If x = 10 units, y = 12 units, z = 12 units, and h = 8 units, then what is the surface area of the triangular prism shown above?
could you repost/answer with a picture?
Use the quadratic formula to solve the equation 2k(k+5)= -25
So, we need to solve the quadratic equation from quadratic formula as per the question, but before starting, let's first recall that, for any quadratic equation of the form ax² + bc + c = 0, the discriminant is given by D = b² - 4ac, and the value of x is given by :
[tex]{\boxed{\bf{x=\dfrac{-b\pm \sqrt{D}}{2a}}}}[/tex]Also, their are no real solutions of x i.e their are only imaginary values of x iff D < 0, equal and real roots iff D = 0 and real and distinct roots iff D > 0. So, let's convert the given equation to the standard form ax² + bx + c = 0 and then we will find the discriminant and then we will be solving for k ;
[tex]{:\implies \quad \sf 2k(k+5)=-25}[/tex]
[tex]{:\implies \quad \sf 2k^{2}+10k=-25}[/tex]
[tex]{:\implies \quad \sf 2k^{2}+10k+25=0}[/tex]
Now, on comparing this with the standard equation, we will get a = 2, b = 10 and c = 25, and then D = (10)² - 4 × 2 × 25 = 100 - 200 = - 100, now as D < 0, so their will be imaginary values of k, so now solving for k will yield by using the Quadratic Formula ;
[tex]{:\implies \quad \sf k=\dfrac{-10\pm \sqrt{-100}}{2\times 2}}[/tex]
[tex]{:\implies \quad \sf k=\dfrac{-10\pm 10\iota}{2\times 2}}[/tex]
[tex]{:\implies \quad \sf k=\dfrac{2(-5\pm 5\iota)}{2\times 2}=\dfrac{-5\pm 5\iota}{2}}[/tex]
[tex]{:\implies \quad \boxed{\bf{k=\dfrac{-5+5\iota}{2}\:\:,\:\: \dfrac{-5-5\iota}{2}}}}[/tex]
This is the required answer
Number two please asap
J
Step-by-step explanation:
both Rue and Zoe they earned that same amount after working for 4 hours as you see that both line both hit the point (4,24)
Which is greater -3 or -1/3 ?
Answer:
-1/3
Step-by-step explanation:
because it is a negative number and closer to zero than -3 is making it greater, becuase it is closer to a positive number.
Answer:
-1/3 is greater than -3
-3 < -1/3
Solve:........................
[tex] \frac{x}{3} + 4 = \frac{4x - 1}{5} [/tex]
Answer:
[tex] \frac{x}{3} + 4 = \frac{4x - 1}{5} \\ \\ \frac{x}{3} + \frac{12}{3} = \frac{4x - 1}{5} \\ \\ \frac{x + 12}{3} = \frac{4x - 1}{5} \\ \\ 3(4x - 1) = 5(x + 12) \\ \\ 12x - 3 = 5x + 60 \\ \\ 12x - 5x = 60 + 3 \\ \\ 7x = 63 \\ \\ x = \frac{63}{7} \\ \\ x = 9[/tex]
A number x when added to its half, is equal to its third increased by 35.
Answer:
x=30
Step-by-step explanation:
x = x
half of x = (1/2) x = "its half"
third of x = (1/3) x = "its third"
"A number x when added to its half" = x + (1/2)x
"its third increased by 35" = (1/3)x + 35
according to the prompt, these two are equal, so
x + (1/2) x = (1/3)x + 35
x = 1x = (2/2)x to match denominators
(2/2)x + (1/2)x = (1/3)x + 35
= (3/2)x
(3/2)x = (1/3)x + 35
subtract (1/3)x from both sides to isolate the variable and its coefficients
(3/2)x - (1/3)x = 35
multiply both sides by 6 as that is the lowest common multiple of both 2 and 3 (2*3 = 6 so 6 is a multiple of both)
9x - 2x = 35*6
7x = 210
divide both sides by 7 to isolate x
x = 30
Super easy 7th grade math worth a lot of points
Answer:
you can find the answer in the given attachment
Step-by-step explanation:
1-P
2-G
3-T
4-O
5-S
6-E
7-D
8-C
9-A
I need help I have to get to 80%
Answer:
118
Step-by-step explanation:
Because if you add 34 and 28 you get 62 then if you minus 62 from 180 you get 118. Then you get 180 because all of the angles have to equal 180 degrees.
Please answer all questions and show work for each step and each part (part A, part b, part c)
*50 points*
Answer:
Already answered in advance in the comments section
Step-by-step explanation:
Feel free to ask more questions if any!
The Window has the shape of a kite. How many square meters of glass were used to make the Window
The window that has the shape of a kite has the area of the glass as 648 centimetre squared.
What is area of a figure?Area can be defined as the space occupied by a flat shape or the surface of an object. Therefore,
The window is the shape of a kite. Therefore, the square meters of the glass used for the window is the area of the window(kite).
Therefore,
area of kite = ab / 2
where
a and b are the length of the diagonalTherefore,
a = 18 + 18 = 36 cm
b = 15 + 21 = 36 cm
area of the window = 36 × 36 / 2 = 1296 / 2 = 648 cm²
learn more on area here:https://brainly.com/question/2494000
Hi! I am pretty confused on how to solve this problem. Any steps would be great to help me understand it!
if 2x2 is 4 then why is 2+2 5????
Answer:
Simple it's not
Step-by-step explanation:
Answer:
wait.... 2x2 is 4 2 + 2 = 4?
Step-by-step explanation:
f(x) = x^2. What is g(x)?
A. g(x) = 2x^2
B. g(x) = (1/4 x)^2
C. g(x) = 1/2 x^2
D. g(x) = (1/2 x)^2
A: x+90=180
B: 2x+90=180
C: x-90=180
D: Not enough info
Answer:
(B) 2x + 90 = 180 is an equation that could be used to find x.
Step-by-step explanation:
Observing at the triangle, we can see that..
- We are aware of two angel measurements, both of which are 45 degrees.
One triangle is exactly 180 degrees and if you add both 2 angel measurements from the triangles...
45 + 45 = 90 degrees
180 - 90 = 90 degrees
As a result, we know that x = 90. Now we find the equation. Lets look at equation B. ( 2x + 90 = 180 )
Step 1 : 90 should be subtracted from both sides.
2x + 90 − 90 = 180 − 90
2x = 90
Step 2 : Divide both sides by 2.
(When I use the symbol /, it signifies I'm dividing.)
2x/2 = 90/2
x = 45
Step 3: Examine your solution to see whether it is right.
2x + 90 = 180
2(45) + 90 = 180
90 + 90 = 180 ✓
This shows that 2x + 90 = 180 is an equation that could be used to find x.
Hope this helps! :D
Corey deposits $3500 a bank which pays 3%
interest per year. How much money will John have in
his account after 10 years?
Answer:
35,000
Step-by-step explanation:
Answer:
Corey will have $4550.00 in is account after 10 years.
Step-by-step explanation:
This is simple interest. Here is the formula for simple interest.
[tex]A=P(1+r*t)[/tex]
A = Final Amount
P = Principal Amount
R = Interest Rate
T = Time
We are given values for P, r, and t. Lets solve for A.
To get 3 percent as a decimal divide it by 100. We get 0.03.
[tex]P=3500[/tex]
[tex]r=0.03[/tex]
[tex]t=10[/tex]
[tex]A=3500(1+0.03*10)[/tex]
[tex]A=3500(1+0.30)[/tex]
[tex]A=3500(1.30)[/tex]
[tex]A=4550[/tex]
Round your answer to the nearest hundredth.
Answer:
41.81°
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
The value of a car decreases linearly with time. The car was bought new for $62,000 and had a value of $41,000 after 6 years.
The price of an item has risen to $228 today. Yesterday it was $95. Find the percentage increase.
Answer:
140% increase
Step-by-step explanation:
Percent increase = [(final - initial) ÷ initial] · 100
[(228 - 95) ÷ 95] · 100
[133 ÷ 95] · 100
1.4 · 100
140
BRAINLIEST please if this helped!
I need a serious help!
I’ll give BRAINLIEST
Helen is N year old. Helen’s Brother is a year older than her.
a. Write n algebraic expression for the age of Helen’s brother
b. Find her brother’s age if Helen is age 12
C. Find her brothers age If Helen is x years old
Answer:
[tex] \fbox{ \sf A) Age of Helen’s brother = N+1} \\ \fbox{ \sf B) Age of Helen’s brother = 13 \: year \: old} \\ \fbox{ \sf C) Age of Helen’s brother = x+1} [/tex]
Step-by-step explanation:
Given:
Helen's age = N year old
Helen's brother = One year older than helen
To find:
a. Write n algebraic expression for the age of Helen’s brother
b. Find her brother’s age if Helen is age 12
C. Find her brothers age If Helen is x years old
Solution:
A)algebraic expression for the age of Helen’s brother = Helen’s age + 1 = N+1
[tex]\fbox{Age of Helen’s brother = N+1}[/tex]
B) if helen is 12 year old then, N = 12
substituting the value of N in above equation,
Age of Helen’s brother = N+1 = 12+1 = 13 y/o
[tex]\fbox{Age of Helen’s brother = \: 13 \: year \: old}[/tex]
C) if helen is x year old then, N = x
substituting the value of N in above equation,
Age of Helen’s brother = N+1 = x+1
[tex]\fbox{Age of Helen’s brother = x+1}[/tex]
Thanks for joining brainly community!
