Answer:
3.9
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 +b^2 =c^2 where a and b are the legs and c is the hypotenuse
7^2 + h^2 = 8^2
49 + h^2 = 64
h^2 = 64-49
h^2 = 15
Taking the square root of each side
sqrt(h^2) = sqrt(15)
h = 3.87298
To the nearest tenth
h = 3.9
Which inequality is true?
Answer:
[tex]\boxed{\sf Option \ C \ is \ correct .}[/tex]
Step-by-step explanation:
We need to tell which of the given inequality is true . The given inequalities are ,
[tex]\sf A)\pi + 8 <11\\\\\sf B) \dfrac{\pi}{8} > 2 \\\\\sf C) 3\pi > 9 \\\\\sf D) 2\pi - 1 < 5 [/tex]
Let's check the options one by one .
Option A :-
[tex]\sf\longrightarrow \pi + 8 < 11[/tex]
Subtract 8 to both sides ,
[tex]\sf\longrightarrow \pi < 11 - 8 [/tex]
Simplify ,
[tex]\sf\longrightarrow \pi < 3[/tex]
We know the approximate value of pi 3.14 . But the inequality says pi is less than 3 . Therefore the given inequality is incorrect .
______________________________________
Option B :-
[tex]\sf\longrightarrow \dfrac{\pi}{2} > 2 [/tex]
Multiply both sides by 2 ,
[tex]\sf\longrightarrow \pi > 4 [/tex]
We know the approximate value of pi 3.14 . But the inequality says pi is more than 4 . Therefore the given inequality is incorrect .
______________________________________
Option C :-
[tex]\sf\longrightarrow 3 \pi > 9[/tex]
Divide both sides by 3 ,
[tex]\sf\longrightarrow \pi < 9/3[/tex]
Simplify ,
[tex]\sf\longrightarrow \pi > 3 [/tex]
We know the approximate value of pi 3.14 .And the inequality says pi is more than 3 . Therefore the given inequality is correct .
Option C is correct .
If 4 over 7 ton of concrete covers 7 over 8 of a bridge, how many tons of concrete are required to cover the entire bridge?
Answer:
Your answer would be 32/49.
Step-by-step explanation:
4/7 tons = 7/8 x
4/7 / 7/8
32/49
The tons of concrete are required to cover the entire bridge is 32/49 tons.
What are fractions?A fraction is a non-integer that is made up of a numerator and a denominator. An example of a fraction is 4/7.
How many tons is needed to cover the whole bridge?To determine this value, divide 4/7 by 7/8
4/7 ÷ 7/8
4/7 x 8/7 = 32/49 tons
To learn more about the division of fractions, please check: https://brainly.com/question/25779356
Evaluate function from their graph
This is because the point (0,5) is shown on the graph. This is the point on the y axis.
We can say that h(x) = 5 when x = 0.
Answer:
5
Step-by-step explanation:
The fellow who expalined it before before me expalined it correctly, so the answer should be 5.
Hello again guys I need help with the highest common factor of 12x³yz⁵;16x⁴y³z²
Answer:
hello,
Step-by-step explanation:
a=12*x³yz⁵=4*3*x³yz⁵
b=16*x⁴y³z²=4*4*x⁴*y³*z²
hcf(a,b)=4*x³*y*z²=4x³yz²
What is the value of x?
750
37°
verify a(b-c)=ab-ac for a=1.6;b=1/-2;& c=-5/-7
Given:
[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]
To verify:
[tex]a(b-c)=ab-ac[/tex] for the given values.
Solution:
We have,
[tex]a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}[/tex]
We need to verify [tex]a(b-c)=ab-ac[/tex].
Taking left hand side, we get
[tex]a(b-c)=1.6\left(\dfrac{1}{-2}-\dfrac{-5}{-7}\right)[/tex]
[tex]a(b-c)=1.6\left(-\dfrac{1}{2}-\dfrac{5}{7}\right)[/tex]
Taking LCM, we get
[tex]a(b-c)=1.6\left(\dfrac{-7-10}{14}\right)[/tex]
[tex]a(b-c)=\dfrac{16}{10}\left(\dfrac{-17}{14}\right)[/tex]
[tex]a(b-c)=\dfrac{8}{5}\left(\dfrac{-17}{14}\right)[/tex]
[tex]a(b-c)=-\dfrac{68}{35}\right)[/tex]
Taking right hand side, we get
[tex]ab-ac=1.6\times \dfrac{1}{-2}-1.6\times \dfrac{-5}{-7}[/tex]
[tex]ab-ac=-\dfrac{16}{20}-\dfrac{8}{7}[/tex]
[tex]ab-ac=-\dfrac{4}{5}-\dfrac{8}{7}[/tex]
Taking LCM, we get
[tex]ab-ac=\dfrac{-28-40}{35}[/tex]
[tex]ab-ac=\dfrac{-68}{35}[/tex]
Now,
[tex]LHS=RHS[/tex]
Hence proved.
