Answer:
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 52 =x /8
8 sin 52 =x
6.304086029 = x
Answer:
x=6.3
Step-by-step explanation:
simply
sin 52=x/8
cross multiply
8 sin 52=x
x= 8 x 0.7880
x= 6.3
If XYZ congruent to DEF the what corresponding angle is congruent to angle x (enter your answer using the angle letter only)
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
XYZ is congruent to DEF so:
X = D
Y = E
Z = F
what is 4.3347x10^4 in standard form?
Answer:
43347
Step-by-step explanation:
just move decimal to the right 4 times.
A gardening club has 21 members, of which 13 are males and the rest are females.What is the ratio of females to all club members?
Answer:
8:21
Step-by-step explanation:
Write an inequality for the situation.
all real numbers y that are less than 4 or greater than 9
y < 4 or y > 9
4 < y < 9
y < 4 or y < 9
y < 9 or y > 4
Answer:
y < 4 or y > 9
Step-by-step explanation:
The symbol < means less than, while the symbol > means greater than. So, the inequality y < 4 means that y is less than 4, and the inequality y > 9 means that y is greater than 9. When put together you have all real numbers y that are less than 4 or greater than 9.
there are four consecutive even numbers. The second number is represented by x. find the sum of four numbers in term of x
Answer:
Sum of the four numbers in terms of x would be 4x+4
Step-by-step explanation:
x-2 + x + x+2 + x+4 = sum
4x+4 = sum
Please someone help me if you can't that is okay but please try I am extremely desperate
Answer:
A
Step-by-step explanation:
2x + x = 3x
y - 3y = 2y
The product of two numbers is 1008 and their HCF is 12. The LCM of these numbers is (a) 75 (b) 78 (c) 84 (d) 96
Answer:
(c) 84
hope this helps!!!!
I need help with my geometry work!
Answer:
43 degrees
Step-by-step explanation:
What’s the answer????????????
Answer:33
Step-by-step explanation:
trust
ctividad 1:
Las edades de un grupo de niños son: 5, 5, 8, 4, 6, 6, 7, 5, 6, 7, 4, 8, 6, 5, 6, 8
Determina las Medidas de Centralización (Media, Mediana y Moda) y las medidas de Dispersión (Desviación media y Desviación estándar).
necesito ayuda
Respuesta:
Media = 6
Mediana = 6
Modo = 6
Desviación media = 1
Desviación estándar = 1.317
Explicación paso a paso:
Dados los datos:
5, 5, 8, 4, 6, 6, 7, 5, 6, 7, 4, 8, 6, 5, 6, 8
Datos reorganizados: 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8
La media: Σx / n = 96/16 = 6
El modo, = 6 (valor más alto que ocurre en los datos, valor de datos con la frecuencia más alta)
La mediana = 1/2 (n + 1) ésimo término
Mediana = 1/2 (17) término = 8.5 th término = (6 + 6) / 2 = 6
La desviación media = Σ (x - media) / n
Usando la calculadora, la desviación media = 1
La desviación estándar = √ (Σ (x - media) ² / n-1)
Desviación estándar = 1.317
Please please help me
Answer:
B) 27.2 m^2
Step-by-step explanation:
because to get the area of the parrelelogram, you use the formula (b)(h) or 6.8*4 to get 27.2.
PLEASE HELPP
1/4, 1/2, 1, 2 converging or diverging
Answer:
diverging
Step-by-step explanation:
A regular way to know if a series is converging or diverging, is to check is as the number of terms increase, the value of such terms also increase.
So, if for example, we have:
[tex]A_n > A_{n-1}[/tex]
We know that the series will not converge, because eventually the terms will be very large, and the series will diverge.
In this case we have the series:
1/4, 1/2, 1, 2
So each term is two times the previous one, thus, the n-th term will be larger than the n-th minus one term, so we can conclude that this series diverges.
Find csc 0, sin 0, and cot 0, where is the angle shown in the figure.
Give exact values, not decimal approximations.
PLZ HELP I BEEN STUCK FOR AN HOUR I WILL MARK BRAINLIEST!!!
Answers:
[tex]\csc(\theta) = \frac{7\sqrt{33}}{33}\\\\\sin(\theta) = \frac{\sqrt{33}}{7}\\\\\cot(\theta) = \frac{4\sqrt{33}}{33}\\\\[/tex]
=============================================
Explanation:
Before we can find the trig ratios, we need to determine the length of the missing side. Apply the pythagorean theorem
[tex]a^2+b^2 = c^2\\\\4^2+b^2 = 7^2\\\\16+b^2 = 49\\\\b^2 = 49-16\\\\b^2 = 33\\\\b = \sqrt{33}[/tex]
The vertical side is [tex]\sqrt{33}[/tex] units long.
