Answer:
40
Step-by-step explanation:
A rhombus diagonals form perpendicular angles. It also bisects and form 4 right triangles. Looking at triangle MAS, we can use pythagorean theorem to find the side MA.
[tex]ms {}^{2} + sa {}^{2} = {ma}^{2} [/tex]
ms=6, sa =8 so we plug that in.
[tex]6 {}^{2} + {8}^{2} = ma {}^{2} [/tex]
Simplify
[tex]36 + 64 = ma {}^{2} [/tex]
[tex]100 = ma {}^{2} [/tex]
take sqr root
[tex] \sqrt{100} = ma[/tex]
[tex]ma = 10[/tex]
Now let find the perimeter
Since perimeter of a Rhombus is 4a where a is the length of a side. We plug it in
[tex]4(10) = 40[/tex]
The answer is 40
Given an initial quantity Q0=150 and a growth rate of 7% per unit time, give a formula for the quantity Q as a function of time t, and find the value of the quantity at t=10.
a) Assume the growth rate is not continuous. Round your answer for Q(10) to three decimal places.
Q(t)=
Q(10) =
b) Assume the growth rate is continuous. Round your answer for Q(10) to three decimal places.
Q(t)=
Q(10)=
Answer:
Step-by-step explanation:
From the given information:
(a)
Since growth quantity is not continuous
[tex]Q(t) = 150 (1.07)^t[/tex]
For t = 10
[tex]Q(10) = 150 (1.07)^{10}[/tex]
[tex]\mathbf{Q(10) = 295.073}[/tex]
(b)
Here, for a continuous growth rate, the growth quantity can be computed in terms of initial quantity and the growth rate.
i.e.
[tex]Q(t) = 150 e^{0.07t}[/tex]
At t = 10 for a continuous growth rate;
[tex]Q(10) = 150 e^{0.07 \times 10}[/tex]
[tex]Q(10) = 150 e^{0.7}[/tex]
[tex]\mathbf{Q(10) = 302.063}[/tex]
Emily is three years older than Carla and five years younger than Dante. if Carla is c years old, how old is Dante in terms of c?
A. c + 6
B. c + 8
C. c + 10
D. 2c + 3
E. 2c + 5
Answer:
I think that Dante is
D. 2c +3
hope this helps
Answer:
B
Step-by-step explanation:
Emily is three years older than Carla so
Emily = C + 3
Emily is 5 years older than Dante so
Dante is (C + 3) +5
which is C + 8
NEED HELP ASAP!!! for geometry class
Answer:
B) AAS
Step-by-step explanation:
B) AAS
2+5x+1/2x^3dx
Answer
Answer:
[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}+C[/tex]
Step-by-step explanation:
I notice you have a dx at the end of the equation, this leads me to believe this is an integral. With no bounds of integration, I will solve for the indefinite integral. I will also interpret your equation as follows:
[tex]\int \:2+5x+\frac{1}{2}x^3dx[/tex]
Sum rule tells us:
[tex]\int \:2dx+\int \:5xdx+\int \frac{1}{2}x^3dx[/tex]
From this we get:
[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}[/tex]
Don't forget to add the constant!
[tex]2x+\frac{5x^2}{2}+\frac{x^4}{8}+C[/tex]
i need help asappppp
Answer:
he ran (7/8)
Step-by-step explanation:
first, you add the two fractions ( i did mine with a calculator) 1.125 or 9/8
then you subtract 2 from the sum that you got
then boom there your answer
Solve for the value of n.
Answer:
3n-4= 44
3n=40
no u can solve
Answer:
17°
Step-by-step explanation:
3n - 5° + 90° + 44° = 180° { being linear pair }
3n + 129° = 180°
3n = 180° - 129°
3n = 51°
n = 51° / 3
n = 17°
Hope it will help :)
Evaluate the expression [2³ ×(140 ÷ 7)] - 32
Answer:
128
Step-by-step explanation:
(2³) (140/7)-32 =128
Answer:
128
Step-by-step explanation:
[2³ ×(140 ÷ 7)] - 32
[2³ ×( 20)] - 32
[8×(20)] - 32
[160] - 32
128
The difference of the square of a number and 10 is equal to 3 times that number. Find the negative solution.
Answer:
-2
Step-by-step explanation:
Let's call the number x. The statement tells us that
x^2 - 10 = 3x, or
x^2-3x-10 = 0
Factoring:
(x-5)(x+2) = 0. Here, we see that there are two solutions: x = 5 and x = -2. So, the negative solution is x = -2.
What is the slope of the equation y- 5 = -3x?
Answer:
-3/1
Step-by-step explanation:
It's always the x value over the y value, so whatever's in the x
Answer:
-3
Step-by-step explanation:
the equation is y=-3x+5, so m=-3
How many 1/4 cup servings are in 3 cups of pasta?
Answer:
12
Explanation:
1/4 × 12 = 3
Answer:
12
Step-by-step explanation:
1 cup -> 4 [tex]\frac{1}{4}[/tex] cups
3 cups -> 3 x 4 [tex]\frac{1}{4}[/tex] cups
= 12 [tex]\frac{1}{4}[/tex] cups
Alex ate 1/3 of a pizza. Katelyn ate 2/7 of the same pizza. How much larger of a portion did Alex eat than Katelyn?
Answer:
1/21
Step-by-step explanation:
1/3 - 2/7 = 7/21 - 6/21 = 1/21
Hope I helped!
Rayna has 5 pounds of ground beef to make hamburgers for a picnic. Each hamburger uses 1/4 pound of ground beef. How many hamburgers can Rayna make?
The hypotenuse of a right triangle measures 15 cm and one of its legs measures 4 cm.
Find the measure of the other leg. If necessary, round to the nearestytenth.
Answer:
14.5 cm
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
c = hypotenuse (15)
to solve for b (other leg), the equation is b^2 = c^2-a^2
15^2 - 4^2 = 209
[tex]\sqrt{209}[/tex] = approx. 14.5
the other leg is (rounded to the nearest 10th) 14.5 cm
What is the distance between the points (2, 1) and (14, 6) on a coordinate
plane?
Answer:
the answer is 13 units
Step-by-step explanation:
You drinking soda while playing a video game. You drank 4 full drinks over 3 1/3 rounds. If you drank the same amount each round, how much did you drink each round?
Johnson has recently opened his workshop at the main street of a major city in the North East. Johnson estimates about 20 cars arriving at his workshop for repairs every day. Based on industry data, he estimates that 40% of the arrivals will agree to have the work repaired at his workshop. His average daily cost at the workshop is $1200. He expects to make a revenue of $200 for each car that is repaired. Johnson would like to know the following information:____________
a) The probability that no car will arrive at his workshop for repair on a given day.
b) The probability that he will have at least 4 cars to repair on a given day.
c) The expected daily profit assuming that he is able to repair all the arriving cars in a day.
d) Develop a probability distribution for this problem.
What is the area of the Rhombus
What is 1 + 1 :)))))) EZ 100
Answer:
2
Step-by-step explanation:
You add i guess? Umm, seems pretty hard to explain such a simple question, lol
Answer:
2
Step-by-step explanation:
hurry answer quick I need help
Answer:
Step-by-step explanation:
Can u help me too
What are all the factors of 142
Answer:
142 is a composite number. Factor pairs: 142 = 1 x 142 or 2 x 71. Factors of 142: 1, 2, 71, 142. Prime factorization: 142 = 2 x 71
Answer:
1, 2, 71, 142
Pairs would be (1 x 142), (2 x 71), (71 x 2), (142 x 1)
Step-by-step explanation:
I would appreciate it if someone could help me
The equation of line WX is y = −2x − 5. Write an equation of a line perpendicular to line WX in slope-intercept form that contains point (−1, −2).
Answer:
Step-by-step explanation:
y = -2x - 5.....slope here is -2. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we will need is : 1/2. See how I flipped the slope of -2/1 and changed it to -1/2.....now I change the sign making our new slope be 1/2.
y = mx + b
slope(m) = 1/2
(-1,-2).....x = -1 and y = -2
now sub and find b, the y int
-2 = 1/2(-1) + b
-2 = -1/2 + b
-2 + 1/2 = b
-4/2 + 1/2 = b
-3/2 = b
so ur perpendicular line is : y = 1/2x - 3/2
Answer:
y = -2x - 5
m = -2
Step-by-step explanation:
The perpendicular line has a negative reciprocal slope.
m = 1/2
You are also given a point, so use the point slope formula.
y - y1 = m(x - x1)
y + 2 = 1/2(x + 1)
y + 2 = 1/2x + 1/2
y = 1/2x - 3/2
So the line perpendicular to y = -2x - 5 in slope intercept form is:
y = 1/2x - 3/2
or
y = 0.5x - 1.5
After Halloween, pumpkins were 25% off. Amy bought 2 big
pumpkins that were originally $7 each. How much did she
spend (before tax)?
What is the solution for the equation shown below?
x^2+4=0
You can spend no more than $112 on a party you are hosting. The cost per guest is $8.
Choose an inequality that represents the number of guests (x) you can invite to the party.
8 + x > 112
8x > 112
8x < 112
8x > 112
Answer:
here hope it works
Step-by-step explanation:
Solve for X.
Х
3 ft.
6 ft.
9 ft.
what is the image point of (0,8) after a translation right 3 units and down 5 units
Answer:
(3,3)
Step-by-step explanation:
(0+3,8-5)
(3,3)
HELP PLEASE!!!
14 + 3x = 8x − 3(x − 4)
Also show work
Answer:
x=1
Step-by-step explanation:
14+3x=8x-3(x-4)
How can you rewrite a^7 using exponent rules?
1/4 K +1/4 M -2/3 K +5/9 M simplified
Answer:
-5/12k -11/36m
Step-by-step explanation: