9514 1404 393
Answer:
A = 27
B = 81
Step-by-step explanation:
Fill in the x-value and do the arithmetic.
a = 3^3 = 27
b = 3^4 = 81
A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.
Answer:
17.7 ft
Step-by-step explanation:
A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.
We solve using the Trigonometric function of sin
sin = Opposite/Hypotenuse
Opposite = Height = ?
Hypotenuse = Length of the ladder = 20 ft
Hence:
sin 62 = h/20 ft
Cross Multiply
h = sin 62 × 20 ft
h = 17.658951857 ft
Approximately = 17.7 ft
What are the solutions of the equation x2 + 5x + 6 = 0? A. −3, 2 B. 6, −1 C. 6, 1 D. −3, −2
Answer:
D. -3,-2
Step-by-step explanation:
Let [tex]x^{2} +5x+6=0=(x+2)(x+3)\\[/tex], then [tex]x+2=0[/tex] or [tex]x+3=0[/tex], thus [tex]x=-2[/tex] or [tex]x=-3[/tex]
MATH QUESTION HELP ME PLS, KINDA URGENT!!
I need to resolve this with the elimination method
x +y +z = 13
x–z = −2
−2x +y = 3
how-?
Answer:
x= 2
y= 7
z= 4
Step-by-step explanation:
Equation 1: x+y+z=13
Equation 2: x-z= -2
Equation 3: -2x+y=3
Add equation 2 and 1
(x+y+z)+(x-z)= 13 -2
2x+y= 11
Add this to equation 3
(-2x+y)+(2x+y)= 11+3
2y= 14
y= 7
Plug in y= 7 to equation 3
-2x+(7)= 3
-2x+7=3
-2x= -4
x= 2
Plug x=2 into equation 2
2-z= -2
4 = z
Can you please write a paragraph using this Key Terms: amphibians larvae salamanders emerge habitat dormant migrate escort
Answer:
DESCRIPTION: Large for a modern amphibian, the male California tiger salamander can reach up to 8.5 inches in length, the female up to seven. Adults have protruding eyes and long tails, and their slick bodies are mostly black with brilliant yellow spots and stripes on their back, sides, and tail. Larvae are greenish gray in color.
HABITAT: California tiger salamanders can be found in annual grasslands and oak woodlands with hot, dry summers and cool, rainy winters. For most of the year, they reside in underground burrows created and abandoned by small mammals. They need ephemeral pools for breeding.
RANGE: Historically these salamanders ranged throughout California's Sacramento and San Joaquin River valleys, the surrounding foothills, and the lower elevations of the state's central coast. Now their distribution is limited to disjunct vernal pool complexes in the northern part of their historical range. The northernmost and southernmost populations, residing in Sonoma and Santa Barbara counties respectively, are genetically distinct and geographically isolated from others.
MIGRATION: Once fall and winter rains begin, adult tiger salamanders emerge from underground hibernation habitat in mammal burrows and migrate to breeding ponds. After breeding, adults disperse back to uplands habitat to retreat underground. Adults may migrate long distances between summering and breeding sites: salamanders have been found along roads more than 1.2 miles from any known breeding ponds. Juvenile salamanders dispersing from ponds have been trapped more than 1,200 feet from their natal ponds.
BREEDING: Following early-winter rains, California tiger salamanders nocturnally emerge from their burrows and lay their eggs in newly formed vernal pools. After the eggs are fertilized internally, a female can lay up to 1,300, which she deposits individually or in small batches. Adults move back to their terrestrial burrows after breeding.
LIFE CYCLE: Within two weeks of egg fertilization, salamander larvae hatch, remaining in their natal pools for two to three months. By late spring or summer, once they reach metamorphosis, juveniles roam up to two miles away to hibernate in terrestrial habitat. Salamanders are thought to have lifespans of 10 years or more.
FEEDING: For the first six weeks of life, juveniles eat small crustaceans, algae, and mosquito larvae. Adult salamanders prey on aquatic insects, invertebrates, and tadpoles of Pacific tree frogs, California red-legged frogs, western toads, and spadefoot toads.
THREATS: The California tiger salamander is threatened by habitat destruction due to urban and agricultural development, habitat fragmentation, pesticides, hybridization with nonnative tiger salamanders, introduced diseases, and predation by nonnative species.
POPULATION TREND: Surveys showed that by 1993, the California tiger salamander had been extirpated from at least half of its historic localities. By 2004, only six tiger salamander meta-populations within 48 breeding ponds remained in Santa Barbara County, and by 2005, only seven viable tiger salamander breeding sites remained in Sonoma County.
Step-by-step explanation:
help appreciated !!!!!
Answer:
38.43 sales tax, 597.43 total price
Step-by-step explanation:
559x.06875=38.43 sales tax
559+38.43=597.43 total price
Please help me solve my problem!!!
Can someone please help asap thank you
Answer:
1. -10 > x
2. No, because the more you raise the ticket price, the less people will attend.
3. C) -x - 6 > -3.5
4. you have to do yourself
Step-by-step explanation:
1. if you solve for 5 - 3x > 35 you get x < -30, which means that any answer will be less than -10
In circle D, EDH LEDG.
1. Determine the length of JG using
circle D.
Show your work and write out your
justification.
E
57°
F
D
Be prepared to answer questions
about additional angles, arcs and
segments from circle D.
C
H
66°
G
2.
G H
In OK, m_HKG=x+10 and
m IKT=3 2 D
Answer:
hey mate
the question is not understandable
A bag contains 3 red marbles, 4 blue marbles and 7 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 100oth, that both marbles drawn will be red?
Answer: 0.214
Step-by-step explanation:
There are a total of 14 marbles in the bag, with only 3 being red. 3/14 converts to 0.214
the mean of three number is 15. if 2 of the numbers are 18 and 16 what is the third number
Answer:
11
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
let the third number be x , then
[tex]\frac{18+16+x}{3}[/tex] = 15 ( multiply both sides by 3 to clear the fraction )
34 + x = 45 ( subtract 34 from both sides )
x = 11 ← third number
What is the nth term rule of the linear sequence -5,-7,-9,-11,-13
Answer:
-7
Step-by-step explanation:
cause I took the test and got it right in my first try
how would i solve this with a graph AND A FUNCTION TABLE?!?!?!?!?
y=-1/4x - 3
ASAP I HAVE A MATH FINAL PLEASE
<2 and <6 -----> Neither
<1 and <4 ------> vertical
Hope it helps you...
What is this expression in simplest form? (x+2)/(4x^2+5x+1) * (4x+1)/(x^2-4)
Answer:
below
Step-by-step explanation:
that is the solution above
The simplest form of the given expression is [tex]\frac{1}{(x+1)(x-2)}[/tex].
What is Algebraic expression?An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.
Here, given expression;
[tex]\frac{x+2}{4x^2+5x+1} X \frac{4x+1}{x^2-4}[/tex]
[tex]\frac{x+2}{4x^2+4x +x+1} X \frac{4x+1}{x^2-2^2}[/tex]
[tex]\frac{x+2}{4x(x+1)+1(x+1)} X \frac{4x+1}{(x+2)(x-2)}[/tex]
[tex]\frac{x+2}{(4x+1)(x+1)} X \frac{4x+1}{(x+2)(x-2)}[/tex]
[tex]\frac{1}{(x+1)(x-2)}[/tex]
Thus, the simplest form of the given expression is [tex]\frac{1}{(x+1)(x-2)}[/tex].
Learn more about Algebraic expression from:
https://brainly.com/question/953809
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Use 3.14 = 7 to find the volume of the composite shape below.
15 in
20 in
18 in
The total volume of this composite shape is
Awnser: 16022 in3
Step-by-step explanation:
find the volume of the 2 cones find the volume if the semicircle then add the 2 volumes together.
What is an equation of the line that passes through the points (-5,6) and (7,6)?
What are the coordinates of the point that is 2/5
of the way from A(-4,-2) to B(11,-2)?
Answer:
brainllest f right
a
Step-by-step explanation:
solve m-13=8 please help me
Answer: 5
Step-by-step explanation:
13-8=5
5-13=8
I need help ASAP I wasn’t paying attention and lowkey forgot all of this
Answer:
35
Step-by-step explanation:
Only if u put x as 35 will the whole triangle sum equal 180 as necessary for the theorem to be true.
the volume of this triangular prism is ….. cubic inches. please someone help, will give brainliest asap just explain how❤️❤️❤️❤️❤️
Answer:
I think the answer is 278.85
Step-by-step explanation:
Answer:
278.85
Step-by-step explanation:
Please help me ASAP!
Answer:
B: 153ft2
Step-by-step explanation:
Answer fast again important
Answer: 17 square inches.
