Answer:
x = 3
Step-by-step explanation:
Let the altitude from B to AC intersect at point D. Then BD is a height of the triangle with base AC
ΔABD is a 30-60-90 triangle since m∠A = 30
Therefore, AB = 2(BD) or BD = AB/2 = (x+3)/2
Area of the triangle = bh/2 = AC(BD)/2 = 4x(x + 3)/(2)(2)
= x(x + 3) = 18
[tex]x^{2} + 3x = 18[/tex]
[tex]x^{2} + 3x - 18 = 0[/tex]
(x + 6)(x - 3) = 0
x = -6 or x = 3
x cannot equal -6, so x = 3
In this exercise we have to use the knowledge of triangle to calculate the value of X, in this way we find that:
[tex]X=3[/tex]
In this way, we can write the treated area of the triangle as:
[tex]bh/2 = AC(BD)/2 = 4x(x + 3)/(2)(2)\\=x(x + 3) = 18\\x^2+3x=18\\x^2+3x-18=0\\(x+6)(x-3)=0\\x=-6 \ or \ x=3[/tex]
See more about triangle at brainly.com/question/25813512
Kevin has books and some empty boxes. He can put books in each box. How many boxes can he fill completely? How many books will be left over?
Word problem on quotient and remainder
Answer:
Step-by-step explanation:
first we need to know how many books and boxes kevin has.
How do you find zeros of a quadratic function?
Answer:
You find the zeros of a quadratic functions by factoring the function. And once you have factored the function you take the factors and flip the signs. For example, you have the factors (x-4) and (x+3).
Drop the parentheses and make x equal to zero.
x - 4 = 0 x - 3 = 0
Solve it like a one step equation.
x - 4 = 0 x - 3 = 0
+ 4 +4 +3 +3
= 4 = 3
Then turn into coordinates.
x y x y
(4,0) (3,0)
Note that the zero's are the x-intercepts. I labeled x above the first part of the coordinate to show where the x-intercepts should and the same with the y.
Step-by-step explanation:
Linda is training for a half marathon. She ran
3 34 miles Monday, 3 miles Tuesday, and 2 12 miles Wednesday. How many miles did she
run in those three days?
Answer:
8 14
Step-by-step explanation:
While unwrapping his birthday present, Marcos was very careful to not tear any gift-wrap. When he was done, he laid the gift-wrapping paper flat like shown. Assuming there was no overlapping paper, what was the Total Surface Area of the box his present was in?
What is the area to this??
Answer:
30 units squared
Step-by-step explanation:
1/2(base)(height)
base=10
height=6
1/2(10)(6) = 5*6 = 30!
Answer:
30
Step-by-step explanation:
6 * 10 =60 60/2 =30
Write two numbers that multiply to -14 and add to 13
Answer:
13, -1
Step-by-step explanation:
Answer:
14 minus negative 1 that would be 14 and -1
Step-by-step explanation:
Which group of three squares will form a right triangle when
joined at their vertices?
Answer:
Option ?) 17 cm, 15 cm, 8 cm
The assignment should have four options to choose from, but there is only a picture of two.
Step-by-step explanation:
None of the squares shown form a right triangle. To determine if sides form a right triangle, you use this formula:
a²+b²=c²
We are given two options in the picture.
Option A) 18, 10, and 8.
Option B) 12, 9, and 6.
So, now we need to apply the formula:
Option A)
║8² + 10² = 18²
↓
║64 + 100 = 324
↓
║FALSE
Option B)
║6² + 9² = 12²
↓
║36 + 81 = 144
↓
║FALSE
Both of these options are false. But, I decided to look up this assignment to check my answer. It turns out, there are 4 options, and you only had a picture of two. So, what's the answer?
There is an answer choice that shows 3 squares with the lengths of 17 cm, 15 cm, and 8 cm. This is the correct answer.
For proof, let's apply the formula:
Option ?)
║8² + 15² = 17²
↓
║64 + 225 = 289
↓
║TRUE
[Since the option isn't shown, I'll put a '?' so there is no confusion]
Guadalupe went shopping for a new pair of pants because of a sale. The store was offering a 25% discount. What number should she multiply the prices on the tags by to find the price she would have to pay, before tax, in one step?
