9514 1404 393
Answer:
5.87
Step-by-step explanation:
The tangent relation tells you ...
Tan = Opposite/Adjacent
tan(50°) = 7/BC
BC = 7/tan(50°)
BC ≈ 5.87
The discriminant if a quadratic equation is negative. One solution is 4 + 7i. What is the other solution? *
7 - 4i
4 - 7i
- 4 + 7i
7 + 4i
==========================================================
Explanation:
When you have a quadratic in the form ax^2 + bx + c = 0, where a,b,c are real numbers, then a negative discriminant leads to having a pair of complex roots. The roots come in conjugate pairs meaning that p+qi is one root while p-qi is the other root. The p,q are real numbers.
In the case of 4+7i being one root, we have p = 4 and q = 7, since it matches with p+qi. The other root must be 4-7i since it matches with p-qi.
In short, we flip the plus to a minus when going from 4+7i to 4-7i. All of this applies when we have a,b,c as real numbers.
If we allowed a,b,c to be complex numbers, then the roots may not necessarily come in conjugate pairs.
If a=8 and b=4, evaluate the following expression:2a−3b
Answer:
4
Step-by-step explanation:
2(8)-3(4)
16-12
4
If 30 buses can carry 1,500 people, how many people can 5 buses carry? A 200 © 500 B 250 D 750
Answer:
[tex]\boxed {\boxed {\sf 250 \ people}}[/tex]
Step-by-step explanation:
Let's set up a proportion using the following setup.
[tex]\frac {buses}{people}=\frac {buses}{people}[/tex]
We know 30 buses can carry 1,500 people.
[tex]\frac {30 \ buses}{1500 \ people}=\frac {buses}{people}[/tex]
We don't know how many people 5 buses can carry, so we say 5 buses carry x people.
[tex]\frac {30 \ buses}{1500 \ people}=\frac {5 \ buses}{x \ people}[/tex]
[tex]\frac {30 }{1500 }=\frac {5 }{x }[/tex]
Cross multiply. Multiply the numerator of the first fraction by the second fraction's denominator. Then, multiply the first denominator by the second numerator.
[tex]30*x=1500*5\\30x=7500[/tex]
Solve for x. It is being multiplied by 30. The inverse of multiplication is division. Divide both sides by 30.
[tex]30x/30=7500\\x=250[/tex]
5 buses can carry 250 people.
Giving brainliest to anyone who answers
in the diagram below A,B,C and D are points on a circle having center O.
PBT is a tangent to the circle at B
Reflex BOC=O1 =310 as shown in the diagram below
Calculate giving reasons the value of
D1
B3
B1 if it is given that A=60
D1=25°
B3=25°
B1=30°
Step-by-step explanation:
1. O1+O2=360°(revolution)
310°+O2=360°
O2=360°-310°
=50°
O2=2D1(centre theorem)
50°=2D1
D1=25°
2. D1=B3=25°(tan chord theorem)
3. B2+B3=A=60°(tan chord theorem)
B1+B2+B3=90°(Radius perpendicular Tangent)
B1+60°=90°
B1=90°-60°
=30°
A pyramid has a square base of length 8cm and a total surface area of 144cm². Find the volume of the pyramid. (Please use Pythagoras' Theorem thank you)
Answer:
[tex] \displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3} [/tex]
Step-by-step explanation:
we are given surface area and the length of the square base
we want to figure out the Volume
to do so
we need to figure out slant length first
recall the formula of surface area
[tex]\displaystyle A_{\text{surface}}=B+\dfrac{1}{2}\times P \times s[/tex]
where B stands for Base area
and P for Base Parimeter
so
[tex] \sf\displaystyle \: 144=(8 \times 8)+\dfrac{1}{2}\times (8 \times 4) \times s[/tex]
now we need our algebraic skills to figure out s
simplify parentheses:
[tex] \sf\displaystyle \: 64+\dfrac{1}{2}\times32\times s = 144[/tex]
reduce fraction:
[tex] \sf\displaystyle \: 64+\dfrac{1}{ \cancel{ \: 2}}\times \cancel{32} \: ^{16} \times s = 144 \\ 64 + 16 \times s = 144[/tex]
simplify multiplication:
[tex] \displaystyle \: 16s + 64 = 144[/tex]
cancel 64 from both sides;
[tex] \displaystyle \: 16s = 80[/tex]
