Answer:
RST is not an equilateral
Step-by-step explanation:
Given
[tex]R = (-2,-2)[/tex]
[tex]S = (1,4)[/tex]
[tex]T = (4,5)[/tex]
Required
Prove or disprove the triangle is equilateral
To do this, we simply calculate the distance between each vertex using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, we have:
[tex]RS = \sqrt{(-2 - 1)^2 + (-2 - 4)^2}[/tex]
[tex]RS = \sqrt{45}[/tex]
[tex]ST = \sqrt{(1 - 4)^2 + (4 - 5)^2}[/tex]
[tex]ST = \sqrt{10}[/tex]
[tex]RS \ne ST[/tex] means the triangle is not an equilateral
Solve the following problem. It may be helpful to use a chart on scrap paper to organize the information and write the equation. Be sure to show all steps (V.E.S.T.) and work in order to receive full credit.
A grocer wants to make a 10-pound mixture of cashews and peanuts that he can sell for $3.29 per pound. If cashews cost $5.60 per pound and peanuts cost $2.30 per pound, how many pounds of each must he mix?
Answer:
If cashews cost $5.60 per pound and peanuts cost $2.30 per pound, how many pounds of each must he mix?
Step-by-step explanation:
Weegy: x + y = 1 (we want one pound total) 5.60 * x + 2.30 * y = 3.29 (we want 3.29 per pound) Answer: x = . 3, y = . 7 per one pound To get 10 pounds: cashews - 10x = 3 pounds, peanuts - 10y = 7 pounds.Please help meee I need this done ASAP
Answer:
4pi/15=θ - i think
Step-by-step explanation:
S = r*θ
r=9
s=12pi/5
12pi/5=9*θ
12pi/45=θ
4pi/15=θ
Type the correct answer in each box. Use numerals instead of words, Simplify the following polynomial expression. (5x2 + 13x – 4) – (17x2 + 7x – 19) + (5x – 7)(3+ + 1)
____ x2 – ____ x + ____
Answer:
La primera es la respuesta la segunda parte es la
Step-by-step explanation:
La que te muestra como va el procedimiento
Answer:
-57x^2-10x+8
Step-by-step explanation:
i just did the test on edmentum
please help :DDDDDDD
Answer:
B 5/6 * -11/-7
Step-by-step explanation:
-5 / -7 = 5/7
-11/-6 = 11/6
Multiply
5/7 * 11/6
Rewriting
5/6 * 11/7
We can make the 11 and the 7 negative (-11/ -7 = 11/7)
5/6 * -11/-7
the koala bear is 21 inches tall. the elephant is 9 times as tall as the koala. How tall is the elephant?
Answer:
189 inches tall
Step-by-step explanation:
In a recent flu epidemic, the number of flu cases increased by 40% each week. There were 3,000 flu cases during the first week of January. How many more people were affected by the flu during the third week of January than during the first week?
1,200
2,880
3,280
4,200
Answer:
Option B
(B) 2880 Hope this helps <3
Step-by-step explanation: the total number of people affected by flu during
the 2nd and 3rd week of January, 1200 + 1680 = 2880
Answer:
1,200
Step-by-step explanation:
40%=.4
(3,000)x(.4)=1,200
1,200 more people were more affected in the third week then the first week
In a right triangle, Sin (4x + 10) º = Cos (6x) º. What is the value of x?
Answer:
Step-by-step explanation:
These angles will be equal when each of them measures 45 degrees. On the unit circle, 45 degrees and reference angles of 45 degrees are the only places where sin and cos are the same. This means that
sin(4x + 10) = 45 and cos(6x) = 45
If we add the angles together (the angles being 4x+10 and 6x) we get a 90 degree angle. Thus,
4x + 10 + 6x = 90 and
10x = 80 so
x = 8. Let's try it out:
sin(4(8) + 10) = sin(42) = .6691306064 and
cos(6(8)) = cos(48) = .6691306064
Yay!!!!!
se
4 Shonda is hanging pictures on a
wall in her home. She has pictures
with areas of 16 square inches and
25 square inches. She hangs a total
of 7 pictures which covers 148
square inches of wall space. Let x be
the number of pictures with an area
of 16 square inches and y be the
number of pictures with an area of
25 square inches.
If P is the incenter of JKL, find m Please show the work, that would be really helpful, thank you!
Answer:
[tex]34^{\circ}[/tex]
Step-by-step explanation:
The incenter of a triangle can be defined as the intersection of three angle bisectors that bisect all angles of the triangle.
By definition, an angle bisector divides an angle into two equal smaller angles.
Therefore:
[tex]\angle KJN=\angle LJN,\\\angle KLM=\angle JLM, \\\angle JKP=\angke LKP[/tex]
What we're given:
[tex]\angle KJN=\angle LJN=30^{\circ}[/tex] [tex]\angle KLM=\angle JLM=26^{\circ}[/tex]The sum of the interior angles of a triangle always add up to be 180 degrees. Since these six angles make up the total sum of the interior angles, we have the following equation:
[tex]\angle KJN+\angle LJN+\angle KLM +\angle KLM +\angle JKP+ \angle LKP=180^{\circ}[/tex]
Substituting given values:
[tex]30+30+26+26+\angle JKP+\angle LKP=180[/tex]
Since [tex]\angle JKP=\angle LKP[/tex],
[tex]30+30+26+26+2(\angle JKP)=180,\\112+2(\angle JKP)=180,\\2(\angle JKP)=180-112,\\2(\angle JKP)=68,\\\angle JKP=\frac{68}{2}=\boxed{34^{\circ}}[/tex]
What are the coordinates of the point on the directed line segment from ( − 10 , 2 ) (−10,2) to ( − 10 , − 5 ) (−10,−5) that partitions the segment into a ratio of 6 to 1?
Answer: [tex](-10,-4)[/tex]
Step-by-step explanation:
Given
The points joining line segment are (-10,2) and (-10,-5)
Using section formula, a point joining segment [tex](x_1,y_1)\ \text{and}\ (x_2,y_2)[/tex] divides it in k:1 has coordinates
[tex]x=\dfrac{kx_2+1\cdot x_1}{k+1}[/tex], [tex]y=\dfrac{ky_2+y_1}{k+1}[/tex]
Ratio is 6:1
Coordinates are
[tex]\Rightarrow x=\dfrac{6(-10)+(-10)}{6+1}\\\\\Rightarrow x=-10[/tex]
[tex]\Rightarrow y=\dfrac{-5(6)+1(2)}{6+1}\\\\\Rightarrow y=\dfrac{-28}{7}\\\\\Rightarrow y=-4[/tex]
Thus, the coordinates are [tex](-10,-4)[/tex]
3. If a + b = C, which of the following statements is true?
Answer:
first one
Step-by-step explanation:
a + b = c
subtract a from both sides
b = c - a
or
c - a = b
[tex]\longrightarrow{\green{ a. \: c - a = b }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]a + b = c[/tex]
[tex]⇢ b = c - a[/tex]
[tex]⇢ c - a = b[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Please help
Solve this system of inequality by graphing.
Answer: Thats what the graph would look like hope this helps :)
Step-by-step explanation:
Answer:
see graph.
[tex]\leq[/tex] and [tex]\geq[/tex] are solid lines
< and > are dotted lines
graph inequalities same as regular equations
< shade below
> shade above
Please help i don't have enough time!! PISA: Exchange rate Mei-ling from Singapore has been preparing to go to South Africa for 3 months as an exchange student. She needed to convert some Singapore dollars (SGD) into South African Rand (ZAR). Mei-Ling discovered that the exchange rate between Singapore Dollar and South African Rand SeM 1 SGD = 4.2 ZAR Mei-Ling changed 3000 Singapore Dollars to South African Rand at this exchange rate. How much money did Mai Ling get in South African Rand?
Answer:
12600 (ZAR)
Step-by-step explanation:
4.2*3000
Help is needed please!!!!
Answer:
31/20
Step-by-step explanation:
You need to plug in x as y-3.
so instead of 10x+10y=1 it is 10(y-3)+10y=1
Then just simplify the equation to find the value of y
Pls someone help me with this it's urgent!
Answer:
I think it is y=√x -5
Step-by-step explanation:
if clt 5wont go with √x
An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?
error = 62-60 = 2°
% = (2×100)/60 = 100/30 = 10/3 = 3.333%
In the cafeteria tables are arranged in groups of 4, with each table seating 8 students. How many students can sit at 10 groups of tables?
Please help me on this!! 11 points!!!
[tex] \orange{\underline{\huge{\bold{\textit{\green{\bf{QUESTION}}}}}}} [/tex]
SIMPLIFY THE EXPRESSION [tex] \blue{\frac{m^{ \frac{2}{3} } }{m {}^{ \frac{1}{5} } } }[/tex]
[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]
[tex] \pink{ \frac{m^{ \frac{2}{3} } }{m {}^{ \frac{1}{5} } }} \\ m^{ \frac{2}{3} - \frac{1}{5} } \\ m^{ \frac{(2 \times 5) - (1 \times 3)}{3 \times 5} } \\ m^{ \frac{10 - 3}{15} } \\ m^{ \frac{7}{15} } [/tex]
[tex] \green{SECOND \: \: OPTION->}\purple{ m^{ \frac{7}{15} } }[/tex]
Fill in the blank with <,> or = . 11.01-----11.001
Answer: Greater than sign
In other words, 11.01 > 11.001
========================================================
Explanation:
For each given number, move the decimal point 3 spots to the right.
