Answer:
101
Step-by-step explanation:
According to the Law of Cosines, for any △ABC with side lengths a, b, and c, a2=b2+c2−2bccosA; b2=a2+c2−2accosB; and c2=a2+b2−2abcosC
.
The Law of Cosines can be used because all three side lentghs are known.
Set up the equation for the Law of Cosines:
a2=b2+c2−2bccosA
Substitute the known values into the Law of Cosines:
312=222+182−2(22)(18)cosA
Square the values and multiply:
961=484+324−792cosA
Add:
961=808−792cosA
Subtract 808
from both sides:
153=−792cosA
Divide both sides by −792
:
153−792=cosA
According to this equation m∠A
is equal to the inverse cosine function of −153792
. Write this:
m∠A=cos−1(−153792)
Calculate the value of the inverse cosine −153792
on a calculator:
m∠A≈101°
Therefore, m∠A≈101°
.
Answer:
101
Step-by-step explanation:
calculate using the law of cosines
hope that helps!
Marcia drew a quadrilateral with two pairs of parallel sides, four congruent
side lengths, and no right angles. Marcia's quadrilateral can be described as
a ?
Answer: rhombus but no a square
Step-by-step explanation:
Round 45.628 to the nearest tenth.
Answer:
Step-by-step explanation:
45.6
2a2 + 3b2 + a2 + b2
Answer:
Solution given:
2a2 + 3b2 + a2 + b2
adding like terms
2a²+a²+3b²+b²
3a²+4b² is a required answer.
What is the graph of y = x2 + 6x + 13 ?
What does the graph look like
Answer:
If I entered it in correctly it would look something like this,,
A camera shop purchases a camera for $56.98 and sells it for $102.56. What is the percent of markup?
180%
120%
80%
20%
Answer:
180%
Step-by-step explanation:
Set up an equation:
Variable x = percent of markup
102.56/56.98 = x/100
Cross multiply
102.56 × 100 = 56.98 × x
10,256 = 56.98x
Divide both sides by 56.98:
179.99297.... = x
Round to nearest whole number:
180 = x
Check your work:
56.98 × 180%
Convert the percentage into a decimal:
56.98 × 1.80
102.564
Round to nearest cent:
102.56
Correct!
what is 2/3 of 1/2
WILL MARK AS BRAINLIEST
Answer:
1/3
Step-by-step explanation:
2/3*1/2 =1/3
Find an equivalent ratio in simplest terms: 22:12 22:12
Answer:
11:6
Step-by-step explanation:
hope this helps :)
Write an equation of a line with the given slope and y-intercept. slope: - 13 y-intercept: –1
Answer:
y = -13x - 1
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Identify variables
Slope m = -13
y-intercept b = -1
Step 2: Find Equation
Substitute in variables [Slope-Intercept Form]: y = -13x + -1Simplify: y = -13x - 12. It takes Samuel 5 hour to walk a mile.
Yesterday, Samuel walked for 13 hours.
Write a multiplication equation that can
be used to find the number of miles
Samuel walked. (Example 1)
Answer:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
13/5
Decimal Form:
2.6
Mixed Number Form:
2 3/5
Step-by-step explanation:
solve 3x-y=7 for x if weird answer will report
Answer:
x = 1/3y +7/3
Step-by-step explanation:
3x-y=7
Add y to each side
3x-y+y=7+y
3x = y+7
Divide each side by 3
3x/3 = y/3 + 7/3
x = 1/3y +7/3
Answer:
x= 7/3 + y/3
Step-by-step explanation:
divide each term by 3 and simplify
Please help A.S.A.P its due today!
Answer: Ok Here you go.
Step-by-step explanation:
24-(5-9+18)÷7 (step by step explanation do fastttt)
Am stunned on how you can't do 5th grade math and you appear in High School... But I'll help
According to PEMDAS (Parenthesis, Exponents, Multiplication/Division, and Addition/Subtraction) you wanna do 5-9+18 first. That gives you 14. After 14, you do 14/7 which gives you 2. And finally, you do 24 - 2 which gives you 22.
Dorian buys one 32-ounce can of purple paint witha red to blue ratio of 3 to 5. He buys a 25-ouncee can of a different shade of purple paintwith a red to blue ratio of 3 to 2. Dorian mixes the two cans together. What is the ratioof red paint to blue paint in Dorian's new mixture?
Answer:
9 : 10
Step-by-step explanation:
For 32 ounce- can
Dorian buys one 32-ounce can of purple paint with a red to blue ratio of 3 to 5.
The sum of proportion = 3 + 5 = 8
The number of ounces of red paint = 3/8 × 32-ounce = 12 ounces
The number of ounces of blue paint = 5/8 × 32-ounce = 20 ounces
For 25 ounce can
He buys a 25-ounce can of a different shade of purple paint with a red to blue ratio of 3 to 2.
The sum of proportion = 3 + 2 = 5
The number of ounces of red paint = 3/5 × 25-ounce = 15 ounces
The number of ounces of blue paint = 2/5 × 25-ounce = 10 ounces
Dorian mixes the two cans together.
The total ounces for red paint
= 12 ounces + 15 ounces = 27 ounces
The total ounces for blue paint
= 20 ounces + 10 ounces = 30 ounces
Hence, the ratio of red paint to blue paint in Dorian's new mixture is
Red : Blue
27 ounces : 30 ounces
9 : 10
Solve the system of equations.
Answer:
x = 2, y = 1
Step-by-step explanation:
x + 3y = 5
3y = -x + 5
y = -1/3x + 5/3
-x + 6y = 4
-x + 6(-1/3x + 5/3) = 4
-x - 2x + 10 = 4
-3x = -6
x = 2
x + 3y = 5
2 + 3y = 5
3y = 3
y = 1
What is the wall height for H??
Answer:
Step-by-step explanation:
Side "h" ( wall height ) is 35
The height of the wall "h".
Solution:-[tex]{\boxed{\mathcal{\red{The\:height\:of\:the\:wall\:"h"\:is\:35.71\:ft.}}}}[/tex]
Step-by-step explanation:[tex]\sf\purple{Using\:Pythagoras \:theorem, \:we\:have}[/tex]
[tex]( {Perpendicular})^{2} + ( {Base})^{2} = ( {Hypotenuse})^{2} \\ ➡ \: {h}^{2} + ({35 \: ft})^{2} = ({50 \: ft})^{2} \\ ➡ \: {h}^{2} + 1225 \: {ft}^{2} = 2500 \: {ft}^{2} \\ ➡ \: {h}^{2} = 2500 {ft}^{2} - 1225 \: {ft}^{2} \\ ➡ \: {h}^{2} = 1275 \: {ft}^{2} \\ ➡ \: h \: = \sqrt{1275 \: {ft}^{2} } \\ ➡ \: h = 35.707\: ft \: \\ ➡ \: h = 35.71\: ft[/tex]
[tex]\sf\red{Therefore\:the\:height\:of\:the\:wall\:"h"\:is\:35.71\:ft.}[/tex]
To verify :-[tex]( {35.71 \: ft})^{2} + ( {35 \: ft})^{2} = ({50 \: ft})^{2} \\ ✒ \: 1275 \: {ft}^{2} + 1225 \: {ft}^{2} \: = 2500 \: {ft}^{2} \\ ✒ \: 2500 \: {ft}^{2} = 2500 \: {ft}^{2} \\ ✒ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
the sum of two rational numbers is -5 if one of the number is -13/6 find the other number
Answer:
[tex]Let \ the \ number \ be = x\\sum \ of \ 2 \ rational \ numbers = -5\\\\x + \frac{-13}{6} = -5\\\\x - \frac{13}{6} = -5\\\\[/tex]
[tex]x = -5 + \frac{13}{6} = \frac{-30 + 13}{6} = -\frac{17}{6}[/tex]
The other rational number = -17/6
======================================================
Work Shown:
A = first rational number = -13/6B = second rational number = unknownA+B = -5 ... since the sum of both is -5
B = -5-A
B = -5-(-13/6)
B = -5+13/6
B = -30/6 + 13/6
B = (-30+13)/6
B = -17/6 is the answer
---------------
Extra info:
This improper fraction converts to the mixed number -2 & 5/6
In decimal form, it's approximately equal to -17/6 = -2.833
If on a triangle, angle A is 5x, B is 4X, and C is
3x, what is the measurement for each angle.
Answer:
A=75, B=60, C=45
Step-by-step explanation:
5x+4x+3x=180
12x=180
x=15
plug them in and get
A=5(15)=75
B=4(15)=60
C=3(15)=45
If Jayna's shuffler is working properly and randomizing the playlist after each song, what is the probability of playing a slow song?
ANSWER IS 33.33%
Answer:
1 song is a slow song, 2 songs are not
Step-by-step explanation:
that would give you 1/3 probability = 33.3333333333333%
Determine the value of x in the diagram.
7 2/3-(1 2/4+3 6/8) PLS TELL ME THE RIGHT ANSWER!!!!!!!!
Answer:
The answer should be 29/12 or 2 5/12
Giselle pays $2.70 for 10 pounds of apples at the farmer's market. Torrey pays $4.05 for 15 pounds of apples at the farmer's market. What is the unit cost for apples at the farmer's market?
sry Not an answer But did you ever get the answer??
Answer: 0.27
Step-by-step explanation:
If you multiply .27 by 10 $2.70 comes up. And if you multiply .27 by 15 $4.05 comes up
Someone please help I'm horrible at math :(
Answer:
6
Step-by-step explanation:
The verticle line in the box is the median
Find the area of the shaded sector
Which of the following is a secant on the circle below?
V
s
R 120
120°
T
O A. SU
B. RT
C. SU
D. UT
helpp someonee
Answer:
A and B
Step-by-step explanation:
A secant is a line which intersects a circle at 2 points
SU and RT both intersect the circle at 2 points and are secants
Answer:its SU
Step-by-step explanation:
ITS THE ONLY CORRECT ANSWER YALL
A cylinder whose height is 5 meters has a volume of 320π cubic meters find the radius of the cylinder A.8m b.12.8m c.64m d.201m
Type the correct answer in the box. Round your answer to the thousandth place.
The board of directors of a company knows that the probability that carbon emissions from the company’s factory exceed the permissible level is 35%. They hire a consultant who uses a carbon footprint calculator to test the emissions level. The accuracy of the test is 85%.
The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is
.
Answer:
The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place)
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Probability that carbon emissions from the company’s factory exceed the permissible level = 35% = 0.35
Accuracy of the test of emissions level = 85% = 0.85
2. The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is?
These two events, carbon emissions from the company’s factory and the accuracy of the test are independent events, therefore:
Probability that carbon emissions from the factory are within the permissible level = 1 - 0.35 = 0.65
Probability that the test predicts the opposite to be true = 0..35 * 0.85 = 0.2975 (The opposite is that the carbon emissions from the company exceed the permissible level)
Probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is:
0.65 * 0.2975 = 0.193375
The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place
MARK BRAINLIEST PLS
The function f(x) is graphed below. what is f(1)?
Answer:
f(1) = - 3
Step-by-step explanation:
Locate x = 1 on the x - axis, then go vertically down to (1, - 3 ) , then
f(1) = - 3
What is the following product of the cube root of 16 X to the seventh times the cube root of 12 X to the ninth
Answer:
7
Step-by-step explanation:
hi I don't know what to do
u don’t have to explain
Answer:
6
Step-by-step explanation:
RQ=x
x/9=4/6
x=(9*4)/6
x=6
how do you find the diameter for 10
Answer:
fxigxitxiyxiyxigxitxitxoyc9ycitxoy
Step-by-step explanation:
xoyxitxitx9yc9yxigx9yx9yxogxigx8tx8t
Answer:
Step-by-step explanation:
If the circumference of the circle is 10 cm, then the diameter is 10 cm/π, or 3.18 cm. If you know the area of the circle, divide the result by π and find its square root to get the radius; then multiply by 2 to get the diameter.