Answer:
D. 5
Step-by-step explanation:
Applying,
cos∅ = adjacent/Hypotenuse
From the diagram,
Given: ∅ = 45°, adjacent = s, hyptenuse = 5√2
Therefore,
cos45° = s/5√2
make s the subject of the equation
s = cos45°×5√2
s = (1/√2)(5√2)
s = 5
Hence the right answer is D. 5
examine the matrices below and use to answer questiom 12 and 13
x={3 -5} y= {6 7}
{-4 2} {-4 -3}
number 2 question
calculate x and y
A {9 12}
{0 1}
B {9 -12}
{0 -5}
c {9 -2}
{-8 -1}
D {9 2}
{-8 -1}
Answer:
d
Step-by-step explanation:
Answer this wuestion for me man
Answer:
The length of ribbon is [tex]\sqrt{32}[/tex].
Step-by-step explanation:
Length of the side of square = 4 inches
let the length of the diagonal is x.
By use of Pythagorean theorem
[tex]x^2 = 4^2 + 4^2 \\\\x =\sqrt {16 + 16}=\sqrt{32}[/tex]
Solve each triangle. Round your answers to the nearest tenth.
show work If possible
∠ABC = 76°
BC = 20.1
CA = 28.0
Step-by-step explanation:Solving the triangle means finding all unknown angles and sides of the triangle.
(i) Two of the angles (∠BCA = 60° and ∠CAB = 44°) are given. To find the third angle (∠ABC), use one of the theorems stating that the sum of angles of a triangle is equal to 180°.
Therefore, the sum of angles of the triangle ABC is 180°. i.e
∠ABC + ∠BCA + ∠CAB = 180°
=> ∠ABC + 60° + 44° = 180°
=> ∠ABC + 104° = 180°
=> ∠ABC = 180° - 104°
=> ∠ABC = 76°
(ii) One side (BA) of the triangle is given. To get the other sides, we use the sine rule as follows;
=> [tex]\frac{sin60}{25} = \frac{sin44}{BC} = \frac{sin76}{CA}[/tex]
=> [tex]\frac{sinBCA}{BA} = \frac{sinCAB}{BC} = \frac{sinABC}{CA}[/tex]
Substitute the necessary values
[tex]\frac{sin60}{25} = \frac{sin44}{BC} = \frac{sin76}{CA}[/tex] ---------------------(ii)
(a) To get side BC, use the first two terms of equation (ii)
[tex]\frac{sin60}{25} = \frac{sin44}{BC}[/tex]
Cross multiply
BC x sin 60 = 25 x sin 44
BC x 0.8660 = 25 x 0.6947
0.8660 x BC = 17.3675
BC = [tex]\frac{17.3675}{0.8660}[/tex]
BC = 20.05
=> BC = 20.1 to the nearest tenth
(b) To get CA, use any two terms of equation (ii). Using the first and third terms, we have;
[tex]\frac{sin60}{25} = \frac{sin76}{CA}[/tex]
Cross multiply
CA x sin 60 = 25 x sin 76
CA x 0.8660 = 25 x 0.9703
0.8660 x CA = 24.2575
CA = [tex]\frac{24.2575}{0.8660}[/tex]
CA = 28.01
=> CA = 28.0 to the nearest tenth
What’s the answer????????????
Answer:33
Step-by-step explanation:
trust
PLEASE ANSWER I NEED HELP SEE THE ATTACHMENT
Answer:
[tex]p=\frac{50}{360} 2\pi [8cm+(8-9)cm]+2(4.5cm)[/tex][tex]=19.0~cm[/tex]--------------------------
hope it helps...
have a great day!!
Copy and complete the statement using < or >
-7 or -8
Answer: -7
Step-by-step explanation:
Well since where going below degrees the answer would be -7 because it is closer to 1
What is the ordered pair for Point T?
A. (1,5)
B. (0,5)
C. (5,0)
D. (5, 5
Answer:
B.(0,5)
Step-by-step explanation:
Ordered pairs are written as (x,y)
x value of T is 0
y value of T is 5
Ordered pair for point T is (0,5)
En un curso, el 40 % de los alumnos reprobó un examen. Si el curso tiene 45 alumnos. ¿Cuántos alumnos aprobaron
Answer:
Cantidad de aprobados= 25
Step-by-step explanation:
Dada la siguiente información:
Reproado= 45%
Aprobado= 55%
Cantidad de alumnos= 45 alumnos
Para calcular la cantidad de aprobados, debemos utiliar la siguiente formula:
Cantidad de aprobados= cantidad de alumnos*porcentaje aprobados
Cantidad de aprobados= 45*0.55
Cantidad de aprobados= 25
Simply
7p2 x 3p
14p4
Answer:
[tex]{ \tt{ = \frac{7 {p}^{2} \times 3p}{14 {p}^{4} } }} \\ = { \tt{ \frac{21 {p}^{3} }{14 {p}^{4} } }} \\ = { \tt{1.5 {p}^{ - 1} }}[/tex]
I need help I’m stuck
There are 1,099 souvenir paperweights that need to be packed in boxes. Each box will hold 11 paperweights. How many boxes will be needed?
