Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x = 63.8°
Step-by-step explanation:
[tex]tan x = \frac{opposite}{adjacent} \\\\tan x = \frac{5.9}{2.9}\\\\x= tan^{-1} (\frac{59}{29})\\\\x = 63.82 = 63.8[/tex]
The measure of the angle [x] is equivalent to 26.6°.
What is triangle? What is similarity of triangles?A triangle is a polygon with three edges and three vertices. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.If two triangles are similar, then the ratio of their corresponding angles and sides are in same proportion.Given is a triangle ΔPON as shown in the image.
From the triangle ΔPON, we can write -
tan (x°) = ON/OP
tan (x°) = (5.9/2.9)
tan (x°) = (59/29)
tan (x°) = 2.1
x° = tan⁻¹ (2.1)
x° = 26.6°
Therefore, the measure of the angle [x] is equivalent to 26.6°.
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amelia is going to invest in an account paying on interest rate of 6.5% compounded daily? help me plz someone
Answer:
$9,763
Step-by-step explanation:
Using the compund interest formula;
A = P(1+r)^t
A is the amount = $10,200
rate r = 6.5%= 0.065
time t = years
n = 1/365 ((daily compounding)
Substitute into the formula and get Pincipal P
10,200 = P(1+0.065(365))^5/365
10200 = P(1+23.725)^0.01369
10200 = P(24.725)^0.01369
10200 = P(1.0448)
P = 10200/1.0448
P = 9,762.6
Hence the amount invested is $9,763 to nearest dollars
Given the triangle below, what is m
A. 46.2
B. 41.40
C. 48.4
D. 38.6°
Answer:
B 41.4
Step-by-step explanation:
complete Pythagoras for general triangles :
c² = a² + b² - 2ab×cos(C)
with "c" being the side opposite of the angle C.
=>
8² = 10² + 12² - 2×10×12×cos(C)
64 = 244 - 240×cos(C)
240×cos(C) = 244 - 64 = 180
cos(C) = 180/240 = 18/24 = 3/4 = 0.75
C = 41.40962211... ≈ 41.4
Insert parentheses into the expresstion 15+3-6×4 to make it equal 48
Answer:
(15+(3-6))x4
Step-by-step explanation:
1. 3-6 = -3
2. 15+-3 = 12
3. 12x4 = 48
please help!! I'm super confused
===================================================
Explanation:
Check out the diagram below. I've drawn a horizontal line to split the orange region into two parts: a triangle on top and a rectangle down below.
The triangle has base 11 cm and height 7 cm. The area is base*height/2 = 11*7/2 = 77/2 = 38.5 sq cm.
The rectangle has area 11*8 = 88 sq cm.
The total area of the entire orange figure is 38.5+88 = 126.5 square cm
Help please me please please need explanation
9514 1404 393
Answer:
a) see attached
b) 1/3
Step-by-step explanation:
Your grid doesn't come with any coordinate axes, so you will need to draw those and label them. You will also need to determine the number of grid squares for each unit. (I suggest 2 grid squares per unit to give you a little more distance between the points you plot. The attachment shows 5 small squares per unit. You may not have this much space on your graph.)
Plot the points. Once you do this, you can see that their horizontal difference is 3 units and their vertical difference is 1 unit. The right point is above the left point, so the slope is positive:
m = (rise)/(run) = 1/3 . . . slope of the line
For the inverse variation equation p=8/V
what is the value of Vwhen p=1/2?
Answer:
v = 16
Step-by-step explanation:
p = 8/v and p = 1/2. Equating these two, we get 8/v = 1/2.
Inverting both sides, we get v/8 = 2.
Find the vaue of v by multiplying both sides by 8: v = 16
the mass of an adult north pacific right whale is about 70,000 kg, or 7 x 10 4 kg. the mass of a male polar bear is about 700 kg, or 7 x 10 2 kg. about how many times more massive is the right whale than the polar bear?
log3 x+log3 (x+30)=log3 64
Answer:
x = 2
Step-by-step explanation:
[tex] log_{3}x(x+ 30) = log_{3}64 \\ x(x + 30) = 64 \\ {x}^{2} + 30x - 64 = 0 \\ x = 2 \: or \: x = - 32[/tex]
-32 is rejected because in logarithms you cannot use negative value so x=2
Find the measure of Angle ADE
Answer:
30°
Step-by-step explanation:
because the sum of all interior angles in a triangle is 180 degrees
180°= ∡ADE+∡DAE+∡AED
∡ADE = 180°-∡DAE -∡AED
because the diagonals are perpendicular so they form 90° angles, and ∡BRC≅∡AED(vertical angles)
∡AED =90
To find ∡DAE we need to find the value of y
11y+2 =90
11y =90-2
y=88/11
y=8
∡DAE=7y+4=7 ·8 +4= 56+4 =60°
now we know what we need to find ∡ADE
∡ADE = 180°-∡DAE -∡AED
∡ADE = 180°-60° -90°
∡ADE = 30°
I need help with this one
Answer:
8
Step-by-step explanation:
7779.949783~7779.94978
Answer:
The missing digit is 8
Step-by-step explanation:
An educated guess, but i'm pretty sure it's right
Tom makes a 8% commission on the sale of all the cars that he sells. He sells $140,000 worth of cars this month. What is the commission for the month?
Answer:
$11,200
Step-by-step explanation:
Just multiply the percent times the total
8% * 140000 = .08 * 140000 = 11200
Please help me ASAP!!!
Answer:
x = 25
Step-by-step explanation:
The two angles form a straight line which is 180 degrees
2x+10 + 4x+20 = 180
Combine like terms
6x+30 = 180
Subtract 30 from each side
6x+30-30 = 180-30
6x = 150
Divide by 6
6x/6 = 150/6
x=25
The radius of a circle is 1 millimeter. What is the circle’s circumference?
Step-by-step explanation:
Circumference is
2 x pi x r
r= 1
plug and chug
The surface areas of the two solids shown above are equal.
A. True
B. False
Answer:
True.
Step-by-step explanation:
first solid
A=72
second solid
A= 72
Answer:
True
Step-by-step explanation:
Both the surface areas = 72.
The braking distance (dm) of a car is directly
proportional to the square of its speed (v m/s)
When the speed of the car is increased by
50%, what is the percentage change in its
braking distance?
Answer:
Step-by-step explanation:
We can assign variables as:
d = original breaking distance
b = original speed of the vehicle
d′ = increased breaking distance
b′ = increased speed of the vehicle
We can look at it this way, originally it was like this:
d=kb2
Now, if we increase the speed to b’ which 200% more than b, we will have
d′=k(b′)2
d′=k(b+2b)2
d′=k(3b)2
d′=9kb2
Obtaining the difference between d and d’, we have
d′−d=9kb2−kb2
d′−d=8kb2
in terms of d
d′−d=8(kb2)
d′−d=8d
Adding d on both sides of the equation,
d′=d+8d
Which means the original breaking distance is increased by 800%. This is similar to the phrase “the speed of the vehicle is increased by 200%” which translates to “b + 2b”.
Hope this answer helps you :)
Have a great day
Mark brainliest
There is a 100% increase in the braking distance after 50% increase in speed.
What is speed?A body is said to be of speed v m/s if it travels v meter per second.
How to solve it?The braking distance of a car is directly proportional to the velocity of its speed(v m/s)
When the speed of the car is increased by 50% then the speed of the car v m/s becomes (3v/2) m/s.
The braking distance of a car is directly proportional to the square of its speed hence, the braking distance becomes
v²c where c is some constant.
So, the braking distance after 50% of the car speed is increased becomes (3v/2)²c₁, where c₁ is some constant.
Hence, the percentage change in the car's braking distance is
[tex]\frac{\frac{9}{4}-\frac{3}{2}}{\frac{3}{2}}[/tex]
[tex]=\frac{\frac{9-6}{4}}{\frac{3}{2}}\\=1[/tex]
That means there is a 100% increase in the braking distance after 50% increase in speed.
Learn more about speed here-
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Help!
Best answer brailiest.
Answer:
4
Step-by-step explanation:
4 * 2=8. Don't really know how else to explain it
Which of the following values of t will result in a true statement when substituted into the given equation?
1/2 t - 4 (2 + t) = 20
A. t = 8
B. t = -8
C. t = 11
D. t = -12
Answer: t=-8
Step-by-step explanation:
1/2t-4(2+t)=20 then multiplied by two so t-16-8t=40 -7t=56 then divide -7 by 56 and you will get your answer t=-8
In another right angle triangle the hypotenuse is 53, and the one of the side lengths is 28. Please find the missing side length.
Answer:45
Step-by-step explanation:
This is the pythagorean theroem. So you would have sides a, b, and c, of the triangle.
[tex]a^{2}+b^{2}=c^{2} so\\c^{2}-b^{2}=a^{2} \\53^{2}-28^{2}=a^{2} \\a^{2}=2025\\a= \sqrt{2025} =45[/tex]
Answer:
The answer is 45
Step-by-step explanation:
Ina two digit number, the units digit is twice the tens digit. If the number is doubled, it will be 9 more than the number reversed. Find the number
9514 1404 393
Answer:
36
Step-by-step explanation:
Let the digits of the number be represented by t for the tens digit and u for the units digit.
u = 2t . . . . . . . . the units digit is twice the tens digit
2(10t +u) = (10u +t) +9 . . . . . double the number is 9 more than its reverse
Substituting for u, we have ...
2(10t +2t) = 10(2t) +t +9
24t = 21t +9 . . . . . . . . . . . collect terms
3t = 9 . . . . . . . . . . . . . subtract 21t
t = 3 . . . . . . . . . . . divide by 3
u = 2t = 6 . . . . find u
The number is 36.
subtract w from 8 in algebric expression will be
Answer:
Step-by-step explanation:
according to the question ur algebraic expression is
8-w
The algebric function will be 8-w
Solve the triangle. Round your answers to the nearest tenth. Law of sines 6 A. M∠C=34 m ∠ C = 34 , b=25 b = 25 , c=16 c = 16 B. M∠C=34 m ∠ C = 34 , b=25 b = 25 , c=17 c = 17 C. M∠C=34 m ∠ C = 34 , b=22 b = 22 , c=17 c = 17 D. M∠C=34 m ∠ C = 34 , b=27.9 b = 27.9 , c=16 c = 16
Answer:
[tex]A = 43.0^o[/tex]
[tex]B = 55.0^o[/tex]
[tex]BC = 20.0[/tex]
Step-by-step explanation:
I will solve this question with the attached triangle
From the attachment, we have:
[tex]\angle C =82^o[/tex]
[tex]AB = 29[/tex]
[tex]AC = 24[/tex]
Required
Solve the triangle
First, we calculate [tex]\angle B[/tex] using sine law:
[tex]\frac{AC}{\sin(B)} = \frac{AB}{\sin(C)}[/tex]
This gives:
[tex]\frac{24}{\sin(B)} = \frac{29}{\sin(82^o)}[/tex]
[tex]\frac{24}{\sin(B)} = \frac{29}{0.9903}[/tex]
Cross multiply
[tex]\sin(B) * 29 = 24 * 0.9903[/tex]
[tex]\sin(B) * 29 = 23.7672[/tex]
Divide both sides by 29
[tex]\sin(B) = 0.8196[/tex]
Take arcsin of both sides
[tex]B = \sin^{-1}(0.8196)[/tex]
[tex]B = 55.0^o[/tex]
Next, calculate [tex]\angle A[/tex] using:
[tex]A + B + C = 180^o[/tex] --- angles in a triangle
[tex]A + 55^o + 82^o = 180^o[/tex]
Collect like terms
[tex]A = 180^o-55.0^o - 82^o[/tex]
[tex]A = 43.0^o[/tex]
Next, calculate BC using sine laws
[tex]\frac{BC}{\sin(A)} = \frac{AB}{\sin(C)}[/tex]
This gives:
[tex]\frac{BC}{\sin(43.0)} = \frac{29}{\sin(82)}[/tex]
[tex]\frac{BC}{0.6820} = \frac{29}{0.9903}[/tex]
Make BC the subject
[tex]BC = \frac{29*0.6820}{0.9903}[/tex]
[tex]BC = 20.0[/tex]
if 30% of the total army troop are officers and 280 are soldiers.find the number of officer.