Pls help me :)
Answer:
0.25 is the answer you just move the decimal of the percentage to the left 2 spaces
A rectangle has a length that is twice the width. The width is to be extended by 5 ft and the length by 3 ft, so the total area becomes 99 square feet. What was the original length?
Answer Choices:
4 ft
6 ft
8 ft
10 ft
12 ft
14 ft
16 ft
Answer:
hey work backwards then you will get the answer i can seem to get it
Step-by-step explanation:
Find the volume of the cylinder in terms of pi. The diagrams are not drawn to scale.
Height is 11m and radius is 1.9m
A. 75.449pi m3
B. 49.02pi m3
C. 41.8pi m3
D. 39.71pi m3
Answer:
D
Step-by-step explanation:
givens
r = 1.9 m
h = 11 m
Equation
V = pi * r^2 * h
Solution
V = pi * 1.9^2 * 11
V = pi * 3.61 * 11
V = pi * 39.71
V = 39.71 pi
write an expression that simplifies to x to the power of -4
Answer:
x⁻⁴ would be written as [tex]\frac{1}{x^{4} }[/tex] as it's simplified form
Hope this helps!
Answer:
1/x⁴
Step-by-step explanation:
We need to simplify the expression , x -⁴ .
We know that , if a number has negative power, then in order to convert , the negative power into positive , we will inverse ( reciprocal) and then put the positive power.=> x -⁴
=> (1/x) ⁴
=> 1⁴/ x ⁴
=> 1/x⁴
Hence the required answer is 1/x⁴ .In \triangle CDF,m\angle D=90\deg,m\angle C=29\deg△CDF,m∠D=90deg,m∠C=29deg and the length of the hypotenuse is 10 units. Using this information below, what is the length of CDCD? 5.5 units 4.8 units 8.7 units 2.9 units
Answer:
8 units
Step-by-step explanation:
Given
Hypotenuse CF = 10
m<C = 29degrees
m<D = 90degrees
m<F = 180 - (29+90)
m<F = 180 - 119
m<F = 61degrees
Since the side facing <F is CD, then;
Opposite = CD
using the SOH CAH TOA identity
sin 61 = opp/hyp
sin61 = CD/10
CD = 10sin61
CD = 10(0.8746)
CD = 8.746
Hence the length of CD is 8 units
please help me! ive been stuck on this for an hour and cant figure it out :(
Answer: 412 in
Step-by-step explanation: sorry if wrong
purple prism = y
green prism = x
136y in+ 276x in= 412
Help me with this please!!!!!!
Answer:
4√6
Step-by-step explanation:
cot60➜4√2/t
➜1/√3=4√2/t
➜t=4√2√3
➜t=4√6
Answer:
[tex]2\sqrt{2}[/tex] = t
Step-by-step explanation:
Sin(30) = t / [tex]4\sqrt{2}[/tex]
Sin(30) * [tex]4\sqrt{2}[/tex] = t
[tex]2\sqrt{2}[/tex] = t
Hope this helps!
Andrea tiene 40 dulces y los reparte entre sus seis amigos Cuántos dulces Le tocará a cada uno
Answer:
This is an english server.
Step-by-step explanation:
Respuesta :
siete porque 40/6 darian 6 y como sobran 4 le reparterian 1 a cada 1 por eso darian a a siete
Espero que te sirba
Which form most quickly reveals the vertex? I’ll give brainliest PLEASE HELP!!!
Answer:
its c my I wish u best of luck
Step-by-step explanation:
brainliest pls
Answer:
A
Step-by-step explanation:
A is in vertex form. It shows that when x = 1, y = -36 because [tex]4(x-1)^2[/tex] becomes 0. Thus, the answer is clearly A
Hope this helps
What function is graphed below?
Answer:
C: y=cot(x+pi/4)
Step-by-step explanation:
lets fine the answer
Month- Balance (dollars)
Jan 2014- -45
Feb 2014- 150
Mar 2014- 34
Apr 2014- 15
The table shows the balance of Kelly’s bank account at the beginning of each month.
The lowest balance Kelly had the beginning of any month was $ ______. The highest balance she had at the beginning of any month was $ ______
The lowest value is a negative number that is furthest away from zero and the highest balance is a positive number which would be the furstest away from zero.
January has the only negative value, so the lowest balance is -45 which was January 2014.