divide both sides by 16:
[tex] \displaystyle \: \therefore \: s = 5[/tex]
now we'll use Pythagoras theorem to figure out height
according to the theorem
[tex] \displaystyle \: {h}^{2} + (\frac{l}{2} {)}^{2} = {s}^{2} [/tex]
substitute the value of l and s:
[tex] \displaystyle \: {h}^{2} + (\frac{8}{2} {)}^{2} = {5}^{2} [/tex]
simplify parentheses:
[tex] \displaystyle \: {h}^{2} + (4 {)}^{2} = {5}^{2} [/tex]
simplify squares:
[tex] \displaystyle \: {h}^{2} + 16 = 25[/tex]
cancel 16 from both sides:
[tex] \displaystyle \: {h}^{2} = 9[/tex]
square root both sides:
[tex] \displaystyle \: \therefore \: {h}^{} = 3[/tex]
recall the formula of a square pyramid
[tex]\displaystyle V_{pyramid}=\dfrac{1}{3}\times A\times h[/tex]
where A stands for Base area (l²)
substitute the value of h and l:
[tex] \sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times \{8 \times 8 \}\times 3[/tex]
simplify multiplication:
[tex] \sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times 64\times 3[/tex]
reduce fraction:
[tex] \sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{ \cancel{ 3 \: }}\times 64\times \cancel{ \: 3}[/tex]
hence,
[tex] \sf\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3} [/tex]
earring fell into the sink any suggestions?
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: Don't run the water, make sure not to touch the ring unless you are 100% sure you can get it, use a hook.
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Plzzzzzzzzzzzzzzz help
Answer:
(5,4)
Step-by-step explanation:
....................
Jen and Kim are together in the park. Jen walks 50 feet north while Kim walk 40 feet west. How far apart are they after their walk?
Answer:
30 ft
Step-by-step explanation:
This situation forms a right triangle
a ² +b ²= c ²
50 ² + 40 ²= c ²
2,500 + 1,600 = c ²
900 = c ²
√900 = √c²
30 = c
Question in the picture (disregard the choice)
Answer:
D
Step-by-step explanation:
Answer:
A is the right answer of your question but....
I m little bit doubtful about that
A rectangle measures 2 4/5 inches by 2 1/5 inches. What is its area?
The area of the rectangle that measures 2 4/5 inches by 2 1/5 inches is: 6.16 inches².
What is the Area of a Rectangle?Area of a rectangle = (length)(width).
Given the following:
Length of rectangle = 2 4/5 = 2.8 inchesWidth of rectangle = 2 1/5 = 2.2 inches.Area of the rectangle = (2.8)(2.2)
Area of the rectangle = 6.16 inches²
Learn more about the area of rectangle on:
https://brainly.com/question/25292087
#SPJ1
Convert: 8 quarts = _____ pints
Answer:
16
Step-by-step explanation:
Have a nice day :)
Answer:
8 quarts = 16 pints
Step-by-step explanation:
A Japanese decides to buy a vehicle from the United States. If the vehicle costs USD $40,000, how much is it in Japanese currency? USD$1.00 = JPY ¥109
a. ¥4,360,000
b. ¥366.97
c. ¥6,490,000
d. ¥509
Answer:
a
Step-by-step explanation:
can i get a brainliest
WORK PAGE: Show all of your work to find the measure of the arc.
P
O
39°
42°
S
R
The measure of arc RPQ IS
degrees.
istg if yall put any links-
Answer:
0?
Step-by-step explanation:
Which number below is an example of a natural number?
A.-2
B.2/5
C.3
D.4.5
Answer:
C
Step-by-step explanation:
find the eaxct value of b.
Answer:
b = 19
Step-by-step explanation:
To make it short and sweet, since one angle is 45 degrees and one angle is 90 degrees, the unknown angle is 45 degrees also. That makes it an isosceles triangle with both legs equal.
b = 19
Heya!
[tex] \underline{ \underline{ \text{Question}}} : [/tex] In the given [tex] \triangle[/tex] ABC , AE is the bisector of [tex] \angle[/tex] BAC. If BO [tex] \perp[/tex] AE and BM = MC , prove that OM [tex] \parallel[/tex] AC.