Answer:
1099/11=99.9
since you can't have 99 boxes, you round to 100 boxes.
you will need 100 boxes.
Find the mode of the data.
Length (inches) of fish in tank:
2, 3, 1, 4, 5, 2, 2
Mode: [?] in.
Answer:
The mode is 2
Step-by-step explanation:
Mathematically, the mode of a given data set represents the most recurring number or the number with the most count
Looking at the given dataset, we can see that the number 2 recurred 3 times
Compared with the other numbers, it has the most count
this means it is the mode of the given or displayed dataset
What angle is Framed below
60
Answer:
is there supposed to be an image?
have a good day :)
Step-by-step explanation:
Write the equation of the line in slope-intercept form
Answer:
y = 4/1 + 0
Step-by-step explanation:
we rise 4 units up and move 1 unit to the right
and the y intercept is 0 because its exactly in the center of x and y axis
Find the average rate of change (-4,-7)(-2,3)
From 1980 to 1990 the consumer price index increased from 82.4 to 130.7 if a bottle of dish soap cost 0.74 in 1980 and the price of dish soap increased at the same rate as the cpi from 1980 to 1990 by approximately how much did the price of the bottle of dish soap increase from 1980 to 1990
Answer:
$0.43
Step-by-step explanation:
Rate of increase = [(CPI in 1990 / CPI in 1980)^1/t] - 1
(130.7 / 82.4)^1/10
1.586165^0.1 = 1.047213 - 1 = 4.72%
Price of dish soap in 1990 = value in 1980 ( 1 + rate of increase)^10
0.74( 1.047213)^10 = 1.174
Price increase 1.174 - 0.74 = 0.43
What is -1.2 repeating as a mixed number
Answer:
[tex]-1\frac{2}{9}[/tex]
Step-by-step explanation:
_
y = - 1.2
_
y × 10 = - 1.2 × 10
_
10y = - 12. 2
_
10y = - 12. 2
- _
y = - 1.2
____________
9x = 11
9x ÷ 9 = 11 ÷ 9
[tex]x = -1\frac{2}{9}[/tex]
_
- 1.2 = - 1 2/9
what is the correct answer
The Answer is:
A. x = 4
If the sum of the measures of 21 and 22 is 180°, what is the sum of the measures of 23 and 24?
Answer:
180
Step-by-step explanation:
it is a quadrilateral that has 360 degrees in total. So if 1 and 2=180 then 3 and 4=360-180=180. Hope this is right.....
A parabola is defined by the equation x2 = 3/4 y. In which direction will the parabola open?
Which of the following is the area of a triangle pictured below
Answer:
(2) 22.44 cm^2
Step-by-step explanation:
A = bh/2
A = (8.8 cm)(5.1 cm)/2
A = 22.44 cm^2
Answer:
22.44 cm^2
Step-by-step explanation:
8.8 - 7.6 = 1.2
1.2 · 5.1 = 6.12 / 2 = 3.06
7.6 · 5.1 = 38.76 / 2 = 19.38
19.38 + 3.06 = 22.44 cm^2
A 20 ft. ladder is used against a 15 ft. wall. What is the measure of the angle made by the ladder and the ground (nearest whole degree)? How far is the ladder from the wall on the ground (to the nearest tenth)?
Step-by-step explanation:
Given that,
The length of a ladder, H = 20 feet
The height of the wall, h = 15 ft
We know that,
[tex]\sin\theta=\dfrac{h}{H}[/tex]
h is perpendicular and H is hypotenuse
So,
[tex]\sin\theta=\dfrac{15}{20}\\\\\theta=\sin^{-1}(\dfrac{15}{20})\\\\\theta=48.59^{\circ}[/tex]
Now using Pythagoras theoerm,
[tex]b=\sqrt{H^2-h^2}\\\\b=\sqrt{20^2-15^2}\\\\b=13.2\ ft[/tex]
Hence, the angle made by the ladder and the ground is 48.59° and the ladder is 13.2 feet from the wall on the ground.
if a:b=1:3 and b:c=5:8 what's a:c
need steps pls
Answer:
a:c=1:8
Step-by-step explanation:
a:b=1:3
therefore a=1 and b=3
b:c=5:8
therefore b=5 and c=8
then,
a:c=1:8
Answer:
a : c = 5 : 24
Step-by-step explanation:
[tex]a : b = 1 : 3\\\\\frac{a}{b} = \frac{1}{3} \ => b = 3a\\\\b : c = 5 : 8 \\\\ \frac{b}{c} = \frac{5}{8} \ => \ \frac{3a}{c} = \frac{5}{8}[/tex] [tex][substituting \ b = 3a ][/tex]
[tex]\frac{a}{c} = \frac{5}{24}[/tex]
[tex]=> a : c = 5 : 24[/tex]
what is the value of X in the isosceles trapezoid below?
Answer:
11
Step-by-step explanation:
If you are given a parallelogram with the top right and left corners each measuring 72* and the bottom right corner measuring 108*. What is the measurement of the missing corner, the bottom left corner of the parallelogram?
Answer: [tex]108^{\circ}[/tex]
Step-by-step explanation:
Given
The top left and right corners measures [tex]72^{\circ}[/tex] and the bottom right corner measures [tex]108^{\circ}[/tex].
Suppose the missing corner measures [tex]x[/tex]
So, the sum of the four angles of parallelogram is [tex]360^{\circ}[/tex]
[tex]\therefore x+72^{\circ}+108^{\circ}+72^{\circ}=360^{\circ}\\\Rightarrow x=360^{\circ}-252^{\circ}\\\Rightarrow x=108^{\circ}[/tex]
Therefore, the missing angle is [tex]108^{\circ}[/tex].
Match each vertex in ABC to its corresponding vertex in the dashed triangle.
A -> A
B -> E
C -> D
Theyre similar triangles, ABC = AED
The corresponding vertex of the similar triangles are
A ≈ A
B ≈ E
C ≈ D
The triangles ABC and AED are similar triangles
What are similar triangles?
If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be represented as ABC
Let the second triangle be represented as AED
The measure of AB = 3
The measure of AD = 8
The measure of AC = 4
The measure of AE = 6
Now , for the similar triangles , corresponding sides of similar triangles are in the same ratio
So ,
AB / AE = AC / AD
Substituting the values in the equation , we get
3/6 = 4/8
1/2 = 1/2
Therefore , the triangles are similar
Hence , the triangles ABC and AED are similar triangles
To learn more about similar triangles click :
https://brainly.com/question/29378183
#SPJ2
A scientist has a sample of the radioactive isotope bismuth-212. The isotope decays exponentially as shown in the table. Time (seconds) Mass (grams) 10 26.8 20 23.9 30 21.3 40 19.0 50 16.9 60 15.1 Which equation best represents the curve of best fit for this set of data? A. f(x) = 29 • 0.989x B. f(x) = 27 • 1.011x C. f(x) = 30 • 0.989x D. f(x) = 28 • 0.234x
Answer:
f(x) = 30 • 0.989x
Step-by-step explanation:
Given the data :
10 26.8
20 23.9
30 21.3
40 19
50 16.9
60 15.1
Using technology, the exponential model equation obtained by plotting the data is :
y = 30.068(0.989)^x
Based on the general exponential formula :
y = ab^x
y = predicted value
Initial value, a = 30.068
Rate = b = 0.989
The most appropriate model equation from the options given is :
f(x) = 30 • 0.989^x
what is the algebraic expression for 12 times a number x, plus a second number y ?
Answer:
12x + y
Step-by-step explanation:
Which of the following represents a constant from the expression given?
15x2 + 2x + 9
Answer:
9
Step-by-step explanation:
15x^2 + 2x + 9
A constant does not have a variable with it
15x^2 is the quadratic term
2x is the linear term
9 is a constant term
Answer:
The answer is 9.
someone already explained it lol
Lisa invested $2500 in a bank account. The account has an annual interest rate of 3.5%. How much money will be in the account after 15 years? Use the formula A(t) = P*e^rt to solve the problem. (round to the nearest hundredth)
Answer:
A = $ 4188.38
Step-by-step explanation:
A= $2500
r = 3.5% = 0.035
t = 15years
n = 1
[tex]A = P(1 + r)^t[/tex]
[tex]= 2500 ( 1 + 0.035)^{15}\\\\= 2500 (1.67535)\\\\= \$ 4188.38[/tex]