The value 11.01 becomes 11010
The value 11.001 becomes 11001
Since 11010 > 11001, this means 11.01 > 11.001
---------------
As an alternative method, you can subtract the values to see which is larger
The rule or idea is that
(large) - (small) = positive(small) - (large) = negativeFor example, 5-2 = 3 showing that 5 is larger than 2. As another example, 7-9 = -2 meaning 7 is smaller than 9. The order of subtraction matters.
In this case, 11.01 - 11.001 = 0.009 showing that 11.01 is larger than 11.001
Given d= 4t+1 can you determine the value of the y-
intercept?
HELP!! asap!
Help me pls look at this PHTOo Bc I don’t know how to explain
Answer:
42.1
Step-by-step explanation:
15.2% = 0.152
277 * 0.152 = 42.104
42.1 megabytes have been downloaded.
Hope this is helpful.
Answer:
42.1
Step-by-step explanation:
thanks for the pts
✌️❤️✌️
Un microempresario realiza una inversión donde le pagan una rentabilidad del 5,36% mensual simple, él desea que esa inversión se triplique ¿Cuánto tiempo deberá esperar para que esto ocurra?
Answer:
Deberá esperar 37.31 años para que esto ocurra.
Step-by-step explanation:
Este es un problema de interés simple.
La fórmula del interés simple viene dada por:
[tex]E = P*I*t[/tex]
En el que E es la cantidad de interés ganado, P es el principal (la cantidad inicial de dinero), I es la tasa de interés (anual, como decimal) y t es el tiempo.
Después de t años, la cantidad total de dinero es:
[tex]T = E + P[/tex]
5,36% mensual simple
Esto implica que [tex]I = 0.0536[/tex]
Inversión se triplique ¿Cuánto tiempo deberá esperar para que esto ocurra?
Tiempo t para que la cantidad de interés sea lo doble de la cantidad inicial, o sea, [tex]E = 2P[/tex].
[tex]E = P*I*t[/tex]
[tex]2P = P*I*t[/tex]
[tex]It = 2[/tex]
[tex]0.0536t = 2[/tex]
[tex]t = \frac{2}{0.0536}[/tex]
[tex]t = 37.31[/tex]
Deberá esperar 37.31 años para que esto ocurra.
The price of an item has been reduced by $1.84. The original price was $46.91. What is the price now?
Answer:
$45.07
Step-by-step explanation:
46.91-1.84= 45.07
what fraction of 3 hours is 30 minutes?
Answer:
7/2
Step-by-step explanation:
A regular hexagon is to be cut out of a circular sheet of metal that has a radius of 6
inches.
Approximately how many square centimeters of sheet metal will be left over as
scraps?
A. 32.9 square centimeters
B. 93.5 square centimeters
C. 113.1 square centimeters
D. 126.2 square centimeters
What is the growth factor associated with the following growth rate: 30% decrease
Your answer should be typed as a decimal.
Given:
Growth rate = 30% decrease
To find:
The growth factor associated with the given growth rate.
Solution:
The general exponential function is:
[tex]y=a(1+r)^x[/tex]
[tex]y=a(b)^x[/tex]
Where, a is the initial value, r is the growth rate in decimal and [tex]b=1+r[/tex] is the growth factor.
It is given that the growth rate is 30% decrease. So,
[tex]r=-30\%[/tex]
[tex]r=-\dfrac{30}{100}[/tex]
[tex]r=-0.3[/tex]
Now,
[tex]b=1+r[/tex]
[tex]b=1+(-0.3)[/tex]
[tex]b=1-0.3[/tex]
[tex]b=0.7[/tex]
Therefore, the growth factor is 0.7.
Ryan draws a trend line through the following data
points. Did he draw the line correctly?
Answer: C, You can tell the trend line is incorrect since all of the points are below it. A trend line should be in-between all of the points to give the best estimate.
Step-by-step explanation:
Help ASAP please thank u
Answer:
(A). F(x) = (x+1)^2
Step-by-step explanation:
If you replace x with the values of the axis, you get all the coordinates of the graph.
If this helps you, please give brainliest!
what are the two greatest common factors in 28 and 10
Square P and Square Q are similar squares. The ratio of the side length of Square P to the side length of Square Q is 2:7. If the side length of Square P is 3.5 inches, the perimeter of Square Q is?
Answer:
49 inches
Step-by-step explanation:
since we are talking about squares, and each side in a square has the same length, and all 4 angles are 90 degrees, "similar" did not mean much. every square is similar to every other possible square.
they all are bigger and smaller copies of themselves.
but how much bigger ?
in our case here P is the smaller square and Q the bigger one.
x = side length of P = 3.5"
y = side length of Q
x/y = 2/7
3.5/y = 2/7
7×3.5 = 2y
y = 3.5×3.5 = 12.25"
the perimeter of Q is
4×y = 4×12.25 = 49"