opposite angles are congruent. Angles PQR and PSR are identical. i.e
<PQR = <PSR = (9b + 2)°
Also,
<SPQ = <SRQ = (18b - 11)°
(iii) Consecutive angles are supplementary. The sum of any two angles that are not opposite to each other is 180°. i.e.
<SPQ + <PQR = 180°
<PQR + <QRS = 180°
<QRS + <RSP = 180°
.
.
.
Also,
<PSR + <SPQ = 180°
(9b + 2)° + (18b - 11)° = 180° [expand bracket and solve for b]
9b + 2 + 18b - 11 = 180
27b - 9 = 180
27b = 189
b = 7
Now, since a = 7 and b = 7;
c = a + b = 7 + 7 = 14
Therefore;
a = 7
b = 7
c = 14
Triangle D E F is shown. Lines are drawn from each point to the opposite side and intersect at point G. Line segments D C, E B, and F A are formed and cut each side into 2 equal parts. In triangle DEF, DG = 10 cm. What is CG? 5 cm 10 cm 15 cm 20 cm
Answer:
5 cm
Step-by-step explanation:
As we can see in the attached figure that G is the point at which the three medians of the triangle meet i.e we called the centroid
And, according to the property of the centroid, it divides the medians in ratio i.e 2:1
DG: CG = 2 : 1
Since the DG is 10 cm
So, the CG would be half of DG i.e 5 cm
Hence, the CG is 5 cm
Therefore the first option is correct
Answer:
the answer is 5 cm
Step-by-step explanation:
PLZ HELP ASAPPP!! I'M NOT 100% SURE ON HOW TO DO THIS
Answer:
1) 4a + 8
2) 12a² - 8a
3) 2a² + 8a
4) 4 - 6a
Step-by-step explanation:
The GCF of two numbers is the greatest common number each of the original two numbers can be divided by to get a whole number.
Hope it helps <3
Answer:
4 4a+8
4a [tex]12a^{2}[/tex]+8a
2a [tex]2a^{2} +8a[/tex]
2 4-6a
Step-by-step explanation:
Okay basicly you wand to find the biggest number that can go into both numbers
like the greatest common fact for 4a+8 would be 4 since only one of the numbers have an a you would just leave that out
Since you can take a 4 and an a out of [tex]12a^{2} \\[/tex] and out of 8a the greatest common factor would be 4a
Since you are able to take a 2 and an a out of [tex]2a^{2} +8a[/tex] your greatest common factor would be a
Since the largest number that can go into 4 and 6 is 2 your answer would be 2
Hope this helps you understand!
I'm going to mark whoever gets it right as brainliest Fred's coffee shop sells two blends of beans at the following prices. a) House Blend ($3.50/lb) b) Exotic Blend ($4.00/lb). House blend is 1/2 Costa Rican beans and 1/2 Ethiopian beans. Exotic blend is 1/4 Costa Rican beans and 3/4 Ethiopian beans. Every day Fred receives 200 lbs of Costa Rican Beans and 330 lbs of Ethiopian beans. Which inequality is a constraint? * 1/2x+1/4y or = to 530 x < or = 200
Answer:
(1/2)x + (1/4)y <= 200
Step-by-step explanation:
If
x = # of lbs of House blend he makes/sells a day
y = # of lbs of Exotic blend he makes/sells a day
then constraints are
(1/2)x + (1/4)y <= 200 ....................(1)
x+y <= 530 .....................................(2)
The exact answer choices are not very clear from the question, but either (or both) (1) or (2) must be one of them. If not, please edit question or add a comment to show the answer choices.
Sketch the graph of y=-3(x-3)2+4 and identify the axis of symmetry.
Answer:
The axis of symmetry of parabola is the equation where it cuts the middle of the graph.
So the axis of symmetry is x = 2 .
Text: these two triangles are similar
Values from left to right: 10, 12, 9
What is the area of the shaded area
Answer:
26.25 cm²
Step-by-step explanation:
The area of the shaded part is the area of the shaded triangle subtract the area of the white triangle.
Since the triangles are similar then the ratios of corresponding sides are equal.
let the height of the white triangle be h, then
[tex]\frac{12}{9}[/tex] = [tex]\frac{10}{h}[/tex] ( cross- multiply )
12h = 90 ( divide both sides by 12 )
h = 7.5
shaded area = [tex]\frac{1}{2}[/tex] × 12 × 10 - [tex]\frac{1}{2}[/tex] × 9 × 7.5 = 60 - 33.75 = 26.25 cm²
y=8-2x. What is the value of y when x = 8?
Answer:
y = -8
Step-by-step explanation:
Start by filling 8 in place of x
y = 8 - 2(8)
Multiply -2(8)
y = 8 - 16
Subtract 16 from 8
y = -8
PLEASE HELP!!!
What does it mean to say that a data point has a residual of -1?
Answer: Option C, 1 unit bellow.
Step-by-step explanation:
The residual of a data point is equal to the vertical distance between the point and the regression line
If the data point is above the line, the residual is positive
if the data point is below the line, the residual is negative.
So here we have a negative residual equal to -1
This would mean that our point is 1 unit below the regression line.
Then the correct option is C.
Answer:
The answer is 1 unit below.
Step-by-step explanation:
This is because the residual is the difference between the actual value of a dependent variable & the value predicted by a regression equation. So if the data point has a residual of -1, that means that the data point lies 1 unit below the regression line.
find two rational numbers whose sum is -10,0,15
Answer:
Sum of two rational numbers-
-10 = -5+-5
0= -5+5
15= 10+5
Step-by-step explanation:
What is the 52nd term of -11,-2,7,16,25,34
Answer:
448
Step-by-step explanation:
Formula
tn = a + (n - 1)d
Givens
a = - 11
n = 52
d = 9
Solution
t52 = -11 + (51)*9
t52 = - 11 + 459
t52 = 448
Which statement is true about the equation fraction 3 over 4z = fraction 1 over 4z − 3 + 5?
Answer:
It has two solutions.
Step-by-step explanation:
Let as consider the given options are
It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.
The given equation is
[tex]\dfrac{3}{4z}=\dfrac{1}{4z-3}+5[/tex]
Multiply both sides by 4z(4z-3).
[tex]3(4z-3)=4z+5(4z(4z-3))[/tex]
[tex]12x-9=4z+80z^2-60z[/tex]
[tex]0=-12x+9+80z^2-56z[/tex]
[tex]0=80z^2-68z+9[/tex]
It is a quadratic equation.
Therefore, it has two solutions.
Answer:
It has 1 solution
Step-by-step explanation:
I did the test I put the guys above me in and got it wrong
I) Construct a triangle PQR such that |PQ|=8cm,{RPQ=90°{PQR=30°.Measure |RQ|
Answer:
6.93 cm
Step-by-step explanation:
You have a right triangle (90°), so you do as follow:
If I understand correctly, you are looking for the hypotenuse so
[tex]cos(30) = \frac{PQ}{QR} = \frac{8 cm}{QR}[/tex]
That is equal to [tex]QR = cos(30)*8 cm = 6.928 cm[/tex]
HELP ASAP PLEASE answer quickly
Answer:
A. [tex]\frac{3}{5}[/tex]
B. [tex]\frac{7}{10}[/tex]
C. B (you already got that right)
Step-by-step explanation:
To find the probability of something, we have to see how many times it happened over the total amount of attempts.
On Tuesday the target was hit 18 times in 30 attempts. So our probability fraction is [tex]\frac{18}{30}[/tex] which simplifies to [tex]\frac{3}{5}[/tex].
Looking at the total results, we can see Ben hit the target 84 times out of 120, so the fraction is [tex]\frac{84}{120}[/tex] which simplifies to [tex]\frac{7}{10}[/tex].
There’s always one rule of statistics/probability - the more data the better. If we want to create a more reliable probability, we’d want more data, and the total data gives us more than just Tuesday’s Data.
Hope this helped!
4 men can make 4 Cupboards in 4 days ; how many cupboards can 14 men make in 14 days?
Answer:
49 cupboards
Step-by-step explanation:
See the steps below, it is self-explanatory:
4 men ⇒ 4 days ⇒ 4 cupboards4 men ⇒ 1 day ⇒ 1 cupboard1 man ⇒ 1 day ⇒ 1/4 cupboard14 men ⇒ 1 day ⇒ 14/4 cupboards14 men ⇒ 14 days ⇒ 14*14/4 cupboardsAs 14*14/4= 49, the answer is 49 cupboards
The figure above shows a right-angled triangle OAB. AOC is a minor sector enclosed in the triangle. If OA = 7 cm, AB = 6 cm, calculate the area and perimeternof the shaded region. PLEASE HELP!
Answer:
Step-by-step explanation:
Given that:
OA = 7 cm, AB = 6 cm. ∠A = 90°, OA = OC = 7 cm
Using Pythagoras theorem: OB² = OA² + AB²
OB² = 6² + 7²=85
OB = √85 = 9.22 cm
to find ∠O, we use sine rule:
[tex]\frac{AB}{sin(O)}=\frac{OB}{sin(A)}\\ \\sin(O)=\frac{AB*sin(A)}{OB}=\frac{6*sin(90)}{9.22} =0.65 \\\\O=sin^{-1}0.65=40.6^o[/tex]
AOC is a minor sector with radius 7 cm and angle 40.6
The Area of the triangle OAB = 1/2 × base × height = 1/2 × OA × AB = 1/2 × 7 × 6 = 21 cm²
Area of sector OAC = [tex]\frac{\theta}{360}*\pi r^2=\frac{40.6}{360}*\pi *7^2=17.37 \ cm^2[/tex]
Area of shaded region = The Area of the triangle OAB - Area of sector OAC = 21 - 17.37 = 3.63 cm²
Perimeter of arc AC = [tex]\frac{\theta}{360}*2\pi r=\frac{40.6}{360}*2\pi *7=4.96\ cm[/tex]
CB = OB - OC = 9.22 - 7 = 2.22
Perimeter of shaded region = AB + CB + arc AC = 6 + 2.22 + 4.96 = 13.18 cm
what is 3x^3 - 11x^2 - 26x + 30 divided by x-5?
Answer:
Most likely the answer is
3x^2+4x-6
Answer:
3x^2+4x-6 is correct
what is the vertex of g(x)=-3x^2+18x+2? a) (3,-25) b) (-3,-25) c) (3,29) d) (-3,29)
C). (3, 29) would be your answer.
Explanation?:
Rewrite the equation in vertex form.
y = -3(x - 3)^2 + 29
use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.
a = -3
h = 3
k = 29
The vertex = (h, k)/(3, 29)
Hope this helps!
Answer:
It would be c
Step-by-step explanation:
Circle O below has radius 1. Eight segment lengths are labeled with lowercase letters. Six of these equal a trigonometric function of theta. Your answer to this problem should be a six letter sequence whose letters represent the segment lengths that equal the following functions (in the correct order):
sin(theta),
cos(theta),
tan(theta),
csc(theta),
sec(theta),
cot(theta).
So, for example, you would answer a,k,h,c,b,d if you thought
sin(theta) = a,
cos(theta) = k,
tan(theta) = h,
csc(theta) = c,
sec(theta) = b,
cot(theta) = d.
I was able to come up with:
sin(theta) = d,
cos(theta) = a,
tan(theta) = h,
csc(theta) = f,
sec(theta) = g,
cot(theta) = h.
Answer:
32
Step-by-step explanation: