Answer:
AB and AC are congruent
Step-by-step explanation:
To show that the triangle is isosceles, we need to show that two of the sides of the triangle are equal.
Get AB
Using the formula for calculating the distance between two points
AB = √(x2-x1)²+(y2-y1)²
A(0,1), B(3,3)
AB = √(3-0)²+(3-1)²
AB = √3²+2²
AB = √9+4
AB = √13
Get BC
B(3,3), and C(3,-1)
BC = √(3-3)²+(-1-3)²
BC = √0²+-4²
BC= √0+16
BC = √16
BC = 4
Get AC
A(0,1), and C(3,-1)
AC = √(3-0)²+(-1-1)²
AC = √3²+(-2)²
AC = √9+4
AC= √13
Since AB = AC, this shows that the triangle ABC is an isosceles triangle.
The two sides that are congruent are AB and AC
will and olly share £80 in the ratio 3 : 2
Answer:
Will's share = 48
Olly's share = 32
Step-by-step explanation:
Will's share : Olly's share = 3:2
Will's share = 3x
Olly's share = 2x
3x + 2x = £ 80 {Combine like terms}
5x = 80 {Divide both sides by 5}
x = 80/5
x = 16
Will's share = 3x = 3*16 = 48
Olly's share = 2x = 2*16 = 32
There are 946 milliliters in a quart. There are 2 pints in a quart
How many milliliters are in a pint?
Answer:
There are 473 millimeters in 1 pint.
Step-by-step explanation:
946 ml in 1 quart.
2 pints in 1 quart
hence,
946 ml in 2 pints
hence in 1 pint we have 946/2 ml
i.e. 473 ml in 1 pint.
:)
Answer:
473 milliliters
Step-by-step explanation:
If there are 946 mL in a quart and there are 2 pints in a quart, divide 946 by 2 to find how many mL are in one pint.
Here's an equation you can set up to solve the problem.
— 946 = 2x
— 946 / 2 = 2x / 2
— 473 = x
So, if we let x stand for the amount of mL in a pint, then 473 = x means there are 473 mL in a pint.
What is the value of x
Answer:
54
Step-by-step explanation:
On the following composite figure, the longer edge length is 14 millimeters. The shorter edge length is 8 millimeters. The width of the figure, at its longest point, is 11.3 millimeters. Find the area of the figure. Explain or show how you got your answer. Note: Lines that look parallel are parallel, and angles that look like right angles are right angles.
Answer:
158.2 mm^2
Step-by-step explanation:
You can think of this figure as a rectangle in which a triangle from the bottom was moved to the top.
The area of the figure is the area of the rectangle.
A = LW = 14 mm * 11.3 mm = 158.2 mm^2
Write an equation of the line with a slope of 3 and a y-intercept of 4.5.
Answer:y= 3x + 4.5
Step-by-step explanation:
Find the required weekly payment into a sinking fund needed to accumulate $35,000 in 15 years by making weekly deposits into an account at 4.25% compounded weekly
.
Answer:
$32.10
Step-by-step explanation:
The amount to be accumulated in 15 years is the future value of the sinking fund, hence, using the future value formula below, we can determine the required weekly payment as appropriate:
Future value=weekly payment*(1+r)^n-1/r
Future value=$35,000
weekly payment is the unknown
r=weekly interest rate=4.25%/52=0.08173077% ( I use 8 decimal places in order to achieve accuracy)
n=number of weekly payments in 15 years=15*52=780
35000=weekly payment*(1+0.08173077% )^780-1/0.08173077%
35000=weekly payment*(1.89125311 -1)/0.000817308
35000=weekly payment*0.89125311 /0.000817308
weekly payment=35,000*0.000817308 /0.89125311
weekly payment=$32.10
If x = -4 and y=3, what is
the value of x – 3y² ?
Answer:
-31
Step-by-step explanation:
(-4)-3[tex](3)^{2}[/tex]
-4-3(9)
-4-27
-31
I'm Jeff Bezos. AMA (ask me anything)
Answer:
CAN I GET AMAZON GIFT CARD AND SOME MULLA THANKS LOVE YOU SUGAR ZZZADDY
Step-by-step explanation:
Assume the random variable x is normally distributed with mean u = 86 and standard deviation o = 5. Find the indicated probability
P(x <83)
Answer:
2
Step-by-step explanation:
what is th eqivalent expression for 4x 2/3
find x in the proportion x:6= 25:5
Step-by-step explanation:
[tex] \frac{x}{6} = \frac{25}{5} \\ [/tex]
[tex] \frac{x}{6} = \frac{5}{1} \\ [/tex]
[tex]x = 30[/tex]
A company sells, amongst other products, a medicated shampoo. The shampoo is sold in container sizes that are labeled as containing 500 ml. The volume of liquid that is actually put into the containers is normally distributed with a mean of 510 ml and a standard deviation of 10 ml.
(a) Estimate the probability that a container chosen at random will hold
(i) more than 520 ml
(ii) between 495 ml and 515 ml
(iii) less than the advertised amount
Answer:
between (ii)
Step-by-step explanation:
A data set has a mean of 80. The value 83 lies one standard deviation above the mean. What is the margin of error?
Answer:
3
Step-by-step explanation:
Answer:
it will be 6
Step-by-step explanation:
The standard deviation is 83 – 80 = 3. Since margin of error is two times the standard deviation, it must equal 6.
The ratio of 6:5 can be expressed as
Answer:
the ratio of 6:5 can be expressed as 6/5
a) Work out the value of angle x.
b) Give reasons for your answer.
Answer:
60 degrees
Step-by-step explanation:
The bottom and top horizontal lines are parallel. This means x and the bottom right angle in the triangle are the same. Because of the lines going through the triangle's sides we know the triangle's lengths are the same, making it an equilateral triangle. In an equilateral all angles are the same size: 60 degrees.
