Answer:
x= 3√126 /3
Step-by-step explanation:
hope this helps
Kevin picked 3/4 of a pound of strawberries. That afternoon, his sister ate 2/3 of the strawberries Kevin picked. How many pounds of strawberries did Kevin's sister eat? Use a visual model (such a number line, area diagram or pattern blocks) to find the answer to the problem. State the answer and explain how you determined the answer from your model.
Answer:
1/12 pounds of strawbebbies left.
Step-by-step explanation:
In right triangle PQR, PR = 17, RQ = 15,
= 15,
and PQ = 8. What is tan P?
Answer:
[tex]\sf\bold \longmapsto \: Tan \: P = \frac{15}{8} [/tex]
Step-by-step explanation:
We know,The formula of Tan ∅ is–
[tex]\sf\longmapsto \: \tan = \frac{opposite}{adjacent} [/tex]
Therefore,Tan P will be Option D
[tex]\sf\longmapsto \: \frac{15}{8} [/tex]
Three cubes with volumes 8 cm3, 27 cm3 and 64 cm3 are glued together to form a solid figure. What the least possible surface area (cm2) of the solid figure?
Answer:
148 cm²Step-by-step explanation:
The cubes have sides of 2 cm, 3 cm and 4 cm respectively.
Their face area of the cubes is 4 cm², 9 cm² and 16 cm² respectively.
Total surface area of each cube is:
Side 2 cm - 6*(2*2) = 24 cm², Side 3 cm - 6*(3*3) = 54 cm², Side 4 cm - 6*(4*4) = 96 cm².Total of three cubes:
24 + 54 + 96 = 174 cm²When you glue the cubes together you lose an area equal to double face area of the smaller cube from the total surface area.
Possible decrease, provided full faces area covered:
2 cm cube with the other two ⇒ loss of four 2x2 faces 4*4 = 16 cm²3 cm or 4 cm cube with the other two ⇒ loss of two 3x3 and two 2x2 faces 2(9+4) = 26 cm²The least possible surface area is:
174 - 26 = 148 cm²3Cubes :
Volume = 8cm³ ==> r = 2cmVolume = 27cm³ => r = 3cmVolume = 64cm³ => r = 4cmSoo :
Volume - 1 = 6 × 2² = 6 × 4 = 24cm²
Volume - 2 = 6 × 3² = 6 × 9 = 54cm²
Volume - 3 = 6 × 4² = 6 × 16 = 96cm²
Totals = 24 + 54 + 96 = 174cm²[tex] \: [/tex]
surface area = 174 - 2(3² + 2²)
surface area = 174 - 2(9 + 4)
surface area = 174 - 2(13)
surface area = 174 - 26
serface area = 148cm²
[tex] \: [/tex]
-HayabusaBrainly
Prove that: (sin x - 2 sin³ x)/(2 cos³ x - cos x) = tan x
[tex]\large\underline{\sf{Solution-}}[/tex]
We have to prove that:
[tex]\rm\longmapsto \dfrac{ \sin(x) - 2 \sin^{3} (x) }{2 \cos^{3} (x) - \cos(x) } = \tan(x) [/tex]
Taking LHS, we get:
[tex]\rm = \dfrac{ \sin(x) - 2 \sin^{3} (x) }{2 \cos^{3} (x) - \cos(x) }[/tex]
We can take sin(x) as common from numerator part. We get:
[tex]\rm = \dfrac{ \sin(x) \{1- 2 \sin^{2} (x) \}}{2 \cos^{3} (x) - \cos(x) }[/tex]
Similarly, we can take cos(x) as common from first two terms. We get:
[tex]\rm = \dfrac{ \sin(x) \{1- 2 \sin^{2} (x) \}}{ \cos(x) \{ 2 \cos^{2} (x) -1\}}[/tex]
[tex]\rm = \dfrac{ \sin(x) }{ \cos(x) } \cdot \dfrac{\{1- 2 \sin^{2} (x) \}}{\{ 2 \cos^{2} (x) -1\}}[/tex]
As we know that:
[tex]\rm\longmapsto \dfrac{ \sin(x) }{ \cos(x) } = \tan(x) [/tex]
We get:
[tex]\rm = \tan(x) \cdot \dfrac{\{1- 2 \sin^{2} (x) \}}{\{ 2 \cos^{2} (x) -1\}}[/tex]
Now, we will expand the terms in fraction:
[tex]\rm = \tan(x) \cdot \dfrac{\{1- \sin^{2} (x) - { \sin }^{2}(x) \}}{\{\cos^{2} (x) + \cos^{x}(x) -1\}}[/tex]
As we know that:
[tex]\rm \longmapsto \sin^{2}(x)+cos^{2}(x)=1[/tex]
[tex]\rm \longmapsto\cos^{2}(x)=1-sin^{2}(x)[/tex]
[tex]\rm \longmapsto\cos^{2}(x) - 1=-sin^{2}(x)[/tex]
Now substitute the values in the expression, we get:
[tex]\rm = \tan(x)\cdot \dfrac{ \cos^{2} (x)-{ \sin }^{2}(x)}{\cos^{2} (x) - \sin^{2} (x) }[/tex]
[tex]\rm = \tan(x)\cdot1[/tex]
[tex]\rm = \tan(x)[/tex]
Here, we notice that LHS = RHS
Proved.
If f ( x ) is a linear function, f ( − 1 ) = 2 , and f ( 5 ) = − 5 , find an equation for f ( x ) . f ( x ) =__
show your work!
Step-by-step explanation:
Let's first find the slope
(-5-2)/(5--1) = -7/6
the equation should be
[tex]y = \frac{ - 7}{6} x + c[/tex]
To find c, we replace X with -1 and Y with 2
c= 5/6
So the equation is
[tex]y = \frac{ - 7}{6} x + \frac{5}{6} [/tex]
And if you multiply everything by 6 you get
6y = -7x +5
Please do 5 and 6!!!!
please help me if you can. Sorry if it’s blurry
Step-by-step explanation:
oh, come on, just multiplication.
7.5×10⁴ years is 7.5×10000 =75000 years.
0.005 inches per year for 75000 years means
0.005 × 75000 = 5 × 75 = 375 inches.
For each team, find the unit rate games per loss.
Answer:
Ой ну не знаю очень сложный вопрос
can someone help me with this it’s due!!!
Answer:
10 feet tall
Step-by-step explanation:
(Triangle problem was answered in a previous question)
So like before, we have a ratio: 1.5inches:2.5feet
We have a starting value as well: 6 inches
All we have to do is convert from inches to feet (not with a real life equation, but with the given equation)
To begin, dvide 6 by 1.5
6inches/1.5inches = 4 (The units canceled out during division)
Not multiply by the ratio:
4 * 2.5feet = 10 feet (It takes the units in feet)
Therefore, the tree is actually 10 feet tall.
what is the answer of 380 x 690 estimate
Answer:
26200
Step-by-step explanation:
exactly 262200
Álgebra ajajajajajajajajaja
Please help me thank you!!
Answer:
what the hell
Step-by-step explanation:
need help with this algebra ii question
The parabola crosses the x-axis at x = 1 and x = -3.
x - 1 = 0
x = 1
x + 3 = 0
x = -3
b = 3
Hope this helps!! :)
Edward opens a new account and makes a deposit of $150. He then makes withdrawals of $10, $20 and $25, before depositing $30 more. What is the new balance?
each big square below represents one whole. what percent is represented by the shaded area?
Answer:
43%
Step-by-step explanation:
mark me as brainliest please
please help me with this sum
Answer:
lol no34532534
Step-by-step explanation:
Calculate the range of change and identify the y-intercept. who ever answer this gets ranked.
jerry runs at a speed of 9 feet per second. Write his speed as a rate
Answer:
is this what your looking for?
can anyone heelp me pls
Answer:
I think it's b.
Step-by-step explanation:
b. ,. ....
A.4/10
B.1/20
C.3/40
D.2/20
Answer:
it's C. 3/40
Step-by-step explanation:
ghjfrukkbf
1/5 x 7/8 in simplest form s
Answer:
[tex]\huge\boxed{\sf \frac{7}{40} }[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{1}{5} \times \frac{7}{8} \\\\= \frac{1 \times 7}{5 \times 8} \\\\= \frac{7}{40} \\\\Hence, this \ is \ the \ simplest \ form.\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
7/40
Step-by-step explanation:
7 cant go into 40 so it just stays as 7/40
what is the greatest common factor of 42, 12, and 6?
Answer:
The greatest common factor is surprisingly 6.
All three numbers can be divided by 6 and it is the highest value that can be taken from all three numbers.
Step-by-step explanation:
Hope this helps.
<3
Answer:
the GCF of those numbers is 6.
Step-by-step explanation:
One way to solve this is to list the factors of them, then find the greatest one that they share.
42: 1, 2, 3, 6, 7, 14, 21, 42
12: 1, 2, 3, 4, 6, 12
6: 1, 2, 3, 6
If we look at them, notice that six is in all of them. All of them have factors of six. Can we go any higher than that? No because six is the greatest factor of six, so we can't go any higher and still have all of them share a GCF. So your answer is 6.
Tap X can fill a bath in 12 minutes.
Tap Y can fill a bath in 6 minutes.
How long will it take to fill the bath with both taps running at the same time?
============================================================
Explanation:
Let's say that this tub is 72 gallons. I picked this number since 12*6 = 72. You can pick any number you want, but I picked this number so we end up with whole number results as shown below.
Tap X can fill the 72 gallon tub in 12 minutes. Its rate is 72/12 = 6 gallons per minute. Tap Y has a rate of 12 gallons per minute because 72/6 = 12.
Add the two unit rates: 6+12 = 18
If the two taps are opened at the same time, then they will work at a rate of 18 gallons per minute.
Let x be the number of minutes. The expression 18x represents how much of the tub is full after x minutes. Set this equal to the 72 we started with earlier and solve for x.
18x = 72
x = 72/18
x = 4
It will take 4 minutes if both taps are running at the same time.
Find the missing value so that the line passing through the points has the given slope.
(7,1) and (x,4); m = 3/4
Answer:
11
Step-by-step explanation:
4-1=3/11-7=4
find the approximate value of 2.49 and 2.98 when they are cubed
[tex]\huge\fbox\orange{S} \huge\fbox\red{C}\huge\fbox\blue{R}\huge\fbox\green{O}\huge\fbox\gray{L}\huge\fbox\purple{L>}[/tex]
[tex]\huge\underline\mathtt\colorbox{cyan}{2.49 cubed=15.438249}[/tex]
[tex]\huge\underline\mathtt\colorbox{red}{2.98 cubed=26.463592}[/tex]
If a unicorn went 200 miles how many feet did it take to get home?
Answer:1 mile traveled at the rate of 200 miles in 60 minutes. ... Therefore, it would take 18 seconds to travel 1 mile going at a speed of 200 miles per hour!
Step-by-step explanation:
A food scientist is developing a new recipe. He needs it to have between 3 and 5 teaspoons of sugar per serving and between 3 and 6 grams of fiber. Each teaspoon of sugar has 5 carbohydrates. Each gram of fiber counts as a carbohydrate when counting total carbohydrates. If the recipe already has 10 carbohydrates per serving from other sources, create a linear programming feasible region to minimize the total carbohydrates in the recipes nutrition profile.
Answer:
aaaaaaaa nad its by
Step-by-step explanation:
A pole that is 2.6 m tall casts a shadow that is 1.26 m long. At the same time, a nearby tower casts a shadow that is 37.25 m long. How tall is the tower?
Answer:
Step-by-step explanation:
The ratio of height to shadow length will be proportional.
2.6 / 1.26 = h / 37.25
h = 37.25(2.6)/1.26 = 76.865079...
h = 76.9 m
Find the value of (64)1/2x(125)1/3
A computer is on sale for 45% off the original price of $879. If you use the store credit card, you can receive an additional 10% off of the sale price.
What is the final price of the computer if you use the store credit card?
Answer:
$395.55
Step-by-step explanation:
45%+10%=55%
100%-55%=45%
Since 45% is 45/100 in fractions, use that x 879 for the final price.
45/100x879=395.55
Hope this helps! Thanks.
Answer:
435.11
Step-by-step explanation:
First find the sale price of the computer. Then take the additional 10% off of the sale price.