Answers
Step-by-step explanation:
Set up a proportion:
26.5/x = 17/58
Cross multiply and you get:
17x = 1537
x = 90.4
So the measure of PQ is 90.4
Answer:
90.41
Step-by-step explanation:
you need to apple the thales's theorem
which is the comparison like this
ML=PQ JM= QN
Then you multiply in a crossed way like this
26.5 times 58= 1537
then you need to divide it by 17
1537/17= 90.41
Related Questions
Verify the following identity:
[tex]\dfrac{1-\sin t}{\cos^2t}+\dfrac{1}{1-\sin t}=2\sec^2t[/tex]
Answers
We will simplify the left hand side of the equation to look like the right
[tex]\displaystyle \frac{1-sin(t)}{cos^{2}(t)} + \frac{1}{1 - sin(t)}[/tex]
taking the LCM
[tex]\displaystyle \frac{[1-sin(t)]^{2} + cos^{2}(t)}{[cos^{2}(t)][1 - sin(t)]}[/tex]
expanding the binomial in the numerator
[tex]\displaystyle \frac{[1 + sin^{2}(t) - 2sin(t) + cos^{2}(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]
Since sin²x + cos²x = 1
[tex]\displaystyle \frac{[2 - 2sin(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]
factoring out the 2 from the numerator
[tex]\displaystyle \frac{2[1 - sin(t)]}{[cos^{2}(t)][1 - sin(t)]}[/tex]
1-sin(t) will cancel out
[tex]\displaystyle \frac{2}{cos^{2}(t)}[/tex]
since cos²(t) = 1/(sec²(t))
[tex]2 sec^{2}(t)[/tex]
which is equal to the right hand side of our given equation.
So we verified the identity!
Answer:
[tex]\rm 2 \sec {}^{2} T[/tex](Verified identity)
Step-by-step explanation:
Please refer to the attachment for calculations.
I hope this helps!
Use the GCF and the Distributive Property to find the sum. 26+39
Answers
Answer:
65--but the method is the important part that the directions indicated.
Step-by-step explanation:
26 + 39
(2 × 13) + (3 × 13)
The GCF is 13.
Factor the 13 out; it's like Distributive Property in reverse.
13 (2 + 3)
13 (5)
65
26+39= 65, so we obtain the same answer as just adding, by using GCF and Distributive Property.
Answer:
13(2 +3)
Step-by-step explanation:
26 = 2·13
39 = 3·13
The greatest common factor is 13, so the sum can be written ...
26 +39 = 13(2 +3)
_____
Additional comment
Of course, the value of the sum is ...
13(2+3) = 13(5) = 65
Alternatively, the sum can be evaluated as ...
26 +39 = 26 -1 +1 +39 = (26 -1) +(1 +39) = 25 +40 = 65
7. I am currently 5 times as old as my daughter. In 6 years from now. I will be three times as old she will be then. Find our current ages.
i will mark that answer as brainlist who's answer was correct and can send me ASAP
Answers
Answer:
Daughter is 6 , mother is 30.
Step-by-step explanation:
Three cubes each of side 3 cm each are joined end to end. Find the surface area of the resultant solid.
Answers
Answer:
126 cm^2
Step-by-step explanation:
The surface area of one cube face is (3 cm)^2 = 9 cm^2.
Each cube has 6 faces, but joining them together hides 4 of the faces. The surface area of the resultant solid is ...
(6·3 -4)·(9 cm^2) = 126 cm^2
help me againnnnnnnnnnnnnnnnnnnnnnn
Answers
Step-by-step explanation:
(2m + 4) / 8 = w
2m + 4 = 8w
2m = 8w - 4
m = 4w - 2
Step-by-step explanation:
option A is correct.
hope this answer helps you dear! take care
Which one weighs more a watermelon that weighs 7.5 kilograms or a pumpkin that weighs 12 pounds?
Answers
Answer : The watermelon weighs more
Step - by - step explanation :
First do . . . what is 7.5 kilograms into pounds ? 16.5347 ( rounded is 17 pounds )
Second compare . . . 17 > 12
Hope this helped ! :D
PLEASE HELP SOMEONE. ILL GIVE BRAINIEST.