The highest is the largest positive value which is 150 which was February 2014
At the amusement park, Janine bought a bottle of water for $2. She also bought game tickets for $0.50 each. Janine spent a total of $15.
Which of the following equations can be used to find the number of game tickets, g. Janine bought?
O 0.509 + 2 = 15
O2g +0.50 = 15
O 0.50g - 2 = 15
O 2g -0.50 = 15
Answer:
15 = 2 + 0.5g
Total number of ticket purchase by Janine = 26
Step-by-step explanation:
Given:
Cost of water bottle = $2
Cost of each ticket = $0.50
Total amount spend by Janine = $15
Find:
Equation
Computation:
Assume;
Total number of ticket purchase by Janine = g
Total amount spend by Janine = Cost of water bottle + (Cost of each ticket)(Total number of ticket purchase by Janine)
15 = 2 + (0.5)(g)
15 = 2 + 0.5g
0.5g = 13
g = 13 / 0.5
Total number of ticket purchase by Janine = 26
PLEASE HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!
[tex]\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}[/tex]
The given figure is a rectangular prism, with dimensions : -
[tex]3.5 \: in[/tex][tex]6.5 \: in[/tex][tex]4 \: in[/tex]Now,
[tex] \large\boxed{ \mathrm{volume = l \times b \times h}}[/tex]
[tex]6.5 \times 4 \times 3.5[/tex][tex] \mathrm{91 \: in {}^{3} }[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
In the set of real numbers, the first number greater than -4 is -3.
true or false?
Answer:
........ true ...
obviously -3 is greater than -4
Answer:
False.
Step-by-step explanation:
There are many real numbers between -4 and -3. For example -3.5.
Which answer choice is it??
Answer:
communtative
explanation:
You can multiple in any order and it does not change the solution.
- 13.4h + 4.2h
It’s the last one pls help
Answer:
The correct answer is -9.2h
Answer:
-9.2h i hope you can use it
PLEASE HELP
Find the value of x in the triangle shown below.
Answer:
82^o
Step-by-step explanation:
74 + 24 = 98
180 - 98 = 82^o
Hope it helps!
Using the graph, determine the coordinates of the vertex of the parabola.
Answer:
(-4,-4)
Step-by-step explanation:
You can see the vertex from the graph
Answer:
(-4,-4)
Step-by-step explanation:
Vertex is the the point in which the graph originates from
What is the end behavior of the function f(x)=8x^5-3x^3 +8x+5
Answer:
x → +∞, y → +∞
x → -∞, y → -∞
Step-by-step explanation:
The trick to identify its behavior is to determine the degree of the function and the coefficient of the term with the highest exponent.
Negative coefficient and odd degree (x → +∞, y → -∞) (x → -∞, y → +∞).Negative coefficient and even degree (x → +∞, y → -∞) (x → -∞, y → -∞).Positive coefficient and odd degree (x → +∞, y → +∞) (x → -∞, y → -∞).Positive coefficient and even degree (x → +∞, y → +∞) (x → -∞, y → +∞).Please help me with this problem.
Answer:
c)
Step-by-step explanation:
her score represents the median and the median divides the data into halves (lower 50% and upper 50%)
An architect built a scale model of a new house using a scale in which 1.5 inches represents 3 feet. The height of the house is 21 feet. What is the height of the scale model in inches?
Answer:
architect built a scale model of a new house using a scale in which 1.5 inches represents 3 feet. The height of the house is 21 feet. What is the height of the scale model
The value of the height of the scale model in inches is,
⇒ 10.5 inches
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
An architect built a scale model of a new house using a scale in which 1.5 inches represents 3 feet.
And, The height of the house is 21 feet.
Now, We get;
The value of the height of the scale model in inches is,
⇒ 1.5 / 3 x 21
⇒ 1.5 x 7
⇒ 10.5 inches
Thus, The value of the height of the scale model in inches is,
⇒ 10.5 inches
Learn more about the divide visit:
https://brainly.com/question/28119824
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pls help me tysmmmm!!!
Answer:
I believe the answer is 5/1.
Step-by-step explanation:
Please don't hate me if I'm wrong!!!!!
The formula for finding slope is rise/run. Since you rise up 5 times and run once across the line, the slope is 5/1.
IT WOULD BE FANTABULOUSLY SWEET IF I COULD GET BRAINLIEST!!!!!!