Answer:
x^2 + 5x - 84 = 0
x = 7
Step-by-step explanation:
let the sister's age = y
sister's age (y) = 5 + x equation 1
xy = 84 equation 2
Make y the subject of the formula in equation 2
y = 84/x
equate equation 1 and 2
84/x = 5 + x equation 3
Multiply equation 3 by x
84 = 5x + x^2
x^2 + 5x - 84 = 0
tjis can be solved using quadratic equation
x^2 -7x + 12x -84 = 0
x(x + 12) -7(x + 12)
x = 7 or - 12
age cant be negative so his age is 7
help me out, thank you !
How many solutions are there to this nonlinear system?
A.Two solutions
B. One solution
C. No solutions
can you guys help me with this
Answer:
BD = 3.2.
CD = 2.4.
Step-by-step explanation:
By Pythagoras:
AB^2 = 3^2 + 4^2 = 25
AB = 5.
Triangles ADC and ACB are similar, so
AC / AB = AD / AC
3 / 5 = AD / 3
AD = 3*3/5
AD = 9/5 = 1.8
So BD = 5 - 1.8
= 3.2.
CD^2 = AC^2 - AD^2 (Pythagoras)
CD^2 = 3^2 - 1.8^2 = 5.76
CD = 2.4.
Can someone please help me
Answer:
1/6
Step-by-step explanation:
he has 1 chance to roll 6 different numbers
write the number in word form .0001
Answer:
0.0001 in word form is ten thousandth
someone help me i don’t understand this !
Answer: put it in the calculator with the () and they will give it to you right like you need it
Step-by-step explanation: :)
Answer:
I help you
Step-by-step explanation:
I help you _GUTI_ discord
please help tysm ! Giving brainliest to best answer
Step-by-step explanation:
here is your answerrrrrrrrrrr
Given the triangle
find the length of side 2 using the Law of Sines.
please help me!!!! pleasseeeee
Answer: I'm not to sure, but Khan Academy does a really good job at this. Anything apart of STEM they have a step by step video on.
Step-by-step explanation:
What is the correct angle measure 42° 38° 142° 158°
Answer:
142°
Step-by-step explanation:
If it's goes from right to left, you read bottom numbers.
if it goes from left to right, you read the top numbers.
Pleas help grade depends on it
Answer:
C. 62x+239=672
Step-by-step explanation:
X represents hours , which means 62 miles per hours equals 62x. Since Ed has already traveled 239 miles the opposite would be to add in order to subtract in the equation. 672 would be the equivalent of traveling 672 miles in x hours.
A small box of pens costs $6. A large box of pens costs $8. The table shows the
costs of buying certain numbers of boxes of pens. Which ordered pair represents
the cost of 5 small boxes and 5 large boxes?
PLEASE HELP
Square tiles measuring 4 inch on each side will be used to tile a 1-foot by 1-foot area. How many of these tiles are needed?
Answer:9
Step-by-step explanation:
4 inches fits into 12 inches three times. Three rows multiplied by three columns equals 12.
Hope that helps!
In the figure above, ABCD is a cyclic quadrilateral. What ja the value of x in degrees?
Answer:
Step-by-step explanation:
Remark
The diagram makes the line AB look like it is tilted a bit to the right. I'm going to assume that isn't right. AB extended is a straight line. ADC is supplementary to the 80o angle.
Solution
<ADC + 80o = 180 They are on the same straight line
<ADC = 180 - 80 Subtract 80 from both sides
<ADC = 100o
Opposite angles of a cyclic quadrilatral are supplementary
<ADC + <ABC = 180 Property of cyclic quadrilaterals
100 + <ABC = 180 Subtract 100 from both sides
<ABC = 80 degrees.
<x + <ABC = 180
<x + 80 = 180
<x = 100 degrees
Discussion
I cannot be sure what the arc at B is equal to. Is the arc = 80 o or is <ABC = 80. And it is unresolvable. My suggestion is that you ask your teacher.
1) ABC is a right-angled triangle.
AB = 50 cm.
Angle ABC= 24°
Work out the length of BC.
Give your answer correct to 1 decimal place.
Answer:
112.3
Step-by-step explanation:
(2N/6N+4) (3N+2/3N-2
Find the variable in the figure. The diagram is not to scale.
Volume=16π
r = 2
The volume of a cone can be found using the following equation
[tex]V = r^2\frac{h}{3} \pi[/tex]
After putting in the information that we already know we get
[tex]16\pi = r^2\frac{12}{3} \pi \\16\pi = r^2(4) \pi \\4 = r^2\\ r = 2\\[/tex]
For proof's sake, we can try the equation again with the information we know
[tex]V = r^2\frac{h}{3} \pi \\V = 2^2\frac{12}{3} \pi \\V =4(4) \pi \\V = 16\pi[/tex]
Rewrite the logarithmic equation: log4x = 5 in exponential form.
Answer:
4^5=x
x= 1045
Step-by-step explanation:
4 to the power of 5 is 1045:)
Answer:
The base of the log is the same as the base of the exponential form and in our case the base is 4. The value of the exponent is what the log is equal too and in our case it is 5. We already know the base is 4 and we want to raise it to the exponent of 5 so we get
x=45 *five on top*
x=1024
Step-by-step explanation:
Please answer this question correctly
Answer: 44
EC is basically EF times 2
Answer: EC=44
Step-by-step explanation:
PLEASE ANSWER!!
Carl is filling flower pots with soil. Each flower pot is a cylinder with radius 7in and height 20in. His bag of potting soil contains 12,000 cubic inches of soil. How many flower pots will he be able to COMPLETELY FILL with his one bag of soil?
A: 1 flower pot
B: 2 flower pots
C: 3 flower pots
D: 4 flower pots
Answer:
3 pots
Step-by-step explanation:
V(cylinder)= π×r²×h=3078.8 cubic inches
12,000 / 3078.8= 3.89
so you can only fill 3 pots
The area of this shape is
Answer:
Step-by-step explanation:
Answer:
169.4ft^2
Step-by-step explanation:
Area of right triangle= base x height /2
Area of right triangle= 24.2x (7x2) /2
Area of right triangle= 24.2x (14) /2
Area of right triangle= 24.2x (14) /2
Area of right triangle= 169.4ft^2
Hey guys is this correct?.
Answer:
Step-by-step explanation:
PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!!
Answer:19
Step-by-step explanation:
7x3=21
21-2=19
Answer:
total of 7 fabric needed but 2 are given so:total fabric minus 2 is; 7 minus 2 is 5 needed
PLEASEEEE HELPPP SOMEONEEE
The number of texts Lee and John received each day for 8 days is shown. Lee's Text messages: (36, 31, 33, 35, 40, 29, 34, 34)
John's Text messages: (20, 15,45,5,23,22, 12, 18)
Lee's mean number of texts per day is 34 and John's mean number of texts per day is 20.
What statement involving MAD (mean absolute deviation) is true?
A. Lee has less variation in the number of text messages per day than John because Lee's MAD of texts per day is less than John's.
B. Lee has less variation in the number of text messages per day than John because Lee's MAD of texts per day is greater than John's.
C. Lee has greater variation in the number of text messages per day than John because Lee's MAD of texts per day is less than John's.
D. Lee has greater variation in the number of text messages per day than John because Lee's MAD of texts per day is greater than
John's
Answer:
a
Step-by-step explanation:
We in the same boat sis
Need help take your time and thx
Answer:
if you factor it the answer is (x−5)(x−9)
A line with a slope of -5 passes through the point (-3, 1). Write the
equation of the line in slope-intercept form.
Answer:
1/2
Step-by-step explanation:
help me please
:)
i really need it
Answer:
3.5 qt or 3 qt and 2c
Step-by-step explanation:
4 cups makes 1 quart
14/4 = 3.5
15 POINTS!!! PLEASE HELP ASAP! WILL MARK BRAINLIST!
Find the missing side of this right
triangle.
Х
6
10
X=
= V[?]
Enter the number that belongs in the green box.
Answer:
136
Step-by-step explanation:
hyo^2=opp^2+adj^2
x^2=6^2+10^2
x^2=36+100
x^2=136
x=
[tex] \sqrt{136} [/tex]
answer dis or somethinggg
Answer:
ok just did now give be brainlyest
Step-by-step explanation:
Answer:
ur mom ur mom ur mom ur mom ur mom ur mom ur mom
Step-by-step explanation:
The chance of randomly selecting a red marble from a bag is 3/10. What is the probability of not selecting a red marble.