Caitlyn and Daniela are going out for pizza to their local gourmet pizza shop. They order a pizza with a total of 5 toppings. The restaurant charges 8 dollars for a pizza, plus $1 per basic topping and $2 per premium topping. The girls spend a total of $15 on their pizza. Let x = the number of basic toppings and y = the number of premium toppings. What equation accurately represent this situation? Like as a systems of equations where the two points intersect. The point where they intersect will be the answer.
Answers
25
8×1=8
8 +2=10
10+15=25
The answer is the 1st image, and the explanation is the 2nd image.
The answer in text if seeing the image is not possible; x + y = 5 and x + 2y + 8 = 15
help me plss i need helppp
Answers
Mrs. Saunders bought a 19 pound turkey for Thanksgiving. The total cost of the
turkey was $25.65. What was the cost of turkey per pound?
Answers
Answer:
$1.35 per pound
Step-by-step explanation:
25.65/19=1.35
a school is arranging a field trip. the school spends 814.98 dollars on passes for 32 students and 2 teachers. they also spend 309.76 dollars on lunch for just the students. how much money was spent on a pass and lunch for each student?
Answers
Answer:
35.00?
Step-by-step explanation:
Which of the following does not describe slope? O A rate of change
O A proportional relationship
O A line
O Rise over run
Answers
Answer: Should be a line
Step-by-step explanation:
Rewrite the expression 3a^2b^3c^5 / 8x^4y^3z so that it has no denominator
Answers
Can someone please help me with this question.
How can you tell whether two sets of data, ordered pairs, vary directly?
Answers
Answer:
graph them
Step-by-step explanation:
you can tell if you graph them
solve the following x2-2x-24=0
Answers
Answer:
[tex]x=6[/tex] and [tex]x=-4[/tex]
Step-by-step explanation:
[tex]x^2-2x-24=0[/tex]
[tex](x-6)(x+4)=0[/tex]
[tex]x=6[/tex] and [tex]x=-4[/tex]
Pls help if correct ill mark brainliest. fill in the blanks with the correct term :p
Answers
Answer:
11. attends
12. attend
. If x > 0 and cos 0 = 2/x , what is tan
in terms of x?
Answers
Answer:
Explanation:
A)wkt, tanx = perpendicular(p)/base(b) .....(1)
B)We are given tanx=5/12 .....(2)
C)On comparing the quantities we get that p=5 and b=12
D)We require the value of hypotenuse(h),
for this we apply the Pythagoras theorum i.e,
h
2
=
p
2
+
b
2
⇒
h
2
=
5
2
+
12
2
⇒
h
2
=25+144
⇒
h
2
=169
⇒
h=
√
169
⇒
h=13
Step-by-step explanation
well yeah thats the dang answer
what are the zeros of the function of y=x^2-3x+2
Answers
Answer:
(x-1)(x-2)
x=1, x=2
Step-by-step explanation:
x-2=0 x=2
x-1=0 x=1
the least number by which 7203 must be divided to make the result a perfect square is____
Answers
Answer:
Step-by-step explanation:
we should divide it by 3 to get a perfect square .and the square root of the perfect square is 49
[tex]\begin{gathered}\:\:\:\:\:\:\:\:\:\:\:\begin{gathered} \begin{array}{c|c} \underline{\sf{3}}& {\sf{ \underline{ \pink{7203} \: } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \underline{\sf{7}}&{\sf{ \underline{2401 \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{343 \: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{49\: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{7}}&{\sf{ \underline{7 \: \: \: \: \: }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\\underline{\sf{}}&{\sf{ 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \end{array}\end{gathered}\end{gathered}[/tex]
[tex]\qquad[/tex][tex]\purple{ \bf\longrightarrow 7203 = 3 \times 7 \times 7 \times 7 \times 7} [/tex]
Clearly 3 has no pair! That means if we divide 7203 by 3, we get 2401 which is the square of 49. Hence, the smallest number by which 7203 must be divided to make the result a perfect square is 3.____________________________________________
There are 12 students with brown hair and 45 students with black hair in a math class. What is the ratio of students with brown hair to students with black hair?