Answer:
this is your answer look it once.
Answer:
this is your answer look it once:
There are 100 chairs arranged for people to watch a band concert. If 92 chairs have people sitting in them during the concert, what percentage of the chairs are filled?
Cual es la respuesta?
Answer:
58°+90°+x=180°
148°+x=180°
x=180°+148°
x= 32° is your answer ☺️☺️☺️
Answer:
32
Step-by-step explanation:
Circle graphs are used to display information categorical or numerical
Answer:
it shows percentage of an item or anything else
Answer:
categorical
Step-by-step explanation:
A circle graph is a way of summarizing a set of categorical data or displaying the different values of a given variable.
Compute the perimeter of the figure below. Round to the nearest whole number.
А
5 units
B
10 units
с
12 units
D
14 units
Answer:
D
Step-by-step explanation:
2 * sqrt(8) + 2 * sqrt(18) = 14
A right prism has a volume of 65 cubic inches. The prism is enlarged so its height is increased by a factor of 20, but the other dimensions do not change. What is the new volume? A.1000 in .3 B.1300 in .3 C.1200 in. 3 D. 1100 in.3
Answer:
Volume of a right prism = 65 cubic inches
Its height is increased by a factor of 20.
To find:
The new volume of the prism if the other dimensions do not change.
Solution:
The volume of a prism is:
[tex]Volume=Bh[/tex]
Where, B is the base area and h is the height.
A right prism has a volume of 65 cubic inches.
[tex]65=Bh[/tex]
The height of prism is increased by a factor of 20. So, the new volume is:
[tex]Volume=B(20h)[/tex]
[tex]Volume=20(Bh)[/tex]
[tex]Volume=20(65)[/tex]
[tex]Volume=1300[/tex]
The volume of the new prism is 1300 in³.
Therefore, the correct option is B.
A one-dollar bill is 1 × 10–4 meter thick. How tall is a stack of 500 one-dollar bills?
Answer:
4996
Step-by-step explanation:
Help this help:)
500x10-4= 4996
Answer:
1 x 10 - 4 x 500 = 4,996 meters thick.
Step-by-step explanation:
Carmen purchased a prepaid phone card for $20. Long distance calls cost 6 cents a minute using this card. Carmen used her card only once to make a long
distance call. If the remaining credit on her card is $18.68, how many minutes did her call last?
00
minutes
Х
?
E
Answer:
22
Step-by-step explanation:
This is flipping a figure over the axis of symmetry. Every point has a corresponding point in the new image on the opposite side of the axis of symmetry, except when the point lies on the axis. It is called a ____.
first two letters re
Answer:
Reflection
Step-by-step explanation:
A reflection is if a shape was flipped to the other side. The side can be the x or y axis.
Answer:
Reflection
Step-by-step explanation:
Solve sqrt3 tan theta<-1 for 0
Answer:
\tan \left(θ\right)=\frac{\sqrt{3}}{3}
Step-by-step explanation:
The dot plot represents the frequency for the average miles per gallon expected for each car at a dealership. Which statement is TRUE? A) 20 is an outlier. B) The number of miles per gallon peaks at 24. C) 4 cars average less than 20 miles per gallon. Eliminate D) No car is expected to average between 33-37 miles per gallon.
Answer: the answer is d
Step-by-step explanation: I did the USA test prep
Answer:
D) No car is expected to average between 33-37 miles per gallon.
Step-by-step explanation: USATESTPREP
Pls help and stop using up my dang points;-;
Answer:
frog
Step-by-step explanation:
Round the number 74.054 to the nearest tenth
Answer:
74.054 rounded to the nearest tenth is equivalent to 74.1
Step-by-step explanation:
Since you're rounding 74.054 to the nearest tenth, you need to focus on the hundredths place. If the number on the hundredths place is greater than or equal to 5, then you round up. If not, keep the number in the tenths place the same. In this case, 5 is in the hundredths place, which means you need to round the 0 in the tenths place up by 1. So 74.054 rounded to the nearest tenths is equivalent to 74.1.
Look at photo I put
Answer:
The measure of Angle 2 would also be 57 degrees
Step-by-step explanation: