Answer: z = [tex]\sqrt{10}[/tex]
Step-by-step explanation:
To find z, you must set up a proportion to solve.
To find the altitude of a special right triangle, the formula is:
[tex]\frac{a}{x} =\frac{x}{b}[/tex]
You can use 5 as a and 2 as b to complete the proportion:
[tex]\frac{5}{x} =\frac{x}{2}[/tex]
Next, to solve:
Step 1: Cross-multiply.
[tex]\frac{5}{z} =\frac{z}{2}[/tex]
(5)*(2) = z*z
10 = z²
Step 2: Take square root.
10 = z²
√10 = z
I hope this helps!
Find the value of each variable. Help asappppp
Answer:
Y= 20
Z = 20
Step-by-step explanation:
Y:
cos(∠BAC) = [tex]\frac{AC}{AB}[/tex]
cos(45°) = [tex]\frac{y}{20\sqrt{2}}[/tex]
Y= 20
Z:
sin(∠BAC) = [tex]\frac{BC}{AB}[/tex]
sin(45°) = [tex]\frac{z}{20\sqrt{2}}[/tex]
z = 20
Before catching the bus for school, Josh, Michael, and Tyler went to the fridge and grabbed a 25-ounce container of orange juice to split evenly between them.
How much orange juice did each person get?
Answer: approx. 8.33 ounces
Step-by-step explanation: you are splitting 25 ounces between 3 people when we do 25 / 3. The decimal would continue at eight point three repeated. To round to the nearest hundredth the answer is 8.33 See picture.
Answer:
It would be like each get like a cup and a half
Step-by-step explanation:
Solve the system of equations by the substitution method.
5x+4y=38 x=5y−4
Answer:
Step-by-step explanation:
Because x=5y-4 you can substitute 5y-4 into the x in the other equation. This makes 5(5y-4) + 4y = 38. When simplified it gives 25y -20 +4y = 38. Move like terms to each side to get 29y = 58 and get y=2. Then you can substitute 2 into the y in either equation to find x. I will do x=5(2)-4 to get x=6. So x=6 and y=2
SOMEONE PLEASE HELP!!!
Answer:
Step-by-step explanation:
2. Perpendicular lines form right angles.
3. A right angle has a measure of 90 degrees.
4. Angle addition postulate
5. Angles that add to form a right angle have a measure of 90 degrees.
7. Congruent angles have equal measure.
8. Substitution
9. Angles with measures that add to 90 deg are complementary.
Kathy keeps track of the number of baskets she makes while practicing her free throw shots. She finds that out of 18 tries, she makes 7 baskets. If Kathy’s trend continues, about how many baskets should she expect to make out of 60 tries? 18 baskets
The number of basket Kathy will make out of 60 tries is 23 basket.
She keeps track of the number of basket she makes while practicing her free throw shots.
She makes 7 baskets out of 18 tries.
Proportional relationship:This is when quantities have the same ratios. Therefore,
18 tries = 7 baskets
60 tries = ?
cross multiply
number of basket = 60 × 7 / 18
number of basket = 420 / 18
number of basket = 23.3333333333
number of basket = 23 basket.
learn more on proportion here: https://brainly.com/question/718362
Help please!!! Due tomorrow!!
Answer:
try negative -4 it might be the answer
Answer:
the rate of change is for x it would be 2 and for y it would be 4.
Step-by-step explanation:
solve:
3x + 2y = -4
x - 2y = 4
Topic : Linear equations in two variables.