Answers
Answer:
57 Students........................
PLEASE NO LINKS AND NO NEGATIVITY
Answers
Answer:
D. Associative property of addition
Step-by-step explanation:
The associative property of addition states "Changing the group of addends does not change the sum." This means it does not matter what order you use when adding the variables together, and PEMDAS does not apply.
The commentative property of addition states the order of the numbers when adding does not change the sum. While this is true for this equation, this is not the main focus as we are still adding the same way from lines 3-4 with 6+3, instead of 3+6
13 5/8 + 9 1/5 in lowest terms
Answers
Answer:
22 33/40
Step-by-step explanation:
Answer:
Step-by-step explanation:
the amount in Jamaican dollars one would get for US $200
Answers
200 US Dollar is 30837.86 Jamaican Dollar.
HELP ASAPPPPPPPPPPPPPPPPP
Answers
Answer:
b. Kilograms
Step-by-step explanation:
Determine the largest integer value of x in the solution of the following inequality.
-5x + 6 > -5
Answers
Answer:
x=2
Step-by-step explanation:
-5(2)+6= -4
-4 is greater than -5
a/a+2 = 3/5 ,, can someone give me the step by step solution to this? or at least explain it to me :’)
Answers
Answer:
Hey There!
Let's solve...
[tex] \frac{a}{a + 2} = \frac{3}{5} \\ \\ [/tex]
if a/b=c/d,then it will be a*d=b*c
Note: * means "×" or multiply
Let's continue...
[tex]a \times 5 = (a + 2) \times 3 \\ now \: expand \: \\ a \times 5 = 3a + 6 \\ \\ a \times 5 - 3a = 3a + 6 - 3a \\ [/tex]
[tex]now \: it \: will \: be \: a \times 2 = 6 \\ so \: 2a = 6 \\ \\ therefore \: a = \frac{6}{2} \\ simplify \\ \\ \frac{ \cancel{6}^{3} }{ \cancel{2} ^{1} } \\ so \: a = 3 [/tex]
So final answer is a=3
I hope it is helpful to you...Cheers!___________The value of a in the equation is 3
The equation is given as:
[tex]\frac{a}{a+2} =\frac 35[/tex]
Start by cross multiplying the above equation
[tex]5 \times a = 3 *(a + 2)[/tex]
Simplify each product
[tex]5a =3a + 6[/tex]
Collect like terms
[tex]5a -3a = 6[/tex]
Evaluate the difference
[tex]2a = 6[/tex]
Divide both sides by 2
[tex]a = 3[/tex]
Hence, the result of the equation is 3
Read more about equations at:
https://brainly.com/question/2972832
This graph represents the design of a child’s slide what is the slope of the slide
Answers
Answer:
I think it is 1/2 because it goes up 1 over 2
select the two values of x that are roots of this equation 2x^2-11x+15=0
Answers
What is the length of DF?
F
За
IT
E
G
a +6
D
DF =
Answers
Answer:
18
Step-by-step explanation:
Triangles FEG and DEG are congruent by SAS, so DG = FG.
a+6 = 3a
6 = 2a
3 = a
3a = 3·3 = 9 = FG = DG
DF = 9+9 = 18
??????????????????????????
Answers
Answer:
Top left and bottom one
Step-by-step explanation:
What is the final amount if 700 is increased by 4% followed by a further 3% increase?
Answers
Answer:
Answer: 749.84
Step-by-step explanation:
• For 4% increment
[tex] = { \rm{ \frac{(100 + 4)}{100} \times 700 }} \\ \\ = { \rm{ \frac{104}{100} \times 700}} \\ \\ = { \rm{728}}[/tex]
• For the 3% increment
[tex] = { \rm{ \frac{(100 + 3)}{100} \times 728}} \\ \\ = { \rm{ \frac{103}{100} \times 728 }} \\ \\ = { \rm{749.84}}[/tex]