Which expression is equivalent to +7?
Which expression is equivalent to 5/6 divide to 7
Answer:
(5/6)/7!
5/(6*7!)=5/(6*7*6*5*4*3*2*1)=1/(6*7*6*4*3*2*1)=1/6048=0.0001653439
Step-by-step explanation:
The answer is 5/6x1/7
URGENT PLEASE HELP
Consider this equation.
cos(0)= -2√5/5
If 0 is an angle in quadrant II, what is the value of sin(0)?
Answer:
I hope this can help
Step-by-step explanation:
The value of sin(0) should be considered as the [tex]\sqrt{5} \div 5[/tex]
Calculation of the value of sin(0):Since the equation is [tex]cos(0)= -2\sqrt 5/5[/tex]
Also in the case when 0 is an angle in quadrant II
So based on this, we can say that value of sin(0) should be considered as the [tex]\sqrt{5} \div 5[/tex]
Learn more about an equation here: https://brainly.com/question/4874021
Is 1/2 plus 5/12 greater than 1 or less than 1
Answer:
Less than 1
1/2=6/12
6/12+5/12=11/12
11/12<1
#CarryOnLearning
Make it brainliest ty
Doug had a total of $75 to buy 3 pictures for his room. He paid the same amount for each picture and had $27 left over. How much money did Doug pay for each
picture?
Solve. Check the solution. t/8 = 15 *
Answer:
the answer is 15 I'm positive
What is the surface area of the rectangular prism?
PLSSS HELP GUYS I NEED HELP ASAP
Answer:
348 ignore this eoendndisiwjd
A wheel assembly is
made from 2 wheels,
each weighing 2.6
pounds, and a steel
axle, which weighs
1.8 pounds. What is
the total weight of
the assembly?
Answer:
The total weight of the assembly is 7 pounds.
Step-by-step explanation:
The total weight of the assembry is found by the sum of the weights of each components.
We have:
2 wheels, each weighing 2.6 pounds, so 2*2.6 = 5.2 pounds
An axle, which weighs 1.8 pounds, so 5.2+1.8 = 7 pounds
The total weight of the assembly is 7 pounds.
SOMEONE PLEASE PLEASE HELP!!!!!
Answer:
1800
Step-by-step explanation:
PLEASE HURRY AND ANSWER
The laundry machines in Stephanie's building take 5 quarters each (5 quarters to wash and 5 quarters to dry). If Stephanie washes and dries 3 loads of laundry, how much does she pay?
Answer: 1.50
Step-by-step explanation:
1 load= 50 cents 2 loads = 1 dollar 3loads= 1.50 dollar
Answer:
30 quarters, $7.50
Step-by-step explanation:
Multiply 25 (value of a quarter) by 5
Then, add that (125) to itself: 125+125=250
Then, since it's 3 loads, multiply 250 by 3: 250x3= 750
Divide by 25 if you want to find out how many quraters there are
If Janet maintains the same driving rate can she drive more than 600 miles in 10 hours?Explain
What the answer ? 3 7/8 times 10 1/10 (estimate this product)
Consider the series 7/9+7/27+7/81+7/243
Answer:
=1 37/243
Step-by-step explanation:
the series is that the numerator is all 7
srry if its wrong i dont rlly understand what its asking
Answer:
= 1.1522....
Step-by-step explanation:
7/9 +7/27 +7/81 + 7/243
189 + 63 + 1,701 + 567
243. 19,683
= 252 + 2,268
243. 19,683
= 4,960,116 + 551,124
4,782,969
= 5,511,240
4,782,969
= 1.15
Five cats each ate 1/3 cup of canned food and 1/3 cup of dry food.
How much food did they eat altogether? Enter the answer in simplest form.
Answer:
Step-by-step explanation:
5/ 1/3=1.6x2=3.2
Answer: They are 3⅓ cups of food altogether.
Step-by-step explanation: 5 Cats. Each gets 1/3 canned plus 1/3 dry
5/3 + 5/3 = 10/3
Simplify that to 3⅓ cups.
Mr.perkins has $120 in a savings account .the interest rate is 5% per year and it is not compounded how much will he have in 2 years
Answer:
The answer is $132
Step-by-step explanation:
120+ (5% of 120) (2)
120+(6)(2)
120+12
=132
1.2.
Prove the following the trigonometric identity step-by-step
1.2.1 sin theta/sin theta+cos theta=tan theta/1+tan theta
Answer:
The identity is proved below.
Step-by-step explanation:
The tangent of an angle [tex]\theta[/tex] is given by:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
In this question, we are given the following trigonometric identity:
[tex]\frac{\sin{\theta}}{\sin{\theta}+\cos{\theta}} = \frac{\tan{\theta}}{1+\tan{\theta}}[/tex]
Applying the tangent
[tex]\frac{\sin{\theta}}{\sin{\theta}+\cos{\theta}} = \frac{\frac{\sin{\theta}}{\cos{\theta}}}{1+\frac{\sin{\theta}}{\cos{\theta}}}[/tex]
Now, we apply the least common multiple on the denominator. So
[tex]\frac{\sin{\theta}}{\sin{\theta}+\cos{\theta}} = \frac{\frac{\sin{\theta}}{\cos{\theta}}}{\frac{\cos{\theta}+\sin{\theta}}{\cos{\theta}}}[/tex]
SImplifying the cosine:
[tex]\frac{\sin{\theta}}{\sin{\theta}+\cos{\theta}} = \frac{\sin{\theta}}{\sin{\theta}+\cos{\theta}}[/tex]
Which means that the identity is proved.