------------------------------------
The side we just found is the opposite side to angle [tex]\theta[/tex] (greek letter theta)
The hypotenuse is 7 units long. The hypotenuse is always opposite the right angle.
Divide the hypotenuse over opposite to get the cosecant.
[tex]\csc(\theta) = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc(\theta) = \frac{7}{\sqrt{33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33}*\sqrt{33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33*33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33^2}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{33}\\\\[/tex]
Note: In the third step, I multiplied top and bottom by sqrt(33) to rationalize the denominator.
------------------------------------
Recall that sine is the reciprocal of cosecant, and vice versa.
So we'll use the same idea as before, but flip the original fraction.
[tex]\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{\sqrt{33}}{7}\\\\[/tex]
The denominator is already a rational number, so there's not much else to do here.
--------------------------------------
Cotangent is the ratio of adjacent over opposite
[tex]\cot(\theta) = \frac{\text{adjacent}}{\text{opposite}}\\\\\cot(\theta) = \frac{4}{\sqrt{33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33}*\sqrt{33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33*33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33^2}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{33}\\\\[/tex]
The steps are pretty much nearly identical as the section involving csc, except we're using the adjacent in place of the hypotenuse (so that means we use 4 in place of 7).
Find a round to the nearest tenth a 150 12 10cm c a=?cm
Answer:
[tex]Using~ the ~ law~ of ~sinse:-[/tex][tex]\frac{a}{SinA} =\frac{b}{SinB}[/tex][tex]\frac{a}{Sin150}[/tex][tex]=\frac{b}{SinB}[/tex][tex]a=\frac{10~sin~150}{Sin~12}[/tex][tex]a=[24] ~cm[/tex]-----------------------hope it helps..have a great day!!CAN SOMEONE HELP ME I HAVE LIKE LESS THAN 15 MINUTES TO FINISH
Experimental probability of the name Alex being drawn is 4/10
This is because out of the ten times a name was drawn, Alex was drawn four times.
If the experiment was repeated 1,000 times, Ella's name could be expected to be drawn 200 times.
This is because of the ten names drawn, Ella's name was drawn twice which is 20% and 20% of 1,000 is 200.
number 14 and 15 pls
Step-by-step explanation:
b= 140 ( alternate angle)
k = 130 ( veetically opposite angles)
may it help ub
Ms. Emily had a total of 428.5 ounces of pretzels to put into 5 bowls for a party. She put an equal number of ounces of pretzels into each bowl. How many ounces of pretzels did Ms. Emily put into each bowl?
Answer:
85.7 ounces.
Step-by-step explanation:
428.5/5 = 85.7
Therefore, Ms. Emily put 85.7 ounces of pretzels into each bowl.
Answer:
85.7 ounces
Step-by-step explanation:
428.5 ounces ÷ 5=85.7 ounces
Can someone explain the answer to 7.1x10^-3 ?
Answer:
[tex]{ \tt{7.1 \times {10}^{ - 3} }} \\ { \bf{negative \: means \: { \green{increase \: in \: decimal \: places}}}} \\ = { \tt{0.71 \times {10}^{ - 2} }} \\ = { \tt{0.071 \times {10}^{ - 1} }} \\ = { \tt{0.0071 \times {10}^{0} }} \\ { \boxed{ but \: {10}^{0} = 1}} \\ \therefore{ \tt{ = 0.0071 \times 1 = 0.0071}}[/tex]
12.
Find the value of x. If necessary, round to the nearest tenth.
A. 7.0 in.
B. 9.9 in.
C. 14.0 in.
D. 11.9 in.
Answer:
9.9 inches
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the length of the base and h is the length of the height
49 = 1/2 x*x
Multiply each side by 2
2*49 = x^2
98 = x^2
Take the square root of each side
sqrt(98) = sqrt(x^2)
9.899494937 =x
Rounding to the nearest tenth
9.9 =x
Just need some help please
Answer:
It is y = -4/5x - 2 because you go left 4 and down 5 which makes both negative. And of course it is minus two.
What is the product?
(x − 3)(2x2 − 5x + 1)
Answer:
5x2+20x−15
Step-by-step explanation:
Prove that the following four points will form a rectangle when connected in order
by showing the diagonals are congruent. Show all work.