The area of a square, a, depends on its side length, s.
The
is a function of
The function
notation is
_(_).
Answer:
Let area be a and side be s :
[tex]{ \tt{a \: \alpha \: s²}} \\ a = ks²[/tex]
k is a constant, k=1
Mercedes tiene una habilidad increíble al encontrar el número que falta; ella sólo suma y ya tiene la respuesta correcta, ¿Cuál es el valor de x? 32 10 41 22 10 33 53 16 62 25 x 25
El ejercicio completo es el siguiente:
Mercedes tiene una habilidad increíble al encontrar el número que falta; ella solo suma y ya tiene la respuesta correcta.
¿Cuál es el valor de x?
32 10 41
22 10 33
53 16 62
25 (x) 25
A) 10
B) 11
C) 12
D) 13
E) 14
Answer:
La respuesta correcta es E: 14
Step-by-step explanation:
El ejercicio nos da una pista importante: solo sumar, así que al mirar la ubicación de la variable x podemos deducir que los valores del centro son el resultado de una suma, ahora para saber si es cierto ,debemos hacer la prueba,entonces empezamos a sumar los dígitos por separado de los valores dados ;
32 10 41 = 3+2+4+1 esto es igual a 10 el valor del centro
22 10 33= 2+2+3+3 esto es igual a 10 el valor del centro
53 16 62 = 5+3+6+2 esto es igual a 16 el valor del centro
Por lo tanto para hallar el valor de x debemos hacer lo mismo:
25 x 25 = 2+5+2+5 esto es igual 14
Entonces nos queda : 25 14 25= 2+5+2+5 igual a 14
12X12= ___+144-88=___
If the product of two numbers is 1800 and its H.C.F. Is 30, find the L.C.M.
Answer:
LCM = 60
Step-by-step explanation:
Product = HCF × LCM
1800 = 30 × LCM
LCM = 1800/30
∴ LCM = 60
Please help I don’t understand how to solve this !
Answer:
x = 30
Step-by-step explanation:
x + 2x + 3x = 180
6x = 180
6 6
x = 30
If 3x−y=12, what is the value of
8x
--
2y
Answer:
wait few minutes i will try
Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 26 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was 3 years with a standard deviation of 1.8 years.Suppose that it is somehow known that the population standard deviation is 1.5. If you were conducting a hypothesis test to determine if the mean length of jail time has increased, what would the null and alternative hypotheses be? The distribution of the population is normal.(a) null hypothesis H0: μ = 2.5 yearsH0: μ = 3 years H0: μ > 3 yearsH0: μ ≥ 2.5 yearsH0: μ = 1.8 years(b) alternative hypothesis Ha: μ ≠ 2.5 yearsHa: μ > 3 years Ha: μ ≥ 1.8 yearsHa: μ ≤ 3 yearsHa: μ > 2.5 years
Answer:
The null hypothesis is [tex]H_0: \mu = 2.5[/tex].
The alternative hypothesis is [tex]H_1: \mu > 2.5[/tex]
Step-by-step explanation:
Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years.
At the null hypothesis, we test if the mean is of 2.5 years, that is:
[tex]H_0: \mu = 2.5[/tex]
A study was then done to see if the mean time has increased in the new century.
At the alternative hypothesis, we test if the mean has increased, that is, if it is above 2.5 years. So
[tex]H_1: \mu > 2.5[/tex]
solve the equation
[tex]log10 \: ( {x}^{2} - 3x + 12) \: = 2[/tex]
Answer:
x=11
Step-by-step explanation:
please the answer is proved in the diagram above
Porfa es para un examen xD
Answer: -13
Step-by-step explanation:
M(3) → x = 3M(2) → x = 2[tex]\frac{M(3)+M(2)}{2} =\frac{[-2(3)^{2}] +[-2(2)^{2}]}{2}=\frac{(-2)(9)+(-2)(4)}{2}=\frac{-18-8}{2}=\frac{-26}{2}=-13[/tex]
Calculate the area of the triangle with the following vertices. Include the matrix with your work. (-5, 1), (2, 9), and (-5, 9)
Answer:
good luck :)
Step-by-step explanation:
guys, please help its graph-related. please i will dieeee
(a) Dilation is the process of extending the line segment AB to the longer one A'B'. The scale factor has to be larger than 1, and also it has to be positive.
(b) To get the dilation factor, you should first compute the length of AB, then compare it to the length of A'B'.