What is 5389 rounded off to the nearest 100?
Answer:
5400
Step-by-step explanation:
the 89 is higher then 5 so it would round the 3 up to a 4
Answer:
5389 rounded to the nearest 100 is 5400
Step-by-step explanation:
we round the number up to the nearest 100 if the last 2 digits of the number are 50 an d over we round the number down to the nearest 100 if the last 2 digets are 49 and below
Can someone tell me what I did wrong here
Answer:
no roots.
Step-by-step explanation:
1) [tex]\sqrt{8x+16}=2-8; \ - \ correct;[/tex]
2) [tex]\sqrt{8x+16}=-6; \ - \ correct;[/tex]
note, the value after operation 'square root' cannot be negative ('-6' is on the right side!), then
3) it means, the given equation has no real roots.
Find the area of each. Round to the nearest tenth.
Answer:
346.361 Yd^2 rounded to the nearest tenth is 346.4 Yd^2
Step-by-step explanation:
The area of a disk is A=π[tex]R^2[/tex] where R=10.5 yard.
Answer:
346.2 yd^2
Step-by-step explanation:
Area of a circle: π*r^2π = 3.14radius (r) = 10.5 ydπ*r^2 <== substitute the numbers for pi(π) and radius(r)
3.14*10.5^2
3.14*110.25
346.185 <== round to the nearest tenth
346.2 yd^2
Hope this helps!
Alyssa is enrolled in a public-speaking class. Each week she is required to give a speech of
greater length tharr the speech she gave the week before. The table below shows the
lengths of several of her speeches.
Alyssa's Speeches
Answer: this question search it up because i don't think and know if anyone knows this even i don't know so sorry
Step-by-step explanation:
Use substitution to solve the system.
- 3x+y = 14
2x + 3y = -2
음
Х
5
?
y = 0
Answer:
x= -4 and y=2
Step-by-step explanation:
-3x+y=14 ...eqn 1
2x+3y= -2....eqn 2
from eqn 1
-3x+y=14
y=14+3x
substitute y=14+3x into eqn 2
2x+3(14+3x) = -2
2x+ 42+ 9x = -2
11x= -2-42
11x= -44
x = -4
substitute X = -4 into eqn 1 to get y
-3x+y=14
-3(-4) +y =14
12+y= 14
y= 14-12
y =2
Estimate the sum of the decimals below by rounding to the nearest whole
number. Enter your answer in the space provided.
3.145
1.824
+ 7.769
Answer:
12.738
rounded to the nearest hundred is 12.74
Given the following functions, evaluate each of the following:
Answer:
1. -6
Step-by-step explanation:
f(x)=x²-9
g(x)= x-3
1. (f+g)(2) =
(2²-9)+(2-3) = (4-9)+(2-3) = (-5)+(-1)= -6
Please help me thank u!
Answer:
The odds of drawing a heart are 13:52
Explanation: A standard deck of card contains 52 card. There are 4 types of playing cards: clubs, diamonds, hearts and spades. Every type of them has 13 cards. How do u know that? Well just divide 52 by 4 and then you get 13.
In triangle ABC, what is the measure of A if a = 11, b = 13, and c = 7?
57.79°
49.62°
38.17°
32.21°
pls
Answer:
A= 57.79 degrees
B= 32.58 degrees
C= 89.63 degrees
Step-by-step explanation:
hope this helps!
Answer:
A. 57.79
Got it right on Plato
A map of utah has scale 1cm :30 mi the southern border is about 285 mi long how long is the border on the map
Answer:
9 1/2 inches
Step-by-step explanation:
The scale of a map is the ratio of map distance to represented distance. This can be used to write a proportion.
__
map distance/represented distance = 1 in/(30 mi) = x/(285 mi)
where x represents the map length of the southern border.
Multiplying by 285 mi, we have ...
x = (285 mi)(1 in)/(30 mi) = 9.5 in
The border is 9.5 inches on the map.