Step-by-step explanation: Area of a triangle is 1/2 x b x h. We can just take the area of half of the whole triangle, and double it. In this case, half of the triangle has an area of 1/2 x 3.4 x 5 = 8.5. Doubling it is the same is doing 8.5 x 2, which equals 17.
the Angle opposite The OPP is
Answer:
Theta
Step-by-step explanation:
Indeed all angles of a triangle have a opposite side. And in trigonometry, the side opposite to theta is opposite side
Determinar el ángulo NPO, si el ángulo PON es igual a 132 grados y el segmento NP es bisectriz del ángulo P y N.
Aquí les dejo una pista, la respuesta correcta es: 24 grados.
The measure of ∠NPO is equivalent to 24°.
What are angles?In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral anglesGiven is that if the angle PON is equal to 132 degrees and the segment NP is bisector of the angle P and N.
Now -
OP = ON
So, this means that ∠OPN = ∠ONP = x° {say}
We can write -
∠OPN + ∠ONP + 132° = 180°
2x = 48°
x = 24°
Therefore, the measure of ∠NPO is equivalent to 24°.
To solve more questions on angles, visit the link below -
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{
Question in English is as follows -
Determine the angle NPO, if the angle PON is equal to 132 degrees and the segment NP is bisector of the angle P and N.
Here's a hint, the correct answer is: 24 degrees.
}
Find the area of each figure. Use 3.14
===============================================================
Explanation:
The top and bottom semicircles can be joined to form a full circle. The same can be said about the left and right semicircles. Each circle has diameter 3 and radius 1.5
The area of one circle is
A = pi*r^2
A = 3.14*(1.5)^2
A = 7.065
So two circles doubles to 2*7.065 = 14.13 square meters in area.
Then the last step is to add on the area of the 3 by 3 square (area 3*3 = 9) to get 14.13+9 = 23.13
This area is approximate because pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate area. However, your teacher wants you to use this specific value so it's best to stick with 23.13
Answer:
23.14
Step-by-step explanation:
The shape is basically two equal-sized circles and a square.
Find the area of the square: 3 x 3 = 9
9 is the area of the square
The formula for finding the area of a circle is pi x radius squared.
3.14 x 1.5 squared = 7.06858
Round to 7.07 and multiply by 2 = 14.14
14.14 (area of both circles) + 9 (area of square) = 23.14
Amy is going on a 4 1 4 4 4 1 mile hike. She has already hiked 2 3 4 2 4 3 miles. How many more miles does she have left
Answer:
1 1/2 miles
Step-by-step explanation:
Amy is going on a 4 1 /4 miles hike. She has already hiked 2 3 /4 miles. How many more miles does she have left?
We solve the above question using the operation of Subtraction
The number of miles she has left is calculated by:
Total number of miles she must hike - Number of miles she has hiked
Total number of miles she must hike
= 4 1/4 miles
Number of miles she has hiked = 2 3/4 miles
Therefore:
The number of miles she has left to hike is = 4 1/4 miles - 2 3/4 miles
Lowest Common Denominator = 4
4 - 2 + ( 1/4 - 3/4)
2 + (1 - 3/4)
2 + -2/4
1 2/4
= 1 1/2 miles
12. Three fifths of the children at my party like chocolate ice cream. How many of the 20 children at my party do not like chocolate ice-cream ? ……………………….
13. I have to pack 296 apples into 8 boxes. How many apples will there be in a box if each box contains the same number of apples? There will be 37
14. If I share 123 sweets equally among amongst 7 children, how many sweets will each child get?
……………………………………..
15. One soccer ball costs $4.50. How much will the soccer will balls in the picture cost?
What is the greatest common factor of 4 - 6а?
Answer:
GCF (4 ,6) = 2
Greatest common factor (GCF)
Step-by-step explanation:
Write the expression in complete factored form.
5c(a + 3) + q(a + 3) =
Answer:
( a + 3 ) ( 5c + q )
Step-by-step explanation:
5c ( a + 3 ) + q ( a + 3 )
= ( a + 3 ) ( 5c + q )
h(x)=sqrt(x) and g (x)=4x^2+4, find h(g(sqrt(a))))
[tex]\begin{cases} h(x)=\sqrt{x}\\ g(x)=4x^2+4 \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ g(\sqrt{a})=4(\sqrt{a})^2+4\implies g(\sqrt{a})=4\sqrt{a^2}+4\implies g(\sqrt{a})=\boxed{4a+4} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ h(~~g(\sqrt{a})~~)\implies h\left( \boxed{4a+4} \right)=\sqrt{4a+4}\implies h(~~4a+4~~)=\sqrt{4(a+1)} \\\\\\ h(~~4a+4~~)=\sqrt{2^2(a+1)}\implies h(~~4a+4~~)=2\sqrt{a+1}[/tex]