A is the point (-4, 2), and B is the point (2, -4). So the length of AB is
√((-4 - 2)² + (2 - (-4))²) = √((-6)² + 6²) = √72
A' is the point (-8, 4) and B' is (4, -8). The coordinates of A' and B' are twice the coordinates of A and B, so the distance is
√((2(-4) - 2(2))² + (2(2) - 2(-4))²) = √(2²×72) = 2√72
Then the dilation factor is
(2√72) / √72 = 2
As for dying, don't worry about it. It happens to everyone.
(b) If n(U)= 300, n(M) = 150, n(T) = 144 and n( MT)= 33. Find the value of n(MUT). (ii) Present the above information in a Venn diagram.
Answer:
Step-by-step explanation:
n(M ∪ T) = n(M) + n(T) - n(M∩T)
= 150 + 144 - 33
= 294 - 33
= 261
two similar triangular prisms have surface areas of 64cm2 and 144cm2(the 2 means square) respectively. a.find the ratio of their heights. b. The height of the smaller prism is 49cm,find the height of the larger prism.
Answer:
a.The ratio of the heights is the square roots of the both of them √64 and √144
which is 8 and 12
b.To find the height of the larger prism you use the ratio of the heights,in a ratio and proportion
8 - 49
12-x
8x/8=588/8
x=73.5
I hope this helps
PLS HELP 10 POINTS!!!
Identify the term whose coefficient is -12 in the expression:
98x – 12xy2 - 15xy2
Answer:
[tex] - 12xy {}^{2} [/tex]
Step-by-step explanation:
A coefficient is a rational number in front of multiple consecutive terms.
(Question is in the image)
please I really need help
Answer:
c
Step-by-step explanation:
The period is 1 complete cycle of the wave, before repeating.
1 cycle is from - 6 to - 2 , then
period = 4 → c
For what values of x does 25^x = 5^x^2^-3?
The correct option is Second Option
#CarryOnLearning
❦︎Park Hana Moon
when I add a number to another number four times as big, the result is 30. find the first number
Answer:
x = 6
Step-by-step explanation:
Let x = first number
x+4x = 30
5x = 30
Divide by 5
5x/5 =30/5
x = 6
Let's assume the number is N
According to the question,
when I add a number to another number four times as big, the result is 30.
[tex]x+4x=30\\\\5x=30\\\\x=\dfrac{30}{5}\\\\x=\frak{6}[/tex]
On circle O below, SE is a diameter. What is the measure of angle ISE?
Answer:
Angle LIS is congruent to angle DIE making both of them 61°, angle LID and angle SIE are congruent as well. When you add LIS, DIE, LID, and SIE all add to 360°. So 61+61 equals 122. 360-122 is 238. You divide 238 by 2 to get 119. That will be the measure of angle SIE. A triangle is a total of 180° so add up the angles 27° + 119° to get 146°. Subtract that from 180° to get 34°.
34° is the measure of ISE
Hope this helps!
Step-by-step explanation:
You are an avid coin collector. You decide to start keeping better track of your coin collection:after 15 days you count and find out you have 155 coins. After 22 days,you have 218 coins. Write an equation in point-slope form
9514 1404 393
Answer:
y - 155 = 9(x -15)
Step-by-step explanation:
The given points are ...
(days, coins) = (15, 155) and (22, 218)
The slope is given by the slope formula:
m = (y2 -y1)/(x2 -x1) = (218 -155)/(22 -15) = 63/7 = 9
The point-slope form is for a line with slope m through point (h, k) is ...
y -k = m(x -h)
Here, we have m=9 and (h, k) = (15, 155), so the equation can be written ...
y - 155 = 9(x -15)
How to solve this truth table ( p-->q) v q
p q
T T
T F
F T
F F
Without using a truth table:
(p ⇒ q) ∨ q ⇔ (¬p ∨ q) ∨ q ⇔ ¬p ∨ q ⇔ p ⇒ q
With a table:
p … q … p ⇒ q … (p ⇒ q) ∨ q
T … T … T … T
T … F … F … F
F … T … T … T
F … F … T … T
A locker combination has three nonzero digits, with no repeated digits. If the first digit is a 2, what is the probability the second digit is also even?
A. 1/2
B. 1/3
C. 3/7
D. 3/8
A regular polygon has 10 sides. Find the sum of interior angle
Answer:
Step-by-step explanation:
trewdsffffffffffffsdf
which of the following is equivalent to 18-
[tex] \sqrt{ - 25} [/tex]
a 5i
b 18-5i
c 18+5i
d 23
Answer:
[tex]18-\sqrt{-25}[/tex]
[tex]\sqrt{-25} =5i[/tex]
[tex]=18-5i[/tex]
OAmalOHopeO
Changing some of the values in a data set is called transforming the data.
A. True
B. False
Answer:
The answers is False
Step-by-step explanation: