Solve the triangle. Round side lengths to the nearest tenth and angle measures to the nearest degree.
Answer:
b = 13.8
A = 45°
C = 35°
Step-by-step explanation:
Given:
m<B = 100°
a = 10
c = 8
Required:
b, m<C, and m<A
✔️Find b using Cosine Rule:
b² = a² + c² - 2*ac*Cos(B)
Plug in the values
b² = 10² + 8² - 2*10*8*Cos(100)
b² = 164 - (-27.7837085)
b² = 191.783709
Take the square root of both sides
b = 13.8 (nearest tenth)
✔️Find m<C using Sine rule:
[tex] \frac{Sin(C)}{c} = \frac{Sin(B)}{b} [/tex]
Plug in the values
[tex] \frac{Sin(C)}{8} = \frac{Sin(100)}{13.8} [/tex]
Multiply both sides by 8
[tex] \frac{Sin(C)}{8} \times 8 = \frac{Sin(100)}{13.8} \times 8 [/tex]
[tex] Sin(C) = \frac{Sin(100) \times 8}{13.8} [/tex]
[tex] Sin(C) = 0.5709 [/tex]
[tex] C = Sin^{-1}(0.5709) [/tex]
[tex] C = 35 [/tex] (nearest degree)
m<C = 35°
✔️m<A = 180 - (100 + 35) (sum of triangle)
m<A = 180 - 135
m<A = 45°
PLEASE HELP ASAP!!!!!!!!
Given the exponential function f(x) = 60(1.07)x, classify the function as exponential growth or decay and determine the percent rate of growth or decay.
Exponential growth, 60% increase
Exponential growth, 7% increase
Exponential decay, 7% decrease
Exponential decay, 60% decrease
Answer:
3rd
Step-by-step explanation:
Answer:
Exponential decay, 7% decrease
Step-by-step explanation:
what is 2%= in simplest form
Answer:
.50
Step-by-step explanation:
that's it in a decimal form
Answer:
0.02
Step-by-step explanation:
-7x + 3 = x + 11
what is x
Answer: x=-1
Step-by-step explanation: hope this helps!
please answer my question
Answer:
dogs and birds..........
is 3399 a rational number
8 4/5 ÷ 4 = ?
The principal is equally distributing 8 4/5 cakes on 4 tables for a school party. How many cakes are on each table?
Answer:
Step-by-step explanation:
8 4/5 divided by 4= 2.2
The lengths of 2 sides of a triangle are 26 and 48. What is the range of possible side lengths for the 3rd side of the triangle?
Answer:
16
Step-by-step explanation:
If you add the 26 and 48 you get 74 and then you subtract 74 from 90 since your total needs to be 90 and get your answer of 16
Find h. (system of equations)
Step-by-step explanation:
xtan45° = (x+600)tan30°
x(tan45°-tan30°) = 600tan30°
x = 819.62m.
Therefore h = xtan45° = x = 819.62m.
4÷5679 please paki answer
Answer:
4÷5679= 0.000704349357
but i think u want
5679÷ 4 = 1,419.75
Answer:
0.0007(approximately)
Step-by-step explanation:
Angela uses a scanner to make a reduced-size (smaller) copy of a rectangular photo that is 8 inches long and 4 inches wide. The new length is 4 inches. What is its new width?
Answer:
The new width = 2 inches
Step-by-step explanation:
Original dimensions of the rectangular photo:
Length : width = 8 inches : 4 inches
Reduced dimensions of the rectangular photo:
Let
x = the new width
Length : width = 4 inches : x inches
Equate both dimensions to get the value of x
Length : width
8 inches : 4 inches = 4 inches : x inches
8 / 4 = 4 / x
Cross product
8 * x = 4 * 4
8x = 16
x = 16/8
x = 2 inches
The new width = 2 inches
help ! question 6 . I’ll give brain.
Answer:
B
Step-by-step explanation:
Answer:
I think its B
Step-by-step explanation:
put me as brainliest
what is the slope for the graph y - 4x =-2 ?
Answer:
4.000
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is 6x+4y=-56
The slope of the line perpendicular to the line whose equation is 6x + 4y = - 56 is 2/3.
Two lines with slopes m₁ and m₂ are parallel when m₁ = m₂ and perpendicular when m₁*m₂ = -1.
In the question, we are asked for the slope of the line perpendicular to the line whose equation is 6x + 4y = - 56.
Representing the given equation is the slope-intercept form y = mx + b, we get:
6x + 4y = - 56,
or, 4y = - 6x - 56,
or, y = (-6/4)x + (-56/4),
or, y = (-3/2)x + (-14),
we get the slope, m is (-3/2), and the y-intercept, b is (-14).
Assuming the slope of the required line to be m₁, we know that m₁*m = -1, as the two lines are perpendicular to each other.
Thus, m₁*(-3/2) = -1,
or, m₁ = 2/3.
Thus, the slope of the line perpendicular to the line whose equation is 6x + 4y = - 56 is 2/3.
Learn more about perpendicular lines at
https://brainly.com/question/6710896
#SPJ1
Find the slope of the line that passes through (5,2) and (9,6).
Answer:
1
Step-by-step explanation:
slope m=y2-y1/X2-x1
=6-2/9-5
=4/4= 1
Help please! Write the equation for the line.
Answer:
y=x-3
Step-by-step explanation:
The slope goes up by 1 and the y intercept is -3
In which group on the Periodic Table does the atom pictured belong?
A)
4
B)
6
16
D
14
SOMEONE HELP ASAP PLS!!
Point K lies at (-3,4). Point K is reflected over the y-axis and then translated 7 units down to produce K'. Which rule could have been used to produce K’ from K?
Answer:
K(x,y) →K'(-x, y-7) (B)
Step-by-step explanation:
Write an equation in slope intercept form of the line that passes through the point (-5, -1) with slope -3.
Answer:
y= -3x-16
Step-by-step explanation:
slope intercept form is written as y=mx+b. m is the slope, and b is the y-intercept. -3=m
we know that (-5,-1) is 5 points away from the origin, and that the slope is -3, so 5 times -3 equals -15. subtract 15 from -1 (y-coordinate) in order to get the y-intercept (when x=0).
Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = −8t + 92.
You missed a small portion of the question in the end. If I am not mistaken, I am able to find the complete question which you should have added. Anyways, this would help you clear your concept as I would explain the context.
Here is the complete question:
Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = -8t + 92.
How many minutes would it take the printer to use all 92 sheets of paper?
Answer:
It would take 11.5 minutes for the printer to use all 92 sheets of paper
Step-by-step explanation:
Given:
Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = −8t + 92To determine:
How many minutes would it take the printer to use all 92 sheets of paper?
Given the function
[tex]p(t) = -8t + 92[/tex]
We know that when all the 92 sheets of paper will be printed, there will be no more sheets left to be printed.
Therefore, we need to substitute p(t) = 0 in the given function to determine the value of time in minutes
[tex]0 = -8t + 92[/tex]
[tex]8t = 92[/tex]
Divide both sides by 8
[tex]\frac{8t}{8}=\frac{92}{8}[/tex]
[tex]t=\frac{23}{2}[/tex]
[tex]t = 11.5[/tex] minutes
Therefore, it would take 11.5 minutes for the printer to use all 92 sheets of paperOn a map of Volleytown, a scale of 1 centimeter = 50 kilometers is used. If the actual distance
from Setter Street to Spike Street is 75 kilometers, how far apart should the two streets be on the
map?
Answer:
1km
Step-by-step explanation:
because ur mom gay
Can u help me with my math
Answer:
B=310 because..well just do the math.
Step-by-step explanation:
WILL MARK BRAINLIEST IF CORRECT! PLS HELP
Answer:
[tex]y^{\frac{2}{5}}[/tex]
Step-by-step explanation:
[tex]2 - \frac{4}{5} = \frac{2*5}{1*5}-\frac{4}{5}\\\\ = \frac{10}{5}-\frac{4}{5}\\\\= \frac{6}{5}[/tex]
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\[/tex]
[tex]\sqrt[3]{\frac{y^{2}}{y^{\frac{4}{5}}}} =\sqrt[3]{y^({2-\frac{4}{5})}} \\\\=\sqrt[3]{y^{\frac{6}{5}}}\\\\=(y^{\frac{6}{5}})^{\frac{1}{3}} \\\\=y^{\frac{6}{5}*\frac{1}{3}}\\\\= y^{\frac{2}{5}}[/tex]
pleasee helppp!!!!!! I would be so happy
Abhasra and Perry each improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Abhasra spent $152 on 13 daylilies and 10 bunches of ornamental grass. Perry spent $64 on 1 daylily and 6 bunches of omamental grass. What is the cost of one daylily and the cost of one bunch of ornamental grass?
Devon is saving money for a ski trip. He has already saved $62.50, but his goal is to save at least $100. What is the least amount Devon needs to save to reach his goal? Let m= money:
Answer:
Step-by-step explanation:
You have to divide 100 by 62.50= m answer
[tex]\frac{1}{2} w -5\ \textless \ -2[/tex]
6
Express in exponential form.
I will mark you brainliest
Hayley is considering two gym membership plans. The plans are detailed here.
Plan 1: $50 for a monthly pass and a $3 fee for each gym visit
Plan 2: $10 for each gym visit
What is a system of equations that represents the costs of the plans?
Express your equations in the form y=mx+b where x is the number of gym visits per month and y is the total cost per month.
Help help help help !
Answer:Its D
Step-by-step explanation:
Francis heard that a car radio was on sale for 30% off. If the sale price was $57.75, what was the original price of the raido?
A. $82.50
B. $75.30
Answer
b
step-by-step explanation:
Answer:
a 82.50
Step-by-step explana
82.50
30.00
pluse taxt =3.00
52.50.50
30.00
82 . 50