Step-by-step explanation:
-4-(3)=-7
step two
3+(-5)=-2
step three
4+6=10
step four
-5-9=-14
step five
-4+(-9)=-13
Answer:
a) -4 - ( 3) = - 7
b) 3 + ( -5) = 3 - 5 = -2
c) 4 + 6 = 10
d) -5 -9 = - 14
e) -4 + ( -9) = -4 -9 = - 13...
What is m _BEC
OB) 70°
OA) 65°
OD) 120°
OC) 50°
Answer:
C) 50°
Step-by-step explanation:
[tex]m\angle BEC= 180\degree-(65\degree+65\degree)[/tex]
[tex]\implies m\angle BEC= 180\degree-130\degree[/tex]
[tex]\implies m\angle BEC= 50\degree[/tex]
Cai tried to prove that \triangle FGH\cong \triangle HIJ△FGH≅△HIJtriangle, F, G, H, \cong, triangle, H, I, J. Statement Reason 1 FG=HI=6FG=HI=6F, G, equals, H, I, equals, 6 Given 2 FH=HJ=4FH=HJ=4F, H, equals, H, J, equals, 4 Given 3 \overline{FG} \parallel \overline{HI} FG ∥ HI start overline, F, G, end overline, \parallel, start overline, H, I, end overline Given 4 \angle HFG\cong\angle JHI∠HFG≅∠JHIangle, H, F, G, \cong, angle, J, H, I When a transversal crosses parallel lines, alternate interior angles are congruent. 5 \triangle FGH\cong \triangle HIJ△FGH≅△HIJtriangle, F, G, H, \cong, triangle, H, I, J Side-angle-side congruence What is the first error Cai made in his proof? Choose 1 answer: Choose 1 answer: (Choice A) A Cai used an invalid reason to justify the congruence of a pair of sides or angles. (Choice B) B Cai only established some of the necessary conditions for a congruence criterion. (Choice C) C Cai established all necessary conditions, but then used an inappropriate congruence criterion. (Choice D) D Cai used a criterion that does not guarantee congruence
<HFG ≅ <JHI because they are corresponding angles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.
What are Corresponding Angles?When two parallel lines are crossed by a transversal, the angles that are formed in matching corners along the transversal are regarded as corresponding angles which are congruent to each other.
In the proof, HFG and JHI are corresponding angles that are forrmed. Therefore, they are equal based on the fact that corresponding angles are congruent.
Thus, Cai's first error in the proof was made in his 4th statement. <HFG ≅ <JHI because they are corresponding anglles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.
Learn more about corresponding angles on:
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Answer:Answer is A
Step-by-step explanation:
just did it on khan academy
PLEASE HELP ASAP ITS FOR A TEST
If a server at a restaurant gets a 20% tip on a bill of $25, then what will be the amount of the tip?
Answer:
$5
Step-by-step explanation:
20% = .2
multiply 25 by .2 and you get 5 so $5 is the tip amount
original price? The discount is 40% in the sale price is $18
Answer:
$10.8
Step-by-step explanation:
Multiply 18 to .4 to get 7.2. Then subtract the 40% discount from the sale price. 18-7.2 = $10.8
3. A hot air balloon travels 18 miles in 3 hours. At this rate, how many miles will the
3
hot air balloon travel in 2 hour?
4
A. 4.5 miles
B. 6 miles
C. 11.5 miles
D. 13.5 m
Answer:
B: 6 miles
Step-by-step explanation:
You divide 18 by 3 and get 6.
And the cross-section perpendicular to the yaxis is a square. Set up a definite integral expressing the volume of the solid
The volume of the cross-section perpendicular to the solid is the amount of space in the cross-section
How to set up the integral?The question is incomplete;
So, I will give a general explanation on how to set up a definite integral for volume of a solid
Assume the solid is a cone;
Using the disk method, the integral of the volume is:
[tex]V = \int\limits^a_b {\pi r(x)^2} \, dx[/tex]
Using the washer method, the integral of the volume is:
[tex]V = \int\limits^a_b {\pi [R(x)^2 -r(x)^2 ]} \, dx[/tex]
Read more about volume integrals at:
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7 j + 3 - 4 j + 9 terms and like terms
Hiya! :D
My name is Violet, and I will be helping you on your question!
[tex]\sf{7j \: + 3 \: - 4j \: + \: 9}[/tex]
[tex]\sf{Group \: like \: terms:}[/tex]
[tex]\sf{= 7j \: - 4j \: + \: 3 \: + \: 9}[/tex]
[tex]\sf{Add \: the \: numbers:}~ 3 \: + \: 9 \: = 12}[/tex]
[tex]\sf{= 7j \: - \: 4j \: + \: 12}[/tex]
[tex]\sf{Add \: similar \: elements:}~ 7j \: - 4j \: = \: 3j}[/tex]
[tex]\sf{= 3j \: + \: 12}[/tex]
Hope It Helps ! ^-^
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
[tex]\huge \pmb {\frak{Violet}}[/tex]
Rq I’ll brainlist.
Simplify 4kp x k ???
Hello!
We have
4kp×k
Multiply 4 times k times k times p:
4k²p
k² = k times k (k times itself)
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
[tex]\boxed{An~Emotional~Helper~here~}[/tex]
Find 76% of 147 please answer
Answer:
111.72
simplify multiply
⇒ 76% * 147
⇒ (76/100) * 147
⇒ 111.72
The area of a rectangle is 45 m squared, and the length is 6 m less than three times the width. Find the dimensions of the rectangle.
Answer:
Step-by-step explanation:
can you please help me, i really need it.
The right is answer the left is explanation
Download GAUTH MATH ( math only ) don't report my answer just delete it thank you !
Damian needs to buy 5 pints of juice but the store doesn't sell juice in pints, so damian buys 3 quarts of juice. does damian buy enough juice if not how much more does he have left or need to have enough?
Answer:
Damain has bought enough juice.
Step-by-step explanation:
1 qt(quart) = 2 pints.
3 qt = 6 pints.
6 pints > 5 pints (6 pints is bigger than 5 pints)
Therefore, Damain has bought enough juice.
Please mark as brainliest!
3. What is the measure of the angle?
20 degrees
70 degrees
160 degrees
250 degrees
Answer:
160 degrees
Step-by-step explanation:
We can split up the angle into two sections:
One section is the right side which is a right angle so it is 90 degrees. The left side is already given (70 degrees).
So we just add them two together
70+90=160
Given that
3x : 10 = 5: 2
Calculate the value of x.
Give your answer in its simplest form.
X =
Answer:
25/3
Step-by-step explanation:
3x:10=5:2
proportions are basically ratios, and ratios are basically fractions, so we can cross multiply
3x*2=10*5
6x=50
x=50/6
x=25/3
Step-by-step explanation:
please mark me as brainlest
Can somoene help me with this question please
Answer:
About 260 seconds
Step-by-step explanation:
Tha rate is:
A: 8L/1.66666m
b: 10L/1m (converted to litres)
Divide 2400 by those rates above which:
2400 / (8/1.66666) = 500
2400 / (10/1) = 240
500 - 240 = 260
Jessica has a credit line of $8,250 on her credit card. she had a previous balance of $780.54 and made a $455.00 payment. the total of her purchases is $1,570.85. her late charge was $12.60 and her finance charge was $9.50. use this information to answer questions # 1 - 2
Answer:
780.54-455=425.54
Step-by-step explanation:
425.54+1570.85+12.60+9.50=2018.49
1)
A group of twenty learners from Thabo secondary Vaal Gauteng, were selected
to participate in soccer tournament. The learners wanted to raise funds to help
pay for the trip, they decided to sell pens, the learn calculated that they need
R40 to start they fund raising venture the amount will be used for advertising
and other expenses the cost price of each pen was R2 each learner donated R12
for the starting up the business
4. 1) determine the total amount of money donated to start them business?
(2)
4. 2) calculate the value of A&B using the information given in the table
Show all the calculations
Number of o
10
5
25
of
15
B
Answer:
??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Step-by-step explanation:
Which quadratic function in vertex form can be represented by the graph that has a vertex at negative 4. . 5. and passes through the point negative 7. . 11. ?
Answer:
the annswer is 4155 because its in formal information
Step-by-step explanation:
the annswer is 4155 because its in formal information
7/16 = ___% ai need it step by step
Answer:
43.75%
Step-by-step explanation:
Step 1: Divide 7 by 16 to get the number as a decimal. 7 / 16 = 0.44
Step 2: Multiply 0.44 by 100. 0.44 times 100 = 43.75. That's all there is to it!
help.....././././////////././.
Answer:
hello, i am not sure. but the answer is between a and c
Step-by-step explanation:
If f(x) = x + 1, and g[f(x)] = x, what is g(x)?
Answer:
x-1
Step-by-step explanation:
f(x) = x+1
g[f(x)] = x
g[x+1]=x
g(x)=x-1
What is the distance between the points (10,6) and (1,4)? If necessary, round
your answer to two decimal places.
A. 9.22 units
B. 7.81 units
C. 61 units
D. 85 units
Distance:-
[tex]\\ \rm\Rrightarrow \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{(10-1)^2+(6-4)^2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{9^2+2^2}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{81+4}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{85}[/tex]
[tex]\\ \rm\Rrightarrow 9.22units[/tex]
An isosceles triangle has area of 140 ft2. If the base is 18 ft, what is the length of each leg? Round your answer to the nearest tenth
Answer: 18.0 feet
Step-by-step explanation:
how to find the hcf and the lcm of numbers using prime factorization.
lcm
30 and 12.
hcm
12 and 20
Answer:
Below in bold.
Step-by-step explanation:
30 = 2 * 3 * 5
12 = 2 * 2 * 3
Note that 2 and 3 are common to both factors
so the HCF = 2*3 = 6.
Only one 2 and one 3 of the duplicates are included in the LCM:
so the LCM = 2 * 3 * 2 * 5 = 60
20 = 2 * 2 * 5
12 = 2 * 2 * 3
HCF = 2 *2 = 4
LCM = 2*2*3*5 = 60.
3x+1=38 solve and check please
Hello!
The first step is to subtract 1 from both sides.
[tex]\bf{3x+1=38}[/tex]
[tex]\bf{3x=37}[/tex]
Now, divide both sides by 3:
[tex]\bf{\displaystyle\frac{37}{3} }[/tex]
Can this fraction be simplified? Nope.
Why? Because 37 and 3 do not have any common factors, except 1 (and what's the point of dividing by 1?)
Hence, the answer is
[tex]\huge\boxed{\text{Answer:{\boxed{\circ\star{\frac{37}{3} }}}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#KeepOnLearning
[tex]\boxed{An~Emotional~Helper!}[/tex]
A random sample of 100 chemistry students were asked how many lab classes he or she was enrolled in september 2000. the results showed a mean of 1.65 lab classes with a standard deviation of 1.39. ten years later, a similar survey was conducted to determine if the distribution changed. the 2010 sample mean was 1.82 with a standard deviation of 1.51. do the data provide statistical evidence that the mean number of lab classes taken in the first survey is different from the survey taken 10 years later? perform the appropriate test using a = 0.02
Using the t-distribution, as we have the standard deviation for the samples, it is found that the data does not provide statistical evidence that there is a difference.
What are the hypotheses tested?At the null hypotheses, it is tested if there is no difference in the means, that is, the subtraction is of 0, hence:
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternative hypotheses, it is tested if there is a difference, hence:
[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]
What are the mean and the standard error of the distribution of differences?For each sample, they are given by:
[tex]\mu_1 = 1.82, s_1 = \frac{1.51}{\sqrt{100}} = 0.151[/tex]
[tex]\mu_2 = 1.65, s_2 = \frac{1.39}{\sqrt{100}} = 0.139[/tex]
Hence, for the distribution of differences, they are given by:
[tex]\overline{x} = \mu_1 - \mu_2 = 1.82 - 1.65 = 0.17[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.151^2 + 0.139^2} = 0.205[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Then:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{0.17 - 0}{0.205}[/tex]
[tex]t = 0.83[/tex]
What is the decision?Considering that it is a two-tailed test, as we are testing if the mean is different of a value, with 100 + 100 - 2 = 198 df and a significance level of 0.02, the critical value is of [tex]|t^{\ast}| = 2.3453[/tex].
Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis, which means that the data does not provide statistical evidence that there is a difference.
More can be learned about the t-distribution at https://brainly.com/question/13873630
A tank in the shape of a hemisphere has a radius of 7 feet. if the liquid that fills the tank has a density of 93 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
The total weight of the liquid that filled the hemispheric tank to the nearest full pounds is 66775 pounds.
What is the volume of an hemisphere?An hemisphere is half of a sphere. Therefore,
volume = 2 / 3 πr³
where,
r = radiusTherefore,
r = 7 feet
volume = 2 / 3 × 3.14 × 7³
volume = 2 / 3 × 3.14 × 343
volume = 2154.04 / 3
volume = 718.013333333
volume = 718.013
Therefore,
density = mass / volume
93 = mass / 718.013
mass = 718.013 × 93
mass = 66775.24
mass ≈ 66775 pounds
learn more on hemisphere here: https://brainly.com/question/14527816
On a football field, the left and right tackles are lined up on the same yard line. A linebacker is 15 yards away from that yard line. The angles of the lines of sight of the tackles to the linebacker that are made with the yard line are shown in the diagram. Approximately how far apart are the left and right tackles?
Answer:
D. 39.3 yd
Step-by-step explanation:
Left tackle:
tan 35° = 15/x
x = 15/tan 35°
x = 21.42
Right tackle:
tan 40° = 15/x
x = 15/tan 40°
x = 17.88
x + y = 39.3
Answer: D. 39.3 yd
find the rate of interest.
Rs.8800,T=3.5years,I=Rs.2618
Answer:
Rate is 8.5%
Step-by-step explanation:
Step 1: Write the given terms
Principal (p)=Rs8800
Rate(r)=?
Time(t)=3.5 years
Interest=Rs2618
Step 2: Write the formula for calculating Simple interest
[tex]i = \frac{prt}{100} [/tex]
Step 3: Make r the subject of the equation
[tex]by \: cross \: multiplication \\ 100i = prt \\ divide \: both \: sides \: by \: pt \\ r = \frac{100i}{pt} [/tex]
Step 4: Find the value of r by substituting the values in step 1
[tex]r = \frac{100 \times 2618}{8800 \times 3.5} \\ r = \frac{261800}{30800} \\ r = 8.5[/tex]
Hence, the rate is 8.5%
If 2sinθ=65, what is cos(90°−θ)?
A 3/5
B 4/5
C 5/4
D 5/3
Answer: A
Step-by-step explanation:
If 2sinθ = 6/5, then the value of cos (90 - θ) will be 3/5. Then the correct option is A.
How to convert the sine of an angle to some angle of cosine?We can use the fact that:
sinθ = cos(90 - θ)
to convert the sine to cosine (but the angles won't stay the same unless it's 45 degrees).
If 2sinθ = 6/5.
Then the value of cos (90 - θ) will be
cos (90 - θ) can be written as sin θ
Then we have
cos (90 - θ) = sin θ
cos (90 - θ) = 3/5
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