A(0, -3), B(-4, 0), C(2,8), D(6.5)
Answer:
Step-by-step explanation:
If the diagonals of the rectangle are congruent,
AC = BD
By using formula to calculate the distance between two points,
Distance between two points = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between A(0, -3) and C(2, 8),
AC = [tex]\sqrt{(8+3)^2+(2-0)^2}[/tex]
= [tex]\sqrt{125}[/tex]
= [tex]5\sqrt{5}[/tex]
Similarly, distance between two points B(-4, 0) and D(6, 5),
BD = [tex]\sqrt{(5-0)^2+(6+4)^2}[/tex]
= [tex]\sqrt{125}[/tex]
= [tex]5\sqrt{5}[/tex]
Therefore, both the diagonals are congruent.
Hence, given quadrilateral ABCD is a rectangle.
How can you determine whether a linear binomial is a factor of a polynomial without using the remainder theorem?
A linear binomial is a factor of a polynomial if the polynomial value is 0 at the zeros of the linear binomial
How to determine the factor?Assume a polynomial function is
P(x) = (x - 3)(x + 1)(x -2)
And a linear binomial is:
x - 3 = 0
We start by calculating the value of x in x - 3 = 0
x = 3
Next, we substitute x = 3 in P(x) = (x - 3)(x + 1)(x -2)
P(3) = (3 - 3)(3 + 1)(3 -2)
Evaluate
P(3) = 0
Since P(3) = 0, then the linear binomial x - 3 is a factor of P(x) = (x - 3)(x + 1)(x -2)
Read more about remainder theorem at:
https://brainly.com/question/13328536
#SPJ1
Can anybody help me with this one ??
PLSS HELP ASAP WILL GIVE BRAINLIEST
Answer:
R (3,-2) S(5,2) T(6,0)
Step-by-step explanation:
54) Ashley and Nicole each improved their yards by planting daylilies and ornamental grass. They
bought their supplies from the same store. Ashley spent $43 on 2 daylilies and 3 bunches of
ornamental grass. Nicole spent $87 on 6 daylilies and 3 bunches of ornamental grass. Find the
cost of one daylily and the cost of one bunch of ornamental grass.
dalilar.
Answer:
Daylilies- $11, Ornamental grass- $7
Step-by-step explanation:
For this one, you want to convert this into simultaneous equations.
If we let d be cost of one daylily and o be cost of one bunch of ornamental grass, we can write the equations as 2d+3o=43 and 6d+3o=87.
From there, we can see they share a like term (3o), so we subtract one equation from the other (since they both are preceded by a +). This gives 4d=44.
Dividing both sides by 4 isolates d, leaving d=$11.
We can substitute this value into either equation to work out o (I'm using the first one as it is easier). This makes it 2×11+3o=43, or 22+3o=43.
From there, we subtract 22 from both sides, giving 3o=21, and dividing by 3 gives a final result of o=$7.
**This content involves writing and solving simultaneous equations, which you may wish to revise. I'm always happy to help!
All working out:
d- cost of one daylily o- cost of one bunch of ornamental grass
2d+3o=43 6d+3o=87
6d+3o=87
- - -
2d+3o=43
= = =
4d =44
÷4 ÷4
d =11
2d+3o=43
2×11+3o=43
22+3o=43
3o=21
o=7
!!PLEASE HELP 25 POINTS!! The graph of an absolute Value
Answer:
(-1, 8)
the value of a is 8
What are the solutions of the equation ( X -25 )^ 2 equals 36
Answer:
x = 31, x = 19
Step-by-step explanation:
[tex](x-25)^2=36\\\sqrt{(x-25)^2}=\sqrt{36}\\x-25=6 or -6\\\\x-25=6\\x=31\\\\x-25=-6\\x=19[/tex]
Work out the volume of this cylinder. Give your answer rounded to the nearest whole number.
Answer:
31793 cm^3
Step-by-step explanation:
Equation
Volume = [tex]\pi[/tex] * r^2 * h
Givens
d = 2*r
d = 30
r = 15
h = 45
[tex]\pi[/tex] = 3.14
Solution
V = 3.14 * 15^2 * 45
V = 31793 rounded.
Expand. If necessary, combine like terms. (x+3)(x-3)=
Answer:
[tex] {x}^{2} - 9[/tex]
Step-by-step explanation:
[tex](x−3)(x+3)[/tex]
[tex]x(x+3)−3(x+3)[/tex]
[tex]x \times x+x \times 3−3x−3 \times 3[/tex]
[tex]x \times x−3 \times 3[/tex]
[tex] {x}^{2} - 9[/tex]
Hope it is helpful....