Given:
In a right angle triangle ABC, [tex]m\angle B=90^\circ, BC=x, AC=11, m\angle C=41^\circ[/tex].
To find:
The value of x to the nearest tenth.
Solution:
In a right angle triangle,
[tex]\cos\theta =\dfrac{Adjacent}{Hypotenuse}[/tex]
In the given right angle triangle ABC,
[tex]\cos \angle C =\dfrac{BC}{AC}[/tex]
[tex]\cos (41^\circ) =\dfrac{x}{11}[/tex]
[tex]11(0.7547) =x[/tex]
[tex]8.3017 =x[/tex]
Round the answer to the nearest tenth.
[tex]x\approx 8.3[/tex]
Therefore, the value of x is 8.3 units.
find the distance between (3,7) and (8,7)
Answer:
5
Step-by-step explanation:
d = 5
For:
(X1, Y1) = (3, 7)
(X2, Y2) = (8, 7)
Distance Equation Solution:
d=(8−3)2+(7−7)2−−−−−−−−−−−−−−−√d=(8−3)2+(7−7)2
d=(5)2+(0)2−−−−−−−−−√d=(5)2+(0)2
d=25+0−−−−−√d=25+0
d=2–√5d=25
d=5
Answer:
5 units
Step-by-step explanation:
It is 5 units because when you plot (3,7) you have to move 5 units to the right.
Consider points A(-4,3) and B(-1, 2) use the criterion for perpendicular to find the equation of the line that passes through A and is perpendicular to AB
Answer:
N/A NO DIAGRAM
N/A NO DIAGRAM
Step-by-step explanation:
N/A NO DIAGRAM
N/A NO DIAGRAM
A triangle has sides with lengths of 20 meters, 21 meters, and 29 meters. Is it a right triangle?
Answer:
Yes, the sides form a right triangle.
Step-by-step explanation:
Pythagorean Theorem:
a² + b² = c²
↓
20² + 21² = 29²
║a² = 20² = 400
║b² = 21² = 441
║c² = 29² = 841
↓
400 + 441 = 841
║This equation is true.
↓
Yes, the sides form a right triangle.
Please help ASAP due 9:20, will give brainliest
Answer:
1) 1,095
Step-by-step explanation:
[tex]a^{2} +1300^{2} =1700^{2} \\ a^{2} =1700^{2} -1300^{2} \\ =2890000-1690000\\ =1200000[/tex]
[tex]a^{2} =1200000\\ a=\sqrt{1200000} \\ a=1095.4451[/tex]
round to 1,095
Answer:
The answer is 1
Step-by-step explanation:
[tex]a =\sqrt{c^{2} - {b^{2 } \\[/tex]
[tex]a = \sqrt{1700^2 - 1300^2}[/tex]
[tex]a = \sqrt{2890000 - 1690000}[/tex]
[tex]a = \sqrt{1200000}[/tex]
[tex]a = 1095.4451150103[/tex]
Mackenzie invested $5,200 in an account paying an interest rate of 4\tfrac{1}{8}4 8 1 % compounded monthly. Justin invested $5,200 in an account paying an interest rate of 4\tfrac{3}{4}4 4 3 % compounded continuously. After 20 years, how much more money would Justin have in his account than Mackenzie, to the nearest do.llar?
Answer:
1597
Step-by-step explanation:
Please help, due soon. Use the information provided to write the standard form equation of each circle
Answer:
D
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( where r is the radius ) , then
x² + y² = ([tex]\sqrt{249}[/tex] )² , that is
x² + y² = 249 → D
Question 1 (2 points) (07.01) Which of the following shows 9xy - 4x + 3yx - 2y written in standard form? (2 points)
please help mee
Answer:
12xy - 4x - 2y
Step-by-step explanation:
9xy - 4x + 3yx - 2y
3yx can be written as 3xy so we have:
12xy - 4x - 2y
5 tons of fertilizer cost $14,100.00. What is the price per pound?
Answer:
$2,820
Step-by-step explanation:
$14,100.00 / 5= $2,820
PLEASE HELP ME ILL GIVE BRAINLIEST
Select the correc answer. Consider function g. 5+2 What is the average rate of change of function g over the interval [-4, 3]
OA. 1/2
OB. -7/2
OC. -1/2
OD. 2
Simplify: (p+10)(p+10)
Answer:
The answer should be either 2(p+10) or 2p + 20
Step-by-step explanation:
just simplify.
Answer:
p^2 +20p+100
Step-by-step explanation:
Use Foil Method
First: p*p=p^2
Outside: 10*p=10p
Inside: 10*p= 10p
Last: 10*10= 100
Simplify p^2+10p +10p +100
ANSWER: p^2 +20p+100
Factor the difference of two cubes
8v^3-27
i’ll give brainliest
Answer:
[tex]8v^{3} +27=(2v)^{3} +3^{3}=(2v+3)(4v^{2} -6v+9)\\[/tex]
Step-by-step explanation:
from formula a³ – b³ = (a – b) (a² + ab + b² )
Find the area of the rectangle on this centimetre grid.
Answer:
Step-by-step explanation:
I think this question is not clear.
If you could explain/upload the centimeter grid it'd be explain.
But generally, what you should do is: calculate the number of centimeters on the longer side (length (l)) and note that, now calculate the number of centimeters on the shorter side (breadth(b)).
Use the formula, Area of a rectangle = l×b to solve your math problem
Plz help me ASAP
(x+2)^2+1=50
this is solving quadratic functions by square roots
Answer:
x = -9 and x = 5
Step-by-step explanation:
[tex] {(x + 2)}^{2} + 1 = 50[/tex]
[tex] = {x}^{2} + 4x + 4 + 1 = 50[/tex]
[tex] = {x}^{2} + 4x + 5 = 50[/tex]
[tex] = {x}^{2} + 4x + 5 - 50 = 0[/tex]
[tex] = {x}^{2} + 9x - 5x - 45 = 0[/tex]
[tex] = x \times (x + 9) - 5(x + 9) = 0[/tex]
[tex] = (x + 9) \times (x - 5) = 0[/tex]
[tex] = x + 9 = 0[/tex]
[tex] x - 5 = 0[/tex]
[tex] = x = - 9[/tex]
[tex]x = 5[/tex]
1. if m<b = 60 what is AB
2. if m<b =45 what is the perimeter of the trapezoid.
Answer:....
Step-by-step explanation:
first we need to find the base of the triangle, so the total is 20, they also give us 12, so we subtract 20-12=8 now divide. 8/2=4. Now we use the 4 and the 60. We use SOH-CAH-TOA, they give us the base now we need to find AB which is the hypotenuse. So we take out the TOA, and the 4 is the adjacent so we take out the SOH, we have CAH now, so we use cos. Now equation time....
[tex]cos60=\frac{4}{x}[/tex] since x is the bottom we switch [tex]\frac{4}{cos60}[/tex], which equals 8. AB=8.
Now to find the perimeter. We still use the 4 to find the hypotenuse so we can find the outside side. For this one they tell us to use 45, so now lets see what method we use. SOH-CAH-TOA. We need the hypotenuse and they give us the adjacent, so we use cos again. Now setting up the equation...
[tex]cos45=\frac{4}{x}[/tex] x is at the bottom again to we switch.
[tex]\frac{4}{cos45}[/tex] which equals to 5.657 or you can round it. Now we add everything.
20+12+5.657+5.657= 45.314 or you can round it to 45.
Is the geometric mean of 6 and 8 4 times the square root of 3?
Answer:
9.798
Step-by-step explanation:
The geometric mean is 9.798 as the square root of 8 times 12. Scroll down to related links and look for more on "geometric mean".
Khan academy again, please help
Answer:
32
Step-by-step explanation:
lol what it's the same exact question again
6 x 10 = 60
60 - 2 - 6 - 20 = 32
i need help with this question pleasee
Answer:
A)
this is a corect answer for this question:)
Given g(x)=3x+5g(x)=3x+5, find g(-6)g(−6).
Answer:
Step-by-step explanation:
hello :
g(x)=3x+5
g(−6).=3(-6) +5 = -18+5 = -13
Please help asap I need this
Answer:
y= x+4
y=–4–2x
Step-by-step explanation:
using the formula (x–x1)/(x1–x2)= (y–y1)/(y1–y2)
The sum of two numbers is 24. The second number minus the first number equals 2.
Let x represent the first number. Let y represent the second number.
Write a system of equations to represent the situation.
First sentence: First Equation:
Second Sentence: Second Equation:
*Do not include spaces in your equations.
Part 2: Find the numbers. ( , )
Answer:
(11, 13)
Step-by-step explanation:
First Equation: x+y=24
Second Equation: y=x+2
x + (x + 2) = 24
2x + 2 - 2 = 24 - 2
2x/2 = 22/2
x = 11
y = (11) + 2
y = 13
Therefore, the solution to the system is (11, 13)
. During a sale, the price of a computer is reduced by $118 from the original price $590. By what percentage is the price of the computer reduced by? a 25% b. 69% C. 20% d. 75%
Answer:
C. 20%
Step-by-step explanation:
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answer:
-15u²
Step-by-step explanation:
[tex]-(4+11)u^{2} \\-15u^{2}[/tex]
same exponent so it can be added together
help me please!:(
this is geometry
Answer:
23.9cm^3
Step-by-step explanation:
Find the area of the shaded region to the nearest tenth.
Answer:
Shaded region is 18.3 units²
Step-by-step explanation:
First find the area of the white triangle. The base and height of this triangle are both 8. Thus, the area of the triangle is (1/2)(base)(height), or 32 units.
Next, find the area of the whole circle. It is πr², which in this case comes
out to π(8 units)² = 64π units². Realize that (1/4) of this, or 16π units², is the area of the quarter circle that contains the triangle.
To find the shaded area, take the area of the quarter circle (16 π units²) and subtract the area of the triangle (32 units²).
16π units² - 32 units² = 18.3 units²
Shaded region is 18.3 units²
Find the product of 0.25 x 16
Answer:
4 is the answer
0.25*16 = 4
Step-by-step explanation:
product means multiplication..
what grade level is this?
Have a nice day!
How much of a radioactive kind of lanthanum will be left after 120 hours if you start with 160
grams and the half-life is 40 hours?
Answer:
20 grams should be correct
Step-by-step explanation:
What is the range of the following relation?
Oxso
all real numbers
Answer:
Step-by-step explanation:
Giving brainlist to whoever answers
Answer:
420
Step-by-step explanation:
volume = length x width x height
12 x 5 x 7 = 420
An airplane's altitude in feet during its descent can be found using the equation y=-150x + 30,500. After new government regulations become law, the descent isnow modeled by the equation y=-150x + 30,000. Which statement describes this change?
The airplane starts its descent from an altitude 500 feet lower.
The airplane descends 500 feet per horizontal mile slower.
The airplane descends 500 feet per horizontal mile faster.
The airplane starts its descent from an altitude of 500 feet.
Answer:
The airplane would starts its descent from an altitude 500 feet lower.
Step-by-step explanation:
The x-axis is horizontal and the y-axis is vertical (altitude). It would be 500 feet lower because they took 500 away from the 30,000.
Which part of the human body is more complex, your heart or your circulatory system?
→heart is central to the circulatory system as it is the fist-sized pump that circulates the blood throughout the body.