Answer:
A(2, -3) and B(3, -2), o(0, 0) Let C(x, y)
Here c divide AB line in the ratio of 1:2
From the line intersection law, we get x=(m1×x2+m2×x1)/(m1+m2)
and y=(m1×y2+m2×y1)/(m1+m2)
where m1=1, m2=2, x1=2, x2=3, y1=-3, y2=-2;
so x=(3+4)/3
or, x=7/3;
y=(-2-6)/3
or, y=-8/3;
so, oc=√((0-7/3)²+(0-(-8/3))²)
oc=3.54
The tile pattern below is made up of trapezoids and rhombuses. What is the area of each figure in the pattern?
The trapezoids have a height of 2 inches and bases that measure 2 inches and 3 inches.
The rhombuses have diagonals that measure 1 inch and 4 inches.
The area of the rhombus and trapezoid from the figure are 2 square in and 5 square in respectively
How to find the area of a trapezoid and rhombus?The given pattern consists of rhombus and trapezoids
The formula for calculating the area of rhombus is expressed as:
A = pq/2
Area of trapezoid = 0.5(a+b)h
Given the following
height = 2in
a = 2in
b = 3in
Ara of rhombus = 1(4)/2 = 2 square inches
Area of the trapezoid = 0.5(2+3) * 2
Area of the trapezoid = 5 square inches
Hence the area of the rhombus and trapezoid from the figure are 2 square in and 5 square in respectively
Learn more on area of rhombus and trapezoid here: https://brainly.com/question/2456096
Determine if a quadrilateral with the given vertices is an isosceles trapezoid. Show and explain all steps to prove or disprove.
A(-5,0) B(5,0) C(-3, 4) D(3, 4)
Answer:
Step-by-step explanation:
Write an equation in slope intercept form for the line with slope 3/2 and y intercept -8
Answer:
[tex]y=\frac{3}{2}x-8[/tex]
Step-by-step explanation:
We can use the definition of slope-intercept form to answer this:
[tex]y=mx+b[/tex]
Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
So all we do is stick in the numbers and we get:
[tex]y=\frac{3}{2}x - 8[/tex]
What is 10^5/10^3=?
What is the answer
Answer:
10⁵ / 10³ = 10^(5-3)= 10²
while diving the power gets subtracted if they have same base
Express as single logarithm.
1/2 log (x) - 2 log (2y) + 3 log (z)
Answer:
Step-by-step explanation:
Log Rules
A plus sign between logs means multiply.A minus between logs means divideA number in front of the log means a powerGivens
1/2 log (x)
log (x)^(1/2)
2 log(2y)
log(2y)^2
log(2^2y^2)
log(4y^2)
3 log(z)
log(z^3)
Solution
log(x)^(1/2) * log(z^3) / log(4 y^2)
Answer: log(x^1/2)*(z^3)/(4y^2)
expressions equivalent to 2(1.5+2.5)-4
Answer:
I believe that the answer is 4
Use the formula for radian measure to calculate the measure of a central angle in a circle having a radius of 12 cm and intercepting an arc of 21 cm. theta = startfraction s over r endfraction the angle has a measure of radians.
The central angle has a measure of radians calculated by the formula for radian measure is 1.75 radians.
What is the formula for radian measure?The formula for radian measure to calculate the central angle is given as,
[tex]\theta=\dfrac{s}{r}[/tex]
Here, (r) is the radius of the circle and (θ) is the central angle.
In a circle having a radius of 12 cm and intercepting an arc of 21 cm. Put the value of radius and the length of the arc in the above formula as,
[tex]\theta=\dfrac{21}{12}\\\theta=1.75[/tex]
Thus, the central angle has a measure of radians calculated by the formula for radian measure is 1.75 radians.
Learn more about the radian measure formula here;
https://brainly.com/question/12939121
Answer:1.75 radians
Step-by-step explanation: edge
Suppose you invest $550 at an annual interest rate of 3% compounded continuously. How much will you have in the account after six years? Round your answer to the nearest cent.
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$550\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &6 \end{cases} \\\\\\ A=550e^{0.03\cdot 6}\implies A=550e^{0.18}\implies A\approx 658.47[/tex]
The answers are not right and there not answering quickly there taking a long time to answer the question please what is the answer?
Step-by-step explanation:
the volume is 4/3 × pi × r^3
4/3 × 3 × 4^3
the volume is 256 cm cubed.
the radius is 4 cm.
Josh’s web site had 805,289 visitors Diego’s site had 1,000,000 visitors. How many more visitors did Diego’s site have that josh’s
Answer:
194,711
Step-by-step explanation:
1,000,000 - 805, 289 = 194,711
Look at the map showing the Austria-Hungarian Empire in about 1900.
Map of ethnic groups in Austria-Hungary in 1867. Prussia, the Russian Empire, Kingdom of Italy, Serbia and Romania are shown along with these ethnic groups: Germans, Poles, Slovenes, Hungarians, Romanians, Italians, Czechs and Slovaks, Croats and Serbs.
What information does the map provide about the Austria-Hungarian Empire?
Answer:
Austria-Hungary was home to many different ethnic groups.
Step-by-step explanation:
hope it helps ;))
Can anybody help with Simple interests
Answer:
1.) $408.15 | 2.) $8,039.06 | 3.) 807,837.24 | 4.) $1,163.19
Step-by-step explanation:
1.) You need to know the exponential growth and decay formula.
The formula: y=ab^x
**For no.1**
Your initial amount is 300 which is the a
You need to do 100%+8% which is 108%
-This needs to be in decimal form: 1.08
4 years is the number of times the interests shall go up
Now do the equation:
y=300(1.08)^4 --> Multiply everything but do exponents first!!
y= $408.146688
$408.15 - This is the answer for no.1 it shall be rounded
**For no.2**
Same thing as last:
y=1500(1.75)^3
y= $8,039.0625
$8,039.06
**For no.3**
y=900(1.12)^60
y= 807,837.24
This had to be approximate
**For no.4**
y=820(1.06)^6
y= 1,163.1856
$1,163.19
of The marked price of a pair of shoe is Rs480. Shopkepper allow discount 10% on shoe find how much should for the shoes after discount a customer pay.
Answer:
$48.
Step-by-step explanation:
$480-$48
=$432
after the discount
Over 5 days, Penelope practices the kazoo for 4 hours. She also plays video games every day. If she spent a total of 13 hours doing both, how many hours a day does she play video games?
A. 1.6 hours
B. 1.8 hours
C. 2 hours
D. 1.4 hours
Answer:
B : 1.8 hours a day.
Step-by-step explanation:
For 5 days she practices for 4 hours.
Subtract the 4 hours by the combined 13 hours.
Divide the remainding 9 hours of video game time by the 5 days.
Rice weighing 33/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?
Answer:
33 ounces.
Step-by-step explanation:
There are 16 ounces in a pound, so multiply 33/4 by 16, which gives you 132 ounces. We can then divide this number by 4, 132/4, giving us 33 ounces of rice in each container.
Donnie ran 6.24 kilometers in a race last weekend. How many meters did he run?
he ran 10meters last weekend
help pls......, 50 points
The correct answer would be- D: 1.601 x 10^9
Answer:
the answer is D: 1.601 x 10^9
Step-by-step explanation:
At a local bodega, the cost of a bottle of juice at the corner store is
$1.05, and the cost of a bag of chips is $1.10. What would it cost to get
8 bottles of juice and 4 bags of chips? What would it cost to get a
bottles of juice and y bags of chips?
Total cost, 8 bottles of juice and 4 bags of chips:
Total cost, x bottles of juice and y bags of chips:
y
Answer:
$12.80
Step-by-step explanation:
The cost to get 8 bottles of juice and 4 bags of chips will be:
= 8($.105) + 4($1.10)
= $8.40 + $4.40
= $12.80
The cost for x bottles of juice and y bags of chips will be:
= (1.05 × x) + (1.10 × y)
= 1.05x + 1.10y
Write your answer as a fraction or as a whole or mixed number.
27pts
What we know:
Bird feeder capacity: --> 2 4/5 cupsSamantha's scoop capacity: --> 7/10 cupsLets first convert the mixed partial fraction --> improper fraction
--> for easier calculation
After Conversion:
Bird feeder capacity: --> 14/5 cupsSamantha's scoop capacity: --> 7/10 cupsTo find how many scoops of birdseed will Samantha put into the feeder we must:
--> divide the total capacity by the scoop's capacity
--> find the number of scoops:
Solve:
[tex]Total-number- of -scoops = \frac{\frac{14}{5} }{\frac{7}{10} } =\frac{14}{5} *\frac{10}{7} =\frac{14*10}{5*7} =\frac{14}{7} *\frac{10}{5} =2*2=4[/tex]
Thus the total number of scoops that Samantha will put into the bird feeder is 4
Answer: 4
Hope that helps!
The Science Club is researching boiling points. They learn that at high altitudes, water boils
at lower temperatures. At sea level, water boils at 212°F. With each increase of 500 feet in
elevation, the boiling point of water is lowered by about 1°F.
a. 212– 1/500 e < 195
b. 1/500 e - 195 < 212
c. 195 - 212e < 1/500
d. 212 – 195e<1/ 500
The inequality expression that accurately represents the phenomena described in the question is:
212– 1/500 e < 195 (Option A)
Inequalities can be used to represent many real-life problems. Inequalities are similar to equations.
The inequality above represents the situation in which the boiling point of the sea reduces as the altitude increases.
Learn more about inequalities at:
https://brainly.com/question/24372553
Should you use Sine, Cosine, or Tangent to solve the following problem
Answer:
Chose Cosine
Step-by-step explanation:
This is because cos = adj/hyp
Hope this helps!!!
what is 13 x 350?
My calculator does not work
There's a picture with all the info
Answer:
3 un wer
8 lnter
12 jin
Step-by-step explanation:
of the corret anwer
I also need help with this
Answer:
9
Step-by-step explanation:
Lowest chart value = 0
Highest chart value = 9
Range: highest chart value - lowest chart value
Range: 9 - 0
Range: 9
Hope this helps!
SOMEONE HELP ME IM FREAKING OUT I LITERALLY CANT WITH THIS QUESTION IM PRAYING PLEASE HELP ME IM SO SERIOUS IM GONNA END IT PLS HELP ME the question is like 3-v BUT LIKE THE v has a line on top so its like 3-v32/1+v2 LIKE I DONT UNDERSTAND
can be written in the form a + bv2
where a and b are integers .
Answer:
[tex]\sf -11+7\sqrt{2}[/tex]
Step-by-step explanation:
Given expression:
[tex]\sf \dfrac{3-\sqrt{32}}{1+\sqrt{2} }[/tex]
Rewrite 32 as 16 · 2:
[tex]\sf \implies \dfrac{3-\sqrt{16 \cdot 2}}{1+\sqrt{2} }[/tex]
Apply radical rule [tex]\sf \sqrt{a \cdot b}=\sqrt{a}\sqrt{b}[/tex]
[tex]\sf \implies \dfrac{3-\sqrt{16}\sqrt{2}}{1+\sqrt{2} }[/tex]
As [tex]\sf \sqrt{16}=4[/tex]:
[tex]\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} }[/tex]
Multiply by the conjugate:
[tex]\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} } \times \dfrac{1-\sqrt{2} }{1-\sqrt{2} }[/tex]
[tex]\sf \implies \dfrac{(3-4\sqrt{2})(1-\sqrt{2})}{(1+\sqrt{2})(1-\sqrt{2})}[/tex]
[tex]\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4\sqrt{2}\sqrt{2}}{1-\sqrt{2}+\sqrt{2}-\sqrt{2}\sqrt{2}}[/tex]
As [tex]\sf \sqrt{2}\sqrt{2}=\sqrt{4}=2[/tex]:
[tex]\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4 \cdot 2}{1-\sqrt{2}+\sqrt{2}-2}[/tex]
[tex]\sf \implies \dfrac{3-7\sqrt{2}+8}{1-2}[/tex]
[tex]\sf \implies \dfrac{11-7\sqrt{2}}{-1}[/tex]
[tex]\sf \implies -11+7\sqrt{2}[/tex]
what is the
answer 5/6=1/3+d
Answer:
d is equal to 3/6 or 1/2
Step-by-step explanation:
to solve this you need to convert 1/3 to have the demoninator of 6 by multiplying the top and bottom by a factor of 2 to get 2/6. then move 2/6 to the other side of thr equation by subtracting so 5/6 - 2/6 which is 3/6 or 1/2
A triangular swimming area is marked off by a rope.
a. If a woman swims around the perimeter of the swimming area, how far will she swim?
b. What is the area of the roped off section?
#a
Perimeter=Sum of sides
400+200√6+200+200√3600+200(√6+√3)600+200(2.6+1.7)600+200(4.3)600+8601460m#b
Area:-
1/2×Base×Height1/2(200+200√3)(200√3)(200+200(1.7))100√3(200+340)(170)540(170)91800m²Answer:
Perimeter = 1436.3 m (nearest tenth)
Area = 94641.0 m² (nearest tenth)
Step-by-step explanation:
The perimeter is the sum of the lengths of all the sides.
[tex]\begin{aligned}\sf \implies perimeter & =400+200\sqrt{6}+200\sqrt{3}+200\\ & =1436.30811\\ & = 1436.3 \: \sf m\:(nearest\:tenth)\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Area of a triangle} & =\sf \dfrac12 \times base \ height\\ & = \sf \dfrac12 \times (200+200\sqrt{3}) \times 200\sqrt{3}\\ & =94641.01615\\ & = 94641.0\: \sf m^2\:(nearest\:tenth)\end{aligned}[/tex]
solve the expression 7-[60*(6x2)]
Answer:
7-720= -714
Step-by-step explanation:6x2=12 60x12=720 so thats the brackets then substract from seven to get the answer -714
Mr. Holmes wanted to buy a computer that costs $900 and a printer that costs $250. He has
$100. Write an equation that can be used to find A, the amount of money still needed in order to
buy both the computer and the printer?
Answer:
900+250-100=1050
Step-by-step explanation:
computer cost plus printer cost subtracting his current amount equals the total amount left he needs to pay for both of the appliances.
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed. 50 Points!!
Answer:
tanC = [tex]\frac{12}{5}[/tex]
Step-by-step explanation:
tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{36}{15}[/tex] = [tex]\frac{12}{5}[/tex]