Given :
3x + 2y = -4 ––– (i)x - 2y = 4 ––– (ii)Solution :
Now,
(i) + (ii)
[tex] \qquad \sf \: { \dashrightarrow 3x + 2y + (x - 2y) = - 4 + 4}[/tex]
[tex] \qquad \sf \: { \dashrightarrow 3x + 2y + x - 2y = 0}[/tex]
[tex] \qquad \sf \: { \dashrightarrow 3x \: \cancel{ + 2y} + x \: \cancel{- 2y} = - 4 + 4}[/tex]
[tex] \qquad \sf \: { \dashrightarrow 4x = 0}[/tex]
[tex] \qquad \bf \: { \dashrightarrow x = 0}[/tex]
Now, substituting the value of x in Eq (i) :
[tex]\qquad \sf \: { \dashrightarrow 3x + 2y = -4}[/tex]
[tex]\qquad \sf \: { \dashrightarrow 3(0) + 2y = -4}[/tex]
[tex]\qquad \sf \: { \dashrightarrow 0 + 2y = -4}[/tex]
[tex]\qquad \sf \: { \dashrightarrow 2y = -4}[/tex]
[tex]\qquad \sf \: { \dashrightarrow y = \dfrac{ - 4}{2} }[/tex]
[tex]\qquad \bf \: { \dashrightarrow y = -2}[/tex]
Therefore, The value of x = 0 and y = -2
The solution to the two given simultaneous equations are; x = 0 and y = -2
How to find the solution to simultaneous equations?We are given the simultaneous equations;
3x + 2y = -4 -----(eq 1)
x - 2y = 4 ------(eq 2)
Add eq1 and eq2 to get;
4x = 0
x = 0/4
x = 0
Substitute 0 for x in eq 2 to get;
0 - 2y = 4
-2y = 4
y = -4/2
y = -2
Read more about Simultaneous Equations at; https://brainly.com/question/16863577
Express the area of the triangle as a monomial.
Answer:
20 [tex]x^{4}[/tex] [tex]y^{6}[/tex]
Step-by-step explanation:
A = [tex]\frac{1}{2}[/tex] ( 5 x³ [tex]y^{4}[/tex] )( 8 x y² ) = 20 [tex]x^{4}[/tex] [tex]y^{6}[/tex]
Hellllp me please it’s 12:04 am I got school tomorrow
Answer:
where in the world are you-? its 12:04 am-?!
33) Given the graphs of f(x) = x - 1 and g(x) = -x - 7, what is the solution to the equation f(x) = g(x)?
A)-1
B) - 3
C) - 4
D) - 7
Answer:
B
Step-by-step explanation:
The solution is the point of intersection of the 2 lines
The lines intersect at (- 3, - 4 ), then
f(x) = g(x) has solution x = - 3
here is anthor thing i need help with lol
Answer:
Subtract 40 from both sides.
Full process:
4(n + 10) = 34
4n + 40 = 34
4n = -6
n = 1.5
What is the inverse of y=2x+5/2
Answer:
y=-2x-2.5
Step-by-step explanation:
The inverse of a number is the negative number.
Drag each tile to the correct box.
Arrange the solutions of the mathematical expressions from least to greatest according to their values in scientific notation.
Answer:
1 is 3 2 is 4 3 is 6 that is all I know
Step-by-step explanation:
i did it already
Plz help I want the answer only plz help quickly.
Answer:
(5,2) is the correct and
Answer:
i think your answer is C
Step-by-step explanation:
help guys, quick I really need help :)
6(2x+7)
Answer:
12x + 42Solution:
Simplify the distributive property and solve.
6(2x+7)=> (2x × 6) + (7 × 6) => 12x + 42Hence, the simplified expression is 12x + 42.
Use the number line to help you decide which statement is true.
Answer:
7/8 > 3/4
Step-by-step explanation:
Make the denominators of both fractions the same by mulitplying the numerator (top number) and denominator (bottom number) of the fraction 3/4 by 2:
(3 x 2) / (4 x 2) = 6/8
Now compare 6/8 with 7/8 (the number line is divided into 8 equal parts. Shade 6 and then shade 7. which is bigger?)
7/8 > 6/8
Therefore, 7/8 > 3/4
Answer:
7/8 > 3/4
Step-by-step explanation:
hope this help
XD
aira needs 1/4 cup ice cream and 2/3 cup root beer to make a rootbeer float. she is using one measuring cup. how can she write 1/4 and ⅔ as a pair of fractions with a common denominator to fond out which measure cup to use
Answer:
11/12
Step-by-step explanation:
the common denominator between 4 and 3 is 12 because it is the smallest shared factor. as for what cup they would use for 11/12 beats me lol
Exit
Which survey is biased?
A. Going to the mall and asking people what their favorite color is.
B. Going to the mall and asking people what their favorite place to shop is.
C. Going to the mall and asking people what television channel they watch most.
D. Going to the mall and asking people what radio station they listen to most often.
0.035785 in 4 decimal place
0.002635 In 1 decimal place
260.743 in 2 decimal place
284.0675 in 3 decimal place
0.420009 in 5 decimal place
Answer:
0.002635 In 1 decimal place
Step-by-step explanation:
A triangular prism has an equilateral base with side length x inches. The height of the prism is four times as long as the side length. What is the lateral area of the prism? 12x square inches 12x2 square inches 36x square inches 36x2 square inches.
Triangular prism has 4 sides, including the base. The lateral area of the considered triangular prism is given by option B: [tex]12x^2 \: \rm inch^2[/tex]
How to find the lateral area of a triangular prism?Lateral area of the considered triangular prism is the sum of areas of the triangles it is made up from except that of the base triangle.
The lateral area of a right prism which is regular (all lateral sides congruent) is given by:
[tex]A_L = P \times h[/tex]
where, P = Perimeter of the base
h = height of that prism
For the given case, we have the base of the triangular prism of side length x units.
Thus, perimeter of the base = x + x + x = 3x
Height of the base = h = 4 times x = 4x
Thus, we get:
Lateral area of the prism = [tex]3x \times 4x = 12x^2 \: \rm inch^2[/tex]
Thus, The lateral area of the considered triangular prism is given by option B: [tex]12x^2 \: \rm inch^2[/tex]
Learn more about lateral surface area of a prism here:
https://brainly.com/question/9656717
Awnser:
B: 12x (2) <----- (squared) square inches
Step-by-step explanation:
edge 2023
An account is gaining value at a rate of 4.94% per year. The account held $113 in 2005. What will the bank account hold in 2017?
We have that what the bank account hold in 2017 is mathematically given as
T=179.986
Simple interestSimple interest is a simple way of forecasting and having a view of futuristic values.
Question Parameters:
An account is gaining value at a rate of 4.94% per year.
The account held $113 in 2005.
What will the bank account hold in 2017?
Generally the equation for Simple interest is mathematically given as
S=(P*R*T)/(100)
Therefore
S=(113*4.94*12)/(100)
S=$66.986
Therefore
after 12 years
T=113+66.986
T=179.986
For more information on Arithmetic visit
https://brainly.com/question/22568180
Which answer is the explicit rule for the sequence 2, 9, 16, 23, 30 ...?
an=2−7n
an=2+7n
an=−5+7n
an=−5−7n
Answer:
an=−5+7n
Step-by-step explanation:
I took the same quiz, there is a screenshot provided with the correct answer.
Which is bigger
3/6 or 2/3
Answer:
2/3
Step-by-step explanation:
2/3 = 4/6
Is 4/6 bigger than 3/6?
Yes.
2/3 is bigger than 3/6.
And also, if you convert 2 of the fractinos to decimals, 2/3 will be approximately 0.67 and 3/6 will be 0.5.
Is 0.67 bigger than 0.5?
Yes.
2/3 is greater than 3/6
How to determine the bigger number?The numbers are given as:
3/6 and 2/3
Express both numbers as decimals to two decimal places
0.50 and 0.67
By comparison, we have:
0.67 is greater than 0.50
This means that:
2/3 is greater than 3/6
Read more about fractions at:
https://brainly.com/question/11562149
Which of the following is the inverse of y=3*?
Answer:
The answer is :
the second one ( [tex]y=log{3} x[/tex] )
Ellis buy 24 cans of soda in packs of 6 each pack costs £1.80 Connor buys 24 cans of soda in packs of 8 each pack costs £2.10 Ellis pays more for his 24 cans than Connor how much more?
[tex]\bold{\huge{\blue{\underline{ Solution }}}}[/tex]
Given :-Ellis buy 24 cans of soda in packs of 6 soda cansEach pack (Contains 6 soda cans) cost £1.80Connor buys 24 cans of soda in packs of 8 soda cans Each pack ( Contains 8 soda cans) cost £2.10To Find :-We have to find out that how much more Ellis has to pay for soda cans than connor? Let's Begin :-Ellis bought total 24 soda cans but in packs
Each pack contain 6 cans
Therefore,
Total packs bought by Ellis
[tex]\sf{ = }{\sf{\dfrac{ 24}{6}}}[/tex]
[tex]\sf{ = 4 \: packs }[/tex]
Ellis bought 4 packs of soda cans
The cost of 1 pack = £1.80So,
Total cost paid by the Ellis
[tex]\sf{ = 4 {\times}{\pounds} 1.80 }[/tex]
[tex]\sf{ = {\pounds}7.20 }[/tex]
Thus, The total cost paid by Ellis is £7.2
Now,Connor also bought 24 cans of soda but in packs
Each pack contain 8 soda cans
Therefore,Total packs bought by Connor
[tex]\sf{ = }{\sf{\dfrac{ 24}{8}}}[/tex]
[tex]\sf{ = 3 \: packs }[/tex]
Connor bought 3 packs of soda cans
The cost of 1 pack = £2.10So,
Total cost paid by the Connor
[tex]\sf{ = 3 {\times}{\pounds}2.10 }[/tex]
[tex]\sf{ = {\pounds}6.30 }[/tex]
Thus, The total cost paid by connor is £6.30
From Above we can conclude that,
Ellis had paid more than connorThat is,
Ellis had to pay more than connor by
[tex]\sf{ = 7.20 - 6.30 }[/tex]
[tex]\sf{ = {\pounds}0.90}[/tex]
Hence, Ellis paid more than connor by £0.90.
PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!! WILL GIVE BRAINLIEST IF RIGHT! 2 PPPL HAVE TO ANSWER FIRST
Answer: J
Step-by-step explanation:
[tex]log_2 24 - log_2 3 = log_2 (24/3) = log_2 8 = 3[/tex]
So [tex]log_5 x = 3 -> x=125[/tex]
Help if u understand thanks
Answer:
It's answer #2 {(-9,5), (3,5), (0,1), (-6,8)}
Step-by-step explanation:
A non-function would be one that has TWO answers for ONE input, such as when you have y squared = 4. You can have y = 2 or -2. If you graph this, you would have a point directly above the other point on a graph.
simplify, please help its due in a few hours TvT
Answer:
3²
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m +n)}[/tex]
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , [tex]a^{0}[/tex] = 1
given
[tex]3^{-6}[/tex] × ([tex]3^{4}[/tex] ÷ [tex]3^{0}[/tex] )²
= [tex]3^{-6}[/tex] × ([tex]3^{4}[/tex] ÷ 1 )²
= [tex]3^{-6}[/tex] × [tex](3^4)^{2}[/tex]
= [tex]3^{-6}[/tex] × [tex]3^{8}[/tex]
= [tex]3^{(-6+8)}[/tex]
= 3²
ERROR ANALYSIS Describe and correct the error in
graphing and comparing
y= x^2and y = 0.5x^2.
Answer:
I don't know the answer 1+1=2
Step-by-step explanation:
2=22+2
Which matrix represents the system of equations shown below?
Answer: A.
Step-by-step explanation:
The correct answer is A.