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°
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:
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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?
Simplify this expression
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
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
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
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.
-7x + 3 = x + 11
what is x
Answer: x=-1
Step-by-step explanation: hope this helps!
is 3399 a rational number
what is the slope for the graph y - 4x =-2 ?
Answer:
4.000
Step-by-step explanation:
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.
please answer my question
Answer:
dogs and birds..........
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
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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).
Can u help me with my math
Answer:
B=310 because..well just do the math.
Step-by-step explanation:
Help help help help !
Answer:Its D
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:
PLEASE HELP DUE IN 10 MINTUES SDJKFHKJSHDH
the 2nd answer makes the most since
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
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
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
6
Express in exponential form.
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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]
[tex]\frac{1}{2} w -5\ \textless \ -2[/tex]
On 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
In which group on the Periodic Table does the atom pictured belong?
A)
4
B)
6
16
D
14
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
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:
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