Answer:
400 total .... 120 officers
Step-by-step explanation:
.7 X = 280
x=400
Answer:
30% of 280 is 84.
What I did to find the answer was multiply 280 by 3 then divide by 10.
I checked it with a calculator and got the same result being 84.
In the diagram, MN is tangent to K at M, NP is tangent to K at P, MN = 128 and NP = 2x + 70. Find x
SHOW YOUR WORK
Answer:
A
Step-by-step explanation:
Tangents that are both tangent to a same point equal each other. sk
[tex]2x + 70 = 128[/tex]
[tex]2x = 58[/tex]
[tex]x = 29[/tex]
Please help with khan academy!
Answer:
Let's imagine the image of the zoo.
The diameter is basically the length of the circle.
The penguin swam the radius.
To find the radius, we need to divide the diameter by 2.
The diameter is 20 meters.
20 [tex]\div[/tex] 2 = 10 meters.
2 x pi x 10 = 62.83185307
62.83185307/2 = 31.41592654
Answer = 31.41592654
Answer:
The distance through which penguin swim = 10π meters
Step-by-step explanation:
The island is given to be in a shape of circle and the distance around any circle is known as circumference.
The diameter of the island = 20 meters
So, to find the distance traveled by penguin we need to find the circumference or the circular island.
⇒ Circumference = π·diameter
⇒ Circumference = π × 20
= 20π meters
Now, it is given that the penguin only travels the half of the island So, the distance traveled by penguin is half the circumference of the island.
Distance traveled by penguin = 1/2 × 20π = 10π
The distance through which penguin swim = 10π meters
Um terreno retangular possui o comprimento cinco vezes maior que a largura. Sabendo que o perímetro desse terreno é igual a 180 metros, a largura e o comprimento medem, respectivamente: * 30 m e 150 m 75 m e 15 m 15 m e 75 m 150 m e 30 m 90 m e 90 m
Responder:
15 m e 75 m
Explicação passo a passo:
Deixar :
Largura = x
Comprimento = 5x
Perímetro = 180
Já o terreno tem uma forma retangular; usamos a relação;
Perímetro = 2 (comprimento + largura)
180 = 2 (5x + x)
180 = 2 (6x)
180 = 12x
180/12 = x
15 = x
Largura = x = 15 metros
Comprimento = 5x = 15 * 5 = 75 metros
Medida de largura e comprimento, respectivamente:
15 m e 75 m
What is the centimeters?
Please help me with this question I will give 20 points
Answer:
Step-by-step explanation:
Find the measurements of ZBOC.
A
5xº
A
B
(2x+20)°
C
O ZBOC= 40
O ZBOC = 10
O ZBOC= 50°
O ZBOC= 90°
Answer:
∠ BOC = 40°
Step-by-step explanation:
∠ AOC = 90° , then
5x + 2x + 20 = 90
7x + 20 = 90 ( subtract 20 from both sides )
7x = 70 ( divide both sides by 7 )
x = 10
Then
∠ BOC = 2x + 20 = 2(10) + 20 = 20 + 20 = 40°
why in math, whenever you do an explanation, for example, 2x - 20, the subtraction sign make the 20 a negative number?
Answer:
The negative sign is put before numbers to make them negative, or make their signs the opposite of what the are.
You have a 20.
+ 20
You don't need to put the + there if there is nothing before it, but that is a positive 20.
If you put a negative in front of it;
- (+ 20) = - 20
If you have a negative in front of parenthesis;
50 - (2x - 20)
50 - 2x + 